Z3---4.15.1.THM-Ass.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : KRS159+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n015.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 : Sat Jun 21 05:13:30 AM UTC 2025

% Result   : Theorem 0.20s 0.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS159+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Jun 19 19:11:56 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % SZS status Theorem
% 0.20/0.49  % SZS output start Proof
% 0.20/0.49  tff(ra_Px87_type, type, (
% 0.20/0.49     ra_Px87: ( $i * $i ) > $o)).
% 0.20/0.49  tff(tptp_fun_Y0_108_type, type, (
% 0.20/0.49     tptp_fun_Y0_108: $i > $i)).
% 0.20/0.49  tff(iV21030_type, type, (
% 0.20/0.49     iV21030: $i)).
% 0.20/0.49  tff(cC74_type, type, (
% 0.20/0.49     cC74: $i > $o)).
% 0.20/0.49  tff(cC72xcomp_type, type, (
% 0.20/0.49     cC72xcomp: $i > $o)).
% 0.20/0.49  tff(cC18xcomp_type, type, (
% 0.20/0.49     cC18xcomp: $i > $o)).
% 0.20/0.49  tff(ra_Px24_type, type, (
% 0.20/0.49     ra_Px24: ( $i * $i ) > $o)).
% 0.20/0.49  tff(tptp_fun_Y_107_type, type, (
% 0.20/0.49     tptp_fun_Y_107: $i > $i)).
% 0.20/0.49  tff(cC72_type, type, (
% 0.20/0.49     cC72: $i > $o)).
% 0.20/0.49  tff(tptp_fun_Y0_106_type, type, (
% 0.20/0.49     tptp_fun_Y0_106: $i > $i)).
% 0.20/0.49  tff(cowlThing_type, type, (
% 0.20/0.49     cowlThing: $i > $o)).
% 0.20/0.49  tff(tptp_fun_X_122_type, type, (
% 0.20/0.49     tptp_fun_X_122: $i)).
% 0.20/0.49  tff(cowlNothing_type, type, (
% 0.20/0.49     cowlNothing: $i > $o)).
% 0.20/0.49  tff(cC66_type, type, (
% 0.20/0.49     cC66: $i > $o)).
% 0.20/0.49  tff(rR1_type, type, (
% 0.20/0.49     rR1: ( $i * $i ) > $o)).
% 0.20/0.49  tff(cC2xcomp_type, type, (
% 0.20/0.49     cC2xcomp: $i > $o)).
% 0.20/0.49  tff(tptp_fun_Y_69_type, type, (
% 0.20/0.49     tptp_fun_Y_69: $i > $i)).
% 0.20/0.49  tff(iV21032_type, type, (
% 0.20/0.49     iV21032: $i)).
% 0.20/0.49  tff(cC50_type, type, (
% 0.20/0.49     cC50: $i > $o)).
% 0.20/0.49  tff(iV21029_type, type, (
% 0.20/0.49     iV21029: $i)).
% 0.20/0.49  tff(cC12xcomp_type, type, (
% 0.20/0.49     cC12xcomp: $i > $o)).
% 0.20/0.49  tff(tptp_fun_Y_27_type, type, (
% 0.20/0.49     tptp_fun_Y_27: $i > $i)).
% 0.20/0.49  tff(iV21033_type, type, (
% 0.20/0.49     iV21033: $i)).
% 0.20/0.49  tff(cC24_type, type, (
% 0.20/0.49     cC24: $i > $o)).
% 0.20/0.49  tff(iV21027_type, type, (
% 0.20/0.49     iV21027: $i)).
% 0.20/0.49  tff(iV21036_type, type, (
% 0.20/0.49     iV21036: $i)).
% 0.20/0.49  tff(cC30_type, type, (
% 0.20/0.49     cC30: $i > $o)).
% 0.20/0.49  tff(iV21035_type, type, (
% 0.20/0.49     iV21035: $i)).
% 0.20/0.49  tff(xsd_string_type, type, (
% 0.20/0.49     xsd_string: $i > $o)).
% 0.20/0.49  tff(tptp_fun_X_123_type, type, (
% 0.20/0.49     tptp_fun_X_123: $i)).
% 0.20/0.49  tff(xsd_integer_type, type, (
% 0.20/0.49     xsd_integer: $i > $o)).
% 0.20/0.49  tff(cC44_type, type, (
% 0.20/0.49     cC44: $i > $o)).
% 0.20/0.49  tff(iV21034_type, type, (
% 0.20/0.49     iV21034: $i)).
% 0.20/0.49  tff(cC86_type, type, (
% 0.20/0.49     cC86: $i > $o)).
% 0.20/0.49  tff(iV21026_type, type, (
% 0.20/0.49     iV21026: $i)).
% 0.20/0.49  tff(cC84_type, type, (
% 0.20/0.49     cC84: $i > $o)).
% 0.20/0.49  tff(cC82_type, type, (
% 0.20/0.49     cC82: $i > $o)).
% 0.20/0.49  tff(cC80_type, type, (
% 0.20/0.49     cC80: $i > $o)).
% 0.20/0.49  tff(cC64_type, type, (
% 0.20/0.49     cC64: $i > $o)).
% 0.20/0.49  tff(cC62_type, type, (
% 0.20/0.49     cC62: $i > $o)).
% 0.20/0.49  tff(cC60_type, type, (
% 0.20/0.49     cC60: $i > $o)).
% 0.20/0.49  tff(cC42_type, type, (
% 0.20/0.49     cC42: $i > $o)).
% 0.20/0.49  tff(cC58_type, type, (
% 0.20/0.49     cC58: $i > $o)).
% 0.20/0.49  tff(cC38_type, type, (
% 0.20/0.49     cC38: $i > $o)).
% 0.20/0.49  tff(cC40_type, type, (
% 0.20/0.49     cC40: $i > $o)).
% 0.20/0.49  tff(cTOP_type, type, (
% 0.20/0.49     cTOP: $i > $o)).
% 0.20/0.49  tff(cC36_type, type, (
% 0.20/0.49     cC36: $i > $o)).
% 0.20/0.49  tff(cC34xcomp_type, type, (
% 0.20/0.49     cC34xcomp: $i > $o)).
% 0.20/0.49  tff(cC28xcomp_type, type, (
% 0.20/0.49     cC28xcomp: $i > $o)).
% 0.20/0.49  tff(cC56_type, type, (
% 0.20/0.49     cC56: $i > $o)).
% 0.20/0.49  tff(cC54xcomp_type, type, (
% 0.20/0.49     cC54xcomp: $i > $o)).
% 0.20/0.49  tff(cC48xcomp_type, type, (
% 0.20/0.49     cC48xcomp: $i > $o)).
% 0.20/0.49  tff(cC78_type, type, (
% 0.20/0.49     cC78: $i > $o)).
% 0.20/0.49  tff(cC76xcomp_type, type, (
% 0.20/0.49     cC76xcomp: $i > $o)).
% 0.20/0.49  tff(cC70xcomp_type, type, (
% 0.20/0.49     cC70xcomp: $i > $o)).
% 0.20/0.49  tff(cC156_type, type, (
% 0.20/0.49     cC156: $i > $o)).
% 0.20/0.49  tff(cC22_type, type, (
% 0.20/0.49     cC22: $i > $o)).
% 0.20/0.49  tff(cC158_type, type, (
% 0.20/0.49     cC158: $i > $o)).
% 0.20/0.49  tff(cC180_type, type, (
% 0.20/0.49     cC180: $i > $o)).
% 0.20/0.49  tff(cTEST_type, type, (
% 0.20/0.49     cTEST: $i > $o)).
% 0.20/0.49  tff(cC134_type, type, (
% 0.20/0.49     cC134: $i > $o)).
% 0.20/0.49  tff(cC136_type, type, (
% 0.20/0.49     cC136: $i > $o)).
% 0.20/0.49  tff(cC138_type, type, (
% 0.20/0.49     cC138: $i > $o)).
% 0.20/0.49  tff(cC154_type, type, (
% 0.20/0.49     cC154: $i > $o)).
% 0.20/0.49  tff(cC4_type, type, (
% 0.20/0.49     cC4: $i > $o)).
% 0.20/0.49  tff(cC8_type, type, (
% 0.20/0.49     cC8: $i > $o)).
% 0.20/0.49  tff(cC10_type, type, (
% 0.20/0.49     cC10: $i > $o)).
% 0.20/0.49  tff(cC14_type, type, (
% 0.20/0.49     cC14: $i > $o)).
% 0.20/0.49  tff(cC16_type, type, (
% 0.20/0.49     cC16: $i > $o)).
% 0.20/0.49  tff(cC20_type, type, (
% 0.20/0.49     cC20: $i > $o)).
% 0.20/0.49  tff(cC168_type, type, (
% 0.20/0.49     cC168: $i > $o)).
% 0.20/0.49  tff(cC166xcomp_type, type, (
% 0.20/0.49     cC166xcomp: $i > $o)).
% 0.20/0.49  tff(cC162xcomp_type, type, (
% 0.20/0.49     cC162xcomp: $i > $o)).
% 0.20/0.49  tff(cC130_type, type, (
% 0.20/0.49     cC130: $i > $o)).
% 0.20/0.49  tff(cC128xcomp_type, type, (
% 0.20/0.49     cC128xcomp: $i > $o)).
% 0.20/0.49  tff(cC122xcomp_type, type, (
% 0.20/0.49     cC122xcomp: $i > $o)).
% 0.20/0.49  tff(cC88_type, type, (
% 0.20/0.49     cC88: $i > $o)).
% 0.20/0.49  tff(cC152_type, type, (
% 0.20/0.49     cC152: $i > $o)).
% 0.20/0.49  tff(cC150xcomp_type, type, (
% 0.20/0.49     cC150xcomp: $i > $o)).
% 0.20/0.49  tff(cC144xcomp_type, type, (
% 0.20/0.49     cC144xcomp: $i > $o)).
% 0.20/0.49  tff(cC116_type, type, (
% 0.20/0.49     cC116: $i > $o)).
% 0.20/0.49  tff(cC132_type, type, (
% 0.20/0.49     cC132: $i > $o)).
% 0.20/0.49  tff(cC112_type, type, (
% 0.20/0.49     cC112: $i > $o)).
% 0.20/0.49  tff(cC114_type, type, (
% 0.20/0.49     cC114: $i > $o)).
% 0.20/0.49  tff(cC174_type, type, (
% 0.20/0.49     cC174: $i > $o)).
% 0.20/0.49  tff(cC172xcomp_type, type, (
% 0.20/0.49     cC172xcomp: $i > $o)).
% 0.20/0.49  tff(cC110_type, type, (
% 0.20/0.49     cC110: $i > $o)).
% 0.20/0.49  tff(cC108_type, type, (
% 0.20/0.49     cC108: $i > $o)).
% 0.20/0.49  tff(cC98xcomp_type, type, (
% 0.20/0.49     cC98xcomp: $i > $o)).
% 0.20/0.49  tff(cC106xcomp_type, type, (
% 0.20/0.49     cC106xcomp: $i > $o)).
% 0.20/0.49  tff(cC90_type, type, (
% 0.20/0.49     cC90: $i > $o)).
% 0.20/0.49  tff(cC74xcomp_type, type, (
% 0.20/0.49     cC74xcomp: $i > $o)).
% 0.20/0.49  tff(tptp_fun_Y_109_type, type, (
% 0.20/0.49     tptp_fun_Y_109: $i > $i)).
% 0.20/0.49  tff(1,assumption,((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))), introduced(assumption)).
% 0.20/0.49  tff(2,plain,
% 0.20/0.49      (^[X: $i] : rewrite((~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(3,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[2])).
% 0.20/0.49  tff(4,plain,
% 0.20/0.49      (^[X: $i] : refl((~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(5,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[4])).
% 0.20/0.49  tff(6,plain,
% 0.20/0.49      (^[X: $i] : rewrite((~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(7,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[6])).
% 0.20/0.49  tff(8,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(transitivity,[status(thm)],[7, 5])).
% 0.20/0.49  tff(9,plain,
% 0.20/0.49      (^[X: $i] : trans(monotonicity(rewrite((![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))) <=> (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))), (((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> ((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))), rewrite(((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))), (((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(10,plain,
% 0.20/0.49      (![X: $i] : ((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[9])).
% 0.20/0.49  tff(11,plain,
% 0.20/0.49      (^[X: $i] : rewrite(((ra_Px24(X, tptp_fun_Y_107(X)) | cC72xcomp(X)) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> ((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(12,plain,
% 0.20/0.49      (![X: $i] : ((ra_Px24(X, tptp_fun_Y_107(X)) | cC72xcomp(X)) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X)))) <=> ![X: $i] : ((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[11])).
% 0.20/0.49  tff(13,plain,
% 0.20/0.49      (![X: $i] : (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X))) <=> ![X: $i] : (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(14,plain,
% 0.20/0.49      (^[X: $i] : trans(trans(monotonicity(rewrite((~?[Y: $i] : ra_Px24(X, Y)) <=> (~?[Y: $i] : ra_Px24(X, Y))), ((cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))))), rewrite((cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))), ((cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X))))), rewrite((~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X))) <=> (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))), ((cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(15,plain,
% 0.20/0.49      (![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> ![X: $i] : (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[14])).
% 0.20/0.49  tff(16,axiom,(![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_160')).
% 0.20/0.49  tff(17,plain,
% 0.20/0.49      (![X: $i] : (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.49  tff(18,plain,
% 0.20/0.49      (![X: $i] : (~(?[Y: $i] : ra_Px24(X, Y) <=> cC72xcomp(X)))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[17, 13])).
% 0.20/0.49  tff(19,plain,(
% 0.20/0.49      ![X: $i] : ((ra_Px24(X, tptp_fun_Y_107(X)) | cC72xcomp(X)) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))),
% 0.20/0.49      inference(skolemize,[status(sab)],[18])).
% 0.20/0.49  tff(20,plain,
% 0.20/0.49      (![X: $i] : ((cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))) & (![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[19, 12])).
% 0.20/0.49  tff(21,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[20, 10])).
% 0.20/0.49  tff(22,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~(![Y: $i] : (~ra_Px24(X, Y)) | (~cC72xcomp(X))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[21, 8])).
% 0.20/0.49  tff(23,plain,
% 0.20/0.49      (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[22, 3])).
% 0.20/0.49  tff(24,plain,
% 0.20/0.49      ((~![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))) | (~((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))))),
% 0.20/0.49      inference(quant_inst,[status(thm)],[])).
% 0.20/0.49  tff(25,plain,
% 0.20/0.49      ($false),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[24, 23, 1])).
% 0.20/0.49  tff(26,plain,(~((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49  tff(27,plain,
% 0.20/0.49      (((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))) | (cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))),
% 0.20/0.49      inference(tautology,[status(thm)],[])).
% 0.20/0.49  tff(28,plain,
% 0.20/0.49      (cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030))),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[27, 26])).
% 0.20/0.49  tff(29,assumption,(ra_Px24(iV21030, tptp_fun_Y_107(iV21030))), introduced(assumption)).
% 0.20/0.49  tff(30,plain,
% 0.20/0.49      (^[X: $i] : refl((~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(31,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[30])).
% 0.20/0.49  tff(32,plain,
% 0.20/0.49      (^[X: $i] : rewrite((~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(33,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[32])).
% 0.20/0.49  tff(34,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(transitivity,[status(thm)],[33, 31])).
% 0.20/0.49  tff(35,plain,
% 0.20/0.49      (^[X: $i] : trans(monotonicity(rewrite((cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))) <=> (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))), ((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))), rewrite((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))), ((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(36,plain,
% 0.20/0.49      (![X: $i] : (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[35])).
% 0.20/0.49  tff(37,plain,
% 0.20/0.49      (![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0)) <=> ![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(38,axiom,(![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_158')).
% 0.20/0.49  tff(39,plain,
% 0.20/0.49      (![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.49  tff(40,plain,(
% 0.20/0.49      ![X: $i] : (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))),
% 0.20/0.49      inference(skolemize,[status(sab)],[39])).
% 0.20/0.49  tff(41,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[40, 36])).
% 0.20/0.49  tff(42,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[41, 34])).
% 0.20/0.49  tff(43,plain,
% 0.20/0.49      ((~![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))) | (~((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))))))),
% 0.20/0.49      inference(quant_inst,[status(thm)],[])).
% 0.20/0.49  tff(44,plain,
% 0.20/0.49      (~((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))))),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[43, 42])).
% 0.20/0.49  tff(45,plain,
% 0.20/0.49      (((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))))) | (cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))),
% 0.20/0.49      inference(tautology,[status(thm)],[])).
% 0.20/0.49  tff(46,plain,
% 0.20/0.49      (cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[45, 44])).
% 0.20/0.49  tff(47,assumption,(cowlNothing(X!122) | (~cowlThing(X!122))), introduced(assumption)).
% 0.20/0.49  tff(48,plain,
% 0.20/0.49      (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(49,plain,
% 0.20/0.49      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[48])).
% 0.20/0.49  tff(50,plain,
% 0.20/0.49      (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(51,plain,
% 0.20/0.49      (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[50])).
% 0.20/0.49  tff(52,plain,
% 0.20/0.49      (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(53,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.20/0.49  tff(54,plain,
% 0.20/0.49      (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[53, 52])).
% 0.20/0.49  tff(55,plain,(
% 0.20/0.49      ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.49      inference(skolemize,[status(sab)],[54])).
% 0.20/0.49  tff(56,plain,
% 0.20/0.49      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[55, 51])).
% 0.20/0.49  tff(57,plain,
% 0.20/0.49      (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[56, 49])).
% 0.20/0.49  tff(58,plain,
% 0.20/0.49      ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!122) | (~cowlThing(X!122))))),
% 0.20/0.49      inference(quant_inst,[status(thm)],[])).
% 0.20/0.49  tff(59,plain,
% 0.20/0.49      ($false),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[58, 57, 47])).
% 0.20/0.49  tff(60,plain,(~(cowlNothing(X!122) | (~cowlThing(X!122)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49  tff(61,plain,
% 0.20/0.49      ((cowlNothing(X!122) | (~cowlThing(X!122))) | cowlThing(X!122)),
% 0.20/0.49      inference(tautology,[status(thm)],[])).
% 0.20/0.49  tff(62,plain,
% 0.20/0.49      (cowlThing(X!122)),
% 0.20/0.49      inference(unit_resolution,[status(thm)],[61, 60])).
% 0.20/0.49  tff(63,assumption,((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030)))))))), introduced(assumption)).
% 0.20/0.49  tff(64,plain,
% 0.20/0.49      (^[X: $i] : refl((~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(65,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[64])).
% 0.20/0.49  tff(66,plain,
% 0.20/0.49      (^[X: $i] : rewrite((~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(67,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[66])).
% 0.20/0.49  tff(68,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(transitivity,[status(thm)],[67, 65])).
% 0.20/0.49  tff(69,plain,
% 0.20/0.49      (^[X: $i] : trans(monotonicity(rewrite(((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.20/0.49      inference(bind,[status(th)],[])).
% 0.20/0.49  tff(70,plain,
% 0.20/0.49      (![X: $i] : (((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(quant_intro,[status(thm)],[69])).
% 0.20/0.49  tff(71,plain,
% 0.20/0.49      (![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(72,axiom,(![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_150')).
% 0.20/0.49  tff(73,plain,
% 0.20/0.49      (![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[72, 71])).
% 0.20/0.49  tff(74,plain,(
% 0.20/0.49      ![X: $i] : (((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.20/0.49      inference(skolemize,[status(sab)],[73])).
% 0.20/0.49  tff(75,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[74, 70])).
% 0.20/0.49  tff(76,plain,
% 0.20/0.49      (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.49      inference(modus_ponens,[status(thm)],[75, 68])).
% 0.20/0.49  tff(77,plain,
% 0.20/0.49      (((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030)))))))))) <=> ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030))))))))))),
% 0.20/0.49      inference(rewrite,[status(thm)],[])).
% 0.20/0.49  tff(78,plain,
% 0.20/0.49      ((~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))))) <=> (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030)))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(79,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))))) <=> ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030))))))))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[78])).
% 0.20/0.50  tff(80,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))))) <=> ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030))))))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[79, 77])).
% 0.20/0.50  tff(81,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(82,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030)))))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[81, 80])).
% 0.20/0.50  tff(83,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[82, 76, 63])).
% 0.20/0.50  tff(84,plain,(~((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(85,plain,
% 0.20/0.50      (((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | (~((~cC66(iV21030)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21030))) | (~rR1(iV21030, tptp_fun_Y_69(iV21030)))))))) | (cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(86,plain,
% 0.20/0.50      (cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.50  tff(87,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))), introduced(assumption)).
% 0.20/0.50  tff(88,plain,
% 0.20/0.50      (cC2xcomp(iV21032) <=> cC2xcomp(iV21032)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(89,axiom,(cC2xcomp(iV21032)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_312')).
% 0.20/0.50  tff(90,plain,
% 0.20/0.50      (cC2xcomp(iV21032)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[89, 88])).
% 0.20/0.50  tff(91,plain,
% 0.20/0.50      (rR1(iV21030, iV21032) <=> rR1(iV21030, iV21032)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(92,axiom,(rR1(iV21030, iV21032)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_309')).
% 0.20/0.50  tff(93,plain,
% 0.20/0.50      (rR1(iV21030, iV21032)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.50  tff(94,plain,
% 0.20/0.50      (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | ((~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | (~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(95,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | ((~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(96,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | (~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[95, 94])).
% 0.20/0.50  tff(97,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[96, 93, 90, 87])).
% 0.20/0.50  tff(98,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(99,plain,
% 0.20/0.50      ((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(100,plain,
% 0.20/0.50      ((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | cC66(iV21030)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[99, 98])).
% 0.20/0.50  tff(101,plain,
% 0.20/0.50      (cC66(iV21030)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[100, 86])).
% 0.20/0.50  tff(102,assumption,((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029)))))))), introduced(assumption)).
% 0.20/0.50  tff(103,plain,
% 0.20/0.50      (^[X: $i] : refl((~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(104,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[103])).
% 0.20/0.50  tff(105,plain,
% 0.20/0.50      (^[X: $i] : rewrite((~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(106,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[105])).
% 0.20/0.50  tff(107,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[106, 104])).
% 0.20/0.50  tff(108,plain,
% 0.20/0.50      (^[X: $i] : trans(monotonicity(rewrite(((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) <=> ((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))), rewrite((cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))) <=> (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))), ((((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(109,plain,
% 0.20/0.50      (![X: $i] : (((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[108])).
% 0.20/0.50  tff(110,plain,
% 0.20/0.50      (![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y))) <=> ![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(111,axiom,(![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_133')).
% 0.20/0.50  tff(112,plain,
% 0.20/0.50      (![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[111, 110])).
% 0.20/0.50  tff(113,plain,(
% 0.20/0.50      ![X: $i] : (((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))))),
% 0.20/0.50      inference(skolemize,[status(sab)],[112])).
% 0.20/0.50  tff(114,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[113, 109])).
% 0.20/0.50  tff(115,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[114, 107])).
% 0.20/0.50  tff(116,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029)))))))))) <=> ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029))))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(117,plain,
% 0.20/0.50      ((~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))))) <=> (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029)))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(118,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029))))))))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[117])).
% 0.20/0.50  tff(119,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029))))))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[118, 116])).
% 0.20/0.50  tff(120,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(121,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029)))))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[120, 119])).
% 0.20/0.50  tff(122,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[121, 115, 102])).
% 0.20/0.50  tff(123,plain,(~((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(124,plain,
% 0.20/0.50      (((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC50(iV21029)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21029))) | (~rR1(iV21029, tptp_fun_Y_27(iV21029)))))))) | (cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(125,plain,
% 0.20/0.50      (cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[124, 123])).
% 0.20/0.50  tff(126,assumption,(![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))), introduced(assumption)).
% 0.20/0.50  tff(127,plain,
% 0.20/0.50      (cC12xcomp(iV21033) <=> cC12xcomp(iV21033)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(128,axiom,(cC12xcomp(iV21033)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_319')).
% 0.20/0.50  tff(129,plain,
% 0.20/0.50      (cC12xcomp(iV21033)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.50  tff(130,plain,
% 0.20/0.50      (rR1(iV21029, iV21033) <=> rR1(iV21029, iV21033)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(131,axiom,(rR1(iV21029, iV21033)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_282')).
% 0.20/0.50  tff(132,plain,
% 0.20/0.50      (rR1(iV21029, iV21033)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.50  tff(133,plain,
% 0.20/0.50      (((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))) <=> ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(134,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(135,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[134, 133])).
% 0.20/0.50  tff(136,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[135, 132, 129, 126])).
% 0.20/0.50  tff(137,plain,(~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(138,plain,
% 0.20/0.50      ((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(139,plain,
% 0.20/0.50      ((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | cC50(iV21029)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[138, 137])).
% 0.20/0.50  tff(140,plain,
% 0.20/0.50      (cC50(iV21029)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[139, 125])).
% 0.20/0.50  tff(141,assumption,((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027)))))))), introduced(assumption)).
% 0.20/0.50  tff(142,plain,
% 0.20/0.50      (^[X: $i] : refl((~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(143,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[142])).
% 0.20/0.50  tff(144,plain,
% 0.20/0.50      (^[X: $i] : rewrite((~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(145,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[144])).
% 0.20/0.50  tff(146,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[145, 143])).
% 0.20/0.50  tff(147,plain,
% 0.20/0.50      (^[X: $i] : trans(monotonicity(rewrite(((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(148,plain,
% 0.20/0.50      (![X: $i] : (((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[147])).
% 0.20/0.50  tff(149,plain,
% 0.20/0.50      (![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(150,axiom,(![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_102')).
% 0.20/0.50  tff(151,plain,
% 0.20/0.50      (![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.50  tff(152,plain,(
% 0.20/0.50      ![X: $i] : (((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.20/0.50      inference(skolemize,[status(sab)],[151])).
% 0.20/0.50  tff(153,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[152, 148])).
% 0.20/0.50  tff(154,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[153, 146])).
% 0.20/0.50  tff(155,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027)))))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027))))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(156,plain,
% 0.20/0.50      ((~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))))) <=> (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027)))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(157,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027))))))))))),
% 0.20/0.50      inference(monotonicity,[status(thm)],[156])).
% 0.20/0.50  tff(158,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027))))))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[157, 155])).
% 0.20/0.50  tff(159,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(160,plain,
% 0.20/0.50      ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027)))))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[159, 158])).
% 0.20/0.50  tff(161,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[160, 154, 141])).
% 0.20/0.50  tff(162,plain,(~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(163,plain,
% 0.20/0.50      (((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21027))) | (~rR1(iV21027, tptp_fun_Y_69(iV21027)))))))) | (cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(164,plain,
% 0.20/0.50      (cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[163, 162])).
% 0.20/0.50  tff(165,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))), introduced(assumption)).
% 0.20/0.50  tff(166,plain,
% 0.20/0.50      (cC2xcomp(iV21036) <=> cC2xcomp(iV21036)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(167,axiom,(cC2xcomp(iV21036)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_337')).
% 0.20/0.50  tff(168,plain,
% 0.20/0.50      (cC2xcomp(iV21036)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[167, 166])).
% 0.20/0.50  tff(169,plain,
% 0.20/0.50      (rR1(iV21027, iV21036) <=> rR1(iV21027, iV21036)),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(170,axiom,(rR1(iV21027, iV21036)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_252')).
% 0.20/0.50  tff(171,plain,
% 0.20/0.50      (rR1(iV21027, iV21036)),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[170, 169])).
% 0.20/0.50  tff(172,plain,
% 0.20/0.50      (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(173,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))),
% 0.20/0.50      inference(quant_inst,[status(thm)],[])).
% 0.20/0.50  tff(174,plain,
% 0.20/0.50      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[173, 172])).
% 0.20/0.50  tff(175,plain,
% 0.20/0.50      ($false),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[174, 171, 168, 165])).
% 0.20/0.50  tff(176,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50  tff(177,plain,
% 0.20/0.50      ((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.20/0.50      inference(tautology,[status(thm)],[])).
% 0.20/0.50  tff(178,plain,
% 0.20/0.50      ((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | cC24(iV21027)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[177, 176])).
% 0.20/0.50  tff(179,plain,
% 0.20/0.50      (cC24(iV21027)),
% 0.20/0.50      inference(unit_resolution,[status(thm)],[178, 164])).
% 0.20/0.50  tff(180,assumption,((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027)))))))), introduced(assumption)).
% 0.20/0.50  tff(181,plain,
% 0.20/0.50      (^[X: $i] : refl((~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(182,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[181])).
% 0.20/0.50  tff(183,plain,
% 0.20/0.50      (^[X: $i] : rewrite((~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(184,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[183])).
% 0.20/0.50  tff(185,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(transitivity,[status(thm)],[184, 182])).
% 0.20/0.50  tff(186,plain,
% 0.20/0.50      (^[X: $i] : trans(monotonicity(rewrite(((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) <=> ((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))), rewrite((cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))) <=> (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))), ((((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.20/0.50      inference(bind,[status(th)],[])).
% 0.20/0.50  tff(187,plain,
% 0.20/0.50      (![X: $i] : (((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(quant_intro,[status(thm)],[186])).
% 0.20/0.50  tff(188,plain,
% 0.20/0.50      (![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y))) <=> ![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(189,axiom,(![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_111')).
% 0.20/0.50  tff(190,plain,
% 0.20/0.50      (![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[189, 188])).
% 0.20/0.50  tff(191,plain,(
% 0.20/0.50      ![X: $i] : (((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))))),
% 0.20/0.50      inference(skolemize,[status(sab)],[190])).
% 0.20/0.50  tff(192,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[191, 187])).
% 0.20/0.50  tff(193,plain,
% 0.20/0.50      (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.50      inference(modus_ponens,[status(thm)],[192, 185])).
% 0.20/0.50  tff(194,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027)))))))))) <=> ((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027))))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(195,plain,
% 0.20/0.50      ((~((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))))) <=> (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027)))))))))),
% 0.20/0.50      inference(rewrite,[status(thm)],[])).
% 0.20/0.50  tff(196,plain,
% 0.20/0.50      (((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027))))))))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[195])).
% 0.20/0.51  tff(197,plain,
% 0.20/0.51      (((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027))))))))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[196, 194])).
% 0.20/0.51  tff(198,plain,
% 0.20/0.51      ((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(199,plain,
% 0.20/0.51      ((~![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027)))))))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[198, 197])).
% 0.20/0.51  tff(200,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[199, 193, 180])).
% 0.20/0.51  tff(201,plain,(~((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(202,plain,
% 0.20/0.51      (((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC30(iV21027)) | (~((~cC12xcomp(tptp_fun_Y_27(iV21027))) | (~rR1(iV21027, tptp_fun_Y_27(iV21027)))))))) | (cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(203,plain,
% 0.20/0.51      (cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[202, 201])).
% 0.20/0.51  tff(204,assumption,(![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))), introduced(assumption)).
% 0.20/0.51  tff(205,plain,
% 0.20/0.51      (cC12xcomp(iV21035) <=> cC12xcomp(iV21035)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(206,axiom,(cC12xcomp(iV21035)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_331')).
% 0.20/0.51  tff(207,plain,
% 0.20/0.51      (cC12xcomp(iV21035)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[206, 205])).
% 0.20/0.51  tff(208,plain,
% 0.20/0.51      (rR1(iV21027, iV21035) <=> rR1(iV21027, iV21035)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(209,axiom,(rR1(iV21027, iV21035)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_253')).
% 0.20/0.51  tff(210,plain,
% 0.20/0.51      (rR1(iV21027, iV21035)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[209, 208])).
% 0.20/0.51  tff(211,plain,
% 0.20/0.51      (((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC12xcomp(iV21035)) | (~rR1(iV21027, iV21035)))) <=> ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC12xcomp(iV21035)) | (~rR1(iV21027, iV21035)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(212,plain,
% 0.20/0.51      ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC12xcomp(iV21035)) | (~rR1(iV21027, iV21035)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(213,plain,
% 0.20/0.51      ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC12xcomp(iV21035)) | (~rR1(iV21027, iV21035))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.51  tff(214,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[213, 210, 207, 204])).
% 0.20/0.51  tff(215,plain,(~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(216,plain,
% 0.20/0.51      ((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(217,plain,
% 0.20/0.51      ((~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))) | cC30(iV21027)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[216, 215])).
% 0.20/0.51  tff(218,plain,
% 0.20/0.51      (cC30(iV21027)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[217, 203])).
% 0.20/0.51  tff(219,assumption,(xsd_integer(X!123) <=> xsd_string(X!123)), introduced(assumption)).
% 0.20/0.51  tff(220,plain,
% 0.20/0.51      (^[X: $i] : refl((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(221,plain,
% 0.20/0.51      (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[220])).
% 0.20/0.51  tff(222,plain,
% 0.20/0.51      (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(223,plain,
% 0.20/0.51      (^[X: $i] : trans(rewrite((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), rewrite((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), ((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(224,plain,
% 0.20/0.51      (![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[223])).
% 0.20/0.51  tff(225,axiom,(![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_1')).
% 0.20/0.51  tff(226,plain,
% 0.20/0.51      (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[225, 224])).
% 0.20/0.51  tff(227,plain,
% 0.20/0.51      (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[226, 222])).
% 0.20/0.51  tff(228,plain,(
% 0.20/0.51      ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[227])).
% 0.20/0.51  tff(229,plain,
% 0.20/0.51      (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[228, 221])).
% 0.20/0.51  tff(230,plain,
% 0.20/0.51      ((~![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))) | (~(xsd_integer(X!123) <=> xsd_string(X!123)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(231,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[230, 229, 219])).
% 0.20/0.51  tff(232,plain,(~(xsd_integer(X!123) <=> xsd_string(X!123))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(233,plain,
% 0.20/0.51      ((cowlNothing(X!122) | (~cowlThing(X!122))) | (~cowlNothing(X!122))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(234,plain,
% 0.20/0.51      (~cowlNothing(X!122)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[233, 60])).
% 0.20/0.51  tff(235,assumption,((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029)))))))), introduced(assumption)).
% 0.20/0.51  tff(236,plain,
% 0.20/0.51      (^[X: $i] : refl((~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(237,plain,
% 0.20/0.51      (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[236])).
% 0.20/0.51  tff(238,plain,
% 0.20/0.51      (^[X: $i] : rewrite((~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(239,plain,
% 0.20/0.51      (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[238])).
% 0.20/0.51  tff(240,plain,
% 0.20/0.51      (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[239, 237])).
% 0.20/0.51  tff(241,plain,
% 0.20/0.51      (^[X: $i] : trans(monotonicity(rewrite(((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(242,plain,
% 0.20/0.51      (![X: $i] : (((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[241])).
% 0.20/0.51  tff(243,plain,
% 0.20/0.51      (![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(244,axiom,(![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_125')).
% 0.20/0.51  tff(245,plain,
% 0.20/0.51      (![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.51  tff(246,plain,(
% 0.20/0.51      ![X: $i] : (((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.20/0.51      inference(skolemize,[status(sab)],[245])).
% 0.20/0.51  tff(247,plain,
% 0.20/0.51      (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[246, 242])).
% 0.20/0.51  tff(248,plain,
% 0.20/0.51      (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[247, 240])).
% 0.20/0.51  tff(249,plain,
% 0.20/0.51      (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029)))))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029))))))))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(250,plain,
% 0.20/0.51      ((~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))))) <=> (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029)))))))))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(251,plain,
% 0.20/0.51      (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029))))))))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[250])).
% 0.20/0.51  tff(252,plain,
% 0.20/0.51      (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029))))))))))),
% 0.20/0.51      inference(transitivity,[status(thm)],[251, 249])).
% 0.20/0.51  tff(253,plain,
% 0.20/0.51      ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(254,plain,
% 0.20/0.51      ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029)))))))))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[253, 252])).
% 0.20/0.51  tff(255,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[254, 248, 235])).
% 0.20/0.51  tff(256,plain,(~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029))))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(257,plain,
% 0.20/0.51      (((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~cC2xcomp(tptp_fun_Y_69(iV21029))) | (~rR1(iV21029, tptp_fun_Y_69(iV21029)))))))) | (cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(258,plain,
% 0.20/0.51      (cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[257, 256])).
% 0.20/0.51  tff(259,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))), introduced(assumption)).
% 0.20/0.51  tff(260,plain,
% 0.20/0.51      (cC2xcomp(iV21034) <=> cC2xcomp(iV21034)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(261,axiom,(cC2xcomp(iV21034)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_325')).
% 0.20/0.51  tff(262,plain,
% 0.20/0.51      (cC2xcomp(iV21034)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[261, 260])).
% 0.20/0.51  tff(263,plain,
% 0.20/0.51      (rR1(iV21029, iV21034) <=> rR1(iV21029, iV21034)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(264,axiom,(rR1(iV21029, iV21034)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_281')).
% 0.20/0.51  tff(265,plain,
% 0.20/0.51      (rR1(iV21029, iV21034)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[264, 263])).
% 0.20/0.51  tff(266,plain,
% 0.20/0.51      (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(267,plain,
% 0.20/0.51      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(268,plain,
% 0.20/0.51      ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[267, 266])).
% 0.20/0.51  tff(269,plain,
% 0.20/0.51      ($false),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[268, 265, 262, 259])).
% 0.20/0.51  tff(270,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51  tff(271,plain,
% 0.20/0.51      ((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(272,plain,
% 0.20/0.51      ((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | cC44(iV21029)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[271, 270])).
% 0.20/0.51  tff(273,plain,
% 0.20/0.51      (cC44(iV21029)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[272, 258])).
% 0.20/0.51  tff(274,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(275,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> ![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[274])).
% 0.20/0.51  tff(276,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC82(X) & cC84(X)) <=> (~((~cC82(X)) | (~cC84(X))))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (cC86(X) <=> (~((~cC82(X)) | (~cC84(X))))))), rewrite((cC86(X) <=> (~((~cC82(X)) | (~cC84(X))))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))))), rewrite((~(((~cC82(X)) | (~cC84(X))) <=> cC86(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))), ((cC86(X) <=> (cC82(X) & cC84(X))) <=> (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(277,plain,
% 0.20/0.51      (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X))) <=> ![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[276])).
% 0.20/0.51  tff(278,plain,
% 0.20/0.51      (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X))) <=> ![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(279,axiom,(![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_172')).
% 0.20/0.51  tff(280,plain,
% 0.20/0.51      (![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.51  tff(281,plain,(
% 0.20/0.51      ![X: $i] : (cC86(X) <=> (cC82(X) & cC84(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[280])).
% 0.20/0.51  tff(282,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[281, 277])).
% 0.20/0.51  tff(283,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[282, 275])).
% 0.20/0.51  tff(284,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC82(X)) | (~cC84(X))) <=> cC86(X)))) | (~(((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(285,plain,
% 0.20/0.51      (~(((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[284, 283])).
% 0.20/0.51  tff(286,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC64(X)) | (~cC80(X))) <=> cC82(X))) <=> (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(287,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X))) <=> ![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[286])).
% 0.20/0.51  tff(288,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC64(X) & cC80(X)) <=> (~((~cC64(X)) | (~cC80(X))))), ((cC82(X) <=> (cC64(X) & cC80(X))) <=> (cC82(X) <=> (~((~cC64(X)) | (~cC80(X))))))), rewrite((cC82(X) <=> (~((~cC64(X)) | (~cC80(X))))) <=> (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))), ((cC82(X) <=> (cC64(X) & cC80(X))) <=> (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X))))), rewrite((~(((~cC64(X)) | (~cC80(X))) <=> cC82(X))) <=> (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))), ((cC82(X) <=> (cC64(X) & cC80(X))) <=> (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(289,plain,
% 0.20/0.51      (![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X))) <=> ![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[288])).
% 0.20/0.51  tff(290,plain,
% 0.20/0.51      (![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X))) <=> ![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(291,axiom,(![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_170')).
% 0.20/0.51  tff(292,plain,
% 0.20/0.51      (![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[291, 290])).
% 0.20/0.51  tff(293,plain,(
% 0.20/0.51      ![X: $i] : (cC82(X) <=> (cC64(X) & cC80(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[292])).
% 0.20/0.51  tff(294,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[293, 289])).
% 0.20/0.51  tff(295,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[294, 287])).
% 0.20/0.51  tff(296,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC64(X)) | (~cC80(X))) <=> cC82(X)))) | (~(((~cC64(iV21026)) | (~cC80(iV21026))) <=> cC82(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(297,plain,
% 0.20/0.51      (~(((~cC64(iV21026)) | (~cC80(iV21026))) <=> cC82(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[296, 295])).
% 0.20/0.51  tff(298,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC60(X)) | (~cC62(X))) <=> cC64(X))) <=> (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(299,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X))) <=> ![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[298])).
% 0.20/0.51  tff(300,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC60(X) & cC62(X)) <=> (~((~cC60(X)) | (~cC62(X))))), ((cC64(X) <=> (cC60(X) & cC62(X))) <=> (cC64(X) <=> (~((~cC60(X)) | (~cC62(X))))))), rewrite((cC64(X) <=> (~((~cC60(X)) | (~cC62(X))))) <=> (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))), ((cC64(X) <=> (cC60(X) & cC62(X))) <=> (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X))))), rewrite((~(((~cC60(X)) | (~cC62(X))) <=> cC64(X))) <=> (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))), ((cC64(X) <=> (cC60(X) & cC62(X))) <=> (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(301,plain,
% 0.20/0.51      (![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X))) <=> ![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[300])).
% 0.20/0.51  tff(302,plain,
% 0.20/0.51      (![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X))) <=> ![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(303,axiom,(![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_148')).
% 0.20/0.51  tff(304,plain,
% 0.20/0.51      (![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[303, 302])).
% 0.20/0.51  tff(305,plain,(
% 0.20/0.51      ![X: $i] : (cC64(X) <=> (cC60(X) & cC62(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[304])).
% 0.20/0.51  tff(306,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[305, 301])).
% 0.20/0.51  tff(307,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[306, 299])).
% 0.20/0.51  tff(308,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC60(X)) | (~cC62(X))) <=> cC64(X)))) | (~(((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(309,plain,
% 0.20/0.51      (~(((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[308, 307])).
% 0.20/0.51  tff(310,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC58(X)) | (~cC42(X))) <=> cC60(X))) <=> (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(311,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X))) <=> ![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[310])).
% 0.20/0.51  tff(312,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC58(X) & cC42(X)) <=> (~((~cC58(X)) | (~cC42(X))))), ((cC60(X) <=> (cC58(X) & cC42(X))) <=> (cC60(X) <=> (~((~cC58(X)) | (~cC42(X))))))), rewrite((cC60(X) <=> (~((~cC58(X)) | (~cC42(X))))) <=> (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))), ((cC60(X) <=> (cC58(X) & cC42(X))) <=> (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X))))), rewrite((~(((~cC58(X)) | (~cC42(X))) <=> cC60(X))) <=> (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))), ((cC60(X) <=> (cC58(X) & cC42(X))) <=> (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(313,plain,
% 0.20/0.51      (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X))) <=> ![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[312])).
% 0.20/0.51  tff(314,plain,
% 0.20/0.51      (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X))) <=> ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(315,axiom,(![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_146')).
% 0.20/0.51  tff(316,plain,
% 0.20/0.51      (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[315, 314])).
% 0.20/0.51  tff(317,plain,(
% 0.20/0.51      ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[316])).
% 0.20/0.51  tff(318,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[317, 313])).
% 0.20/0.51  tff(319,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[318, 311])).
% 0.20/0.51  tff(320,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC58(X)) | (~cC42(X))) <=> cC60(X)))) | (~(((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(321,plain,
% 0.20/0.51      (~(((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[320, 319])).
% 0.20/0.51  tff(322,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC40(X)) | (~cC38(X))) <=> cC42(X))) <=> (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(323,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X))) <=> ![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[322])).
% 0.20/0.51  tff(324,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC40(X) & cC38(X)) <=> (~((~cC40(X)) | (~cC38(X))))), ((cC42(X) <=> (cC40(X) & cC38(X))) <=> (cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))))), rewrite((cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))) <=> (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))), ((cC42(X) <=> (cC40(X) & cC38(X))) <=> (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X))))), rewrite((~(((~cC40(X)) | (~cC38(X))) <=> cC42(X))) <=> (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))), ((cC42(X) <=> (cC40(X) & cC38(X))) <=> (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(325,plain,
% 0.20/0.51      (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[324])).
% 0.20/0.51  tff(326,plain,
% 0.20/0.51      (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(327,axiom,(![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_123')).
% 0.20/0.51  tff(328,plain,
% 0.20/0.51      (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[327, 326])).
% 0.20/0.51  tff(329,plain,(
% 0.20/0.51      ![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[328])).
% 0.20/0.51  tff(330,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[329, 325])).
% 0.20/0.51  tff(331,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[330, 323])).
% 0.20/0.51  tff(332,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC40(X)) | (~cC38(X))) <=> cC42(X)))) | (~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(333,plain,
% 0.20/0.51      (~(((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[332, 331])).
% 0.20/0.51  tff(334,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(335,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> ![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[334])).
% 0.20/0.51  tff(336,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC36(X) & cTOP(X)) <=> (~((~cC36(X)) | (~cTOP(X))))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))))), rewrite((cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))))), rewrite((~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))), ((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(337,plain,
% 0.20/0.51      (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[336])).
% 0.20/0.51  tff(338,plain,
% 0.20/0.51      (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(339,axiom,(![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_120')).
% 0.20/0.51  tff(340,plain,
% 0.20/0.51      (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[339, 338])).
% 0.20/0.51  tff(341,plain,(
% 0.20/0.51      ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[340])).
% 0.20/0.51  tff(342,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[341, 337])).
% 0.20/0.51  tff(343,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[342, 335])).
% 0.20/0.51  tff(344,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC36(X)) | (~cTOP(X))) <=> cC38(X)))) | (~(((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(345,plain,
% 0.20/0.51      (~(((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[344, 343])).
% 0.20/0.51  tff(346,plain,
% 0.20/0.51      (^[X: $i] : refl((~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X))) <=> (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(347,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X))) <=> ![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[346])).
% 0.20/0.51  tff(348,plain,
% 0.20/0.51      (^[X: $i] : trans(trans(monotonicity(rewrite((cC34xcomp(X) & cC28xcomp(X)) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))), ((cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))))), rewrite((cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))) <=> (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))), ((cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X))))), rewrite((~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X))) <=> (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))), ((cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(349,plain,
% 0.20/0.51      (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> ![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[348])).
% 0.20/0.51  tff(350,plain,
% 0.20/0.51      (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> ![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(351,axiom,(![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_119')).
% 0.20/0.51  tff(352,plain,
% 0.20/0.51      (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[351, 350])).
% 0.20/0.51  tff(353,plain,(
% 0.20/0.51      ![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.20/0.51      inference(skolemize,[status(sab)],[352])).
% 0.20/0.51  tff(354,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[353, 349])).
% 0.20/0.51  tff(355,plain,
% 0.20/0.51      (![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[354, 347])).
% 0.20/0.51  tff(356,plain,
% 0.20/0.51      ((~![X: $i] : (~(((~cC28xcomp(X)) | (~cC34xcomp(X))) <=> cC36(X)))) | (~(((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))) <=> cC36(iV21026)))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(357,plain,
% 0.20/0.51      (~(((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))) <=> cC36(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[356, 355])).
% 0.20/0.51  tff(358,plain,
% 0.20/0.51      (cC28xcomp(iV21026) <=> cC28xcomp(iV21026)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(359,axiom,(cC28xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_205')).
% 0.20/0.51  tff(360,plain,
% 0.20/0.51      (cC28xcomp(iV21026)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[359, 358])).
% 0.20/0.51  tff(361,plain,
% 0.20/0.51      (cC34xcomp(iV21026) <=> cC34xcomp(iV21026)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(362,axiom,(cC34xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_203')).
% 0.20/0.51  tff(363,plain,
% 0.20/0.51      (cC34xcomp(iV21026)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[362, 361])).
% 0.20/0.51  tff(364,plain,
% 0.20/0.51      ((~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))) | (~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(365,plain,
% 0.20/0.51      (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[364, 363, 360])).
% 0.20/0.51  tff(366,plain,
% 0.20/0.51      ((((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))) <=> cC36(iV21026)) | ((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))) | cC36(iV21026)),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(367,plain,
% 0.20/0.51      ((((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))) <=> cC36(iV21026)) | cC36(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[366, 365])).
% 0.20/0.51  tff(368,plain,
% 0.20/0.51      (cC36(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[367, 357])).
% 0.20/0.51  tff(369,plain,
% 0.20/0.51      (cTOP(iV21026) <=> cTOP(iV21026)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(370,axiom,(cTOP(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_190')).
% 0.20/0.51  tff(371,plain,
% 0.20/0.51      (cTOP(iV21026)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[370, 369])).
% 0.20/0.51  tff(372,plain,
% 0.20/0.51      ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(373,plain,
% 0.20/0.51      ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[372, 371])).
% 0.20/0.51  tff(374,plain,
% 0.20/0.51      (~((~cC36(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[373, 368])).
% 0.20/0.51  tff(375,plain,
% 0.20/0.51      ((((~cC36(iV21026)) | (~cTOP(iV21026))) <=> cC38(iV21026)) | ((~cC36(iV21026)) | (~cTOP(iV21026))) | cC38(iV21026)),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(376,plain,
% 0.20/0.51      (cC38(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[375, 374, 345])).
% 0.20/0.51  tff(377,plain,
% 0.20/0.51      (^[X: $i] : refl((cC40(X) <=> cTOP(X)) <=> (cC40(X) <=> cTOP(X)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(378,plain,
% 0.20/0.51      (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[377])).
% 0.20/0.51  tff(379,plain,
% 0.20/0.51      (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(380,axiom,(![X: $i] : (cC40(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_122')).
% 0.20/0.51  tff(381,plain,
% 0.20/0.51      (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[380, 379])).
% 0.20/0.51  tff(382,plain,(
% 0.20/0.51      ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.51      inference(skolemize,[status(sab)],[381])).
% 0.20/0.51  tff(383,plain,
% 0.20/0.51      (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[382, 378])).
% 0.20/0.51  tff(384,plain,
% 0.20/0.51      ((~![X: $i] : (cC40(X) <=> cTOP(X))) | (cC40(iV21026) <=> cTOP(iV21026))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(385,plain,
% 0.20/0.51      (cC40(iV21026) <=> cTOP(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[384, 383])).
% 0.20/0.51  tff(386,plain,
% 0.20/0.51      ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026) | (~cTOP(iV21026))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(387,plain,
% 0.20/0.51      ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[386, 371])).
% 0.20/0.51  tff(388,plain,
% 0.20/0.51      (cC40(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[387, 385])).
% 0.20/0.51  tff(389,plain,
% 0.20/0.51      ((~((~cC40(iV21026)) | (~cC38(iV21026)))) | (~cC40(iV21026)) | (~cC38(iV21026))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(390,plain,
% 0.20/0.51      (~((~cC40(iV21026)) | (~cC38(iV21026)))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[389, 388, 376])).
% 0.20/0.51  tff(391,plain,
% 0.20/0.51      ((((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)) | ((~cC40(iV21026)) | (~cC38(iV21026))) | cC42(iV21026)),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(392,plain,
% 0.20/0.51      ((((~cC40(iV21026)) | (~cC38(iV21026))) <=> cC42(iV21026)) | cC42(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[391, 390])).
% 0.20/0.51  tff(393,plain,
% 0.20/0.51      (cC42(iV21026)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[392, 333])).
% 0.20/0.52  tff(394,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(395,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> ![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[394])).
% 0.20/0.52  tff(396,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC56(X) & cTOP(X)) <=> (~((~cC56(X)) | (~cTOP(X))))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))))), rewrite((cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))))), rewrite((~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))), ((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(397,plain,
% 0.20/0.52      (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[396])).
% 0.20/0.52  tff(398,plain,
% 0.20/0.52      (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(399,axiom,(![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_143')).
% 0.20/0.52  tff(400,plain,
% 0.20/0.52      (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[399, 398])).
% 0.20/0.52  tff(401,plain,(
% 0.20/0.52      ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[400])).
% 0.20/0.52  tff(402,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[401, 397])).
% 0.20/0.52  tff(403,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[402, 395])).
% 0.20/0.52  tff(404,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC56(X)) | (~cTOP(X))) <=> cC58(X)))) | (~(((~cC56(iV21026)) | (~cTOP(iV21026))) <=> cC58(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(405,plain,
% 0.20/0.52      (~(((~cC56(iV21026)) | (~cTOP(iV21026))) <=> cC58(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[404, 403])).
% 0.20/0.52  tff(406,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X))) <=> (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(407,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X))) <=> ![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[406])).
% 0.20/0.52  tff(408,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC48xcomp(X) & cC54xcomp(X)) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))), ((cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))))), rewrite((cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))) <=> (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))), ((cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X))))), rewrite((~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X))) <=> (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))), ((cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(409,plain,
% 0.20/0.52      (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> ![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[408])).
% 0.20/0.52  tff(410,plain,
% 0.20/0.52      (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> ![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(411,axiom,(![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_142')).
% 0.20/0.52  tff(412,plain,
% 0.20/0.52      (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[411, 410])).
% 0.20/0.52  tff(413,plain,(
% 0.20/0.52      ![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[412])).
% 0.20/0.52  tff(414,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[413, 409])).
% 0.20/0.52  tff(415,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[414, 407])).
% 0.20/0.52  tff(416,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC48xcomp(X)) | (~cC54xcomp(X))) <=> cC56(X)))) | (~(((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))) <=> cC56(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(417,plain,
% 0.20/0.52      (~(((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))) <=> cC56(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[416, 415])).
% 0.20/0.52  tff(418,plain,
% 0.20/0.52      (cC48xcomp(iV21026) <=> cC48xcomp(iV21026)),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(419,axiom,(cC48xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_217')).
% 0.20/0.52  tff(420,plain,
% 0.20/0.52      (cC48xcomp(iV21026)),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[419, 418])).
% 0.20/0.52  tff(421,plain,
% 0.20/0.52      (cC54xcomp(iV21026) <=> cC54xcomp(iV21026)),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(422,axiom,(cC54xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_209')).
% 0.20/0.52  tff(423,plain,
% 0.20/0.52      (cC54xcomp(iV21026)),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[422, 421])).
% 0.20/0.52  tff(424,plain,
% 0.20/0.52      ((~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))) | (~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(425,plain,
% 0.20/0.52      (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[424, 423, 420])).
% 0.20/0.52  tff(426,plain,
% 0.20/0.52      ((((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))) <=> cC56(iV21026)) | ((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))) | cC56(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(427,plain,
% 0.20/0.52      ((((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))) <=> cC56(iV21026)) | cC56(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[426, 425])).
% 0.20/0.52  tff(428,plain,
% 0.20/0.52      (cC56(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[427, 417])).
% 0.20/0.52  tff(429,plain,
% 0.20/0.52      ((~((~cC56(iV21026)) | (~cTOP(iV21026)))) | (~cC56(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(430,plain,
% 0.20/0.52      ((~((~cC56(iV21026)) | (~cTOP(iV21026)))) | (~cC56(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[429, 371])).
% 0.20/0.52  tff(431,plain,
% 0.20/0.52      (~((~cC56(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[430, 428])).
% 0.20/0.52  tff(432,plain,
% 0.20/0.52      ((((~cC56(iV21026)) | (~cTOP(iV21026))) <=> cC58(iV21026)) | ((~cC56(iV21026)) | (~cTOP(iV21026))) | cC58(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(433,plain,
% 0.20/0.52      (cC58(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[432, 431, 405])).
% 0.20/0.52  tff(434,plain,
% 0.20/0.52      ((~((~cC58(iV21026)) | (~cC42(iV21026)))) | (~cC58(iV21026)) | (~cC42(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(435,plain,
% 0.20/0.52      ((~((~cC58(iV21026)) | (~cC42(iV21026)))) | (~cC42(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[434, 433])).
% 0.20/0.52  tff(436,plain,
% 0.20/0.52      (~((~cC58(iV21026)) | (~cC42(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[435, 393])).
% 0.20/0.52  tff(437,plain,
% 0.20/0.52      ((((~cC58(iV21026)) | (~cC42(iV21026))) <=> cC60(iV21026)) | ((~cC58(iV21026)) | (~cC42(iV21026))) | cC60(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(438,plain,
% 0.20/0.52      (cC60(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[437, 436, 321])).
% 0.20/0.52  tff(439,plain,
% 0.20/0.52      (^[X: $i] : refl((cC62(X) <=> cTOP(X)) <=> (cC62(X) <=> cTOP(X)))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(440,plain,
% 0.20/0.52      (![X: $i] : (cC62(X) <=> cTOP(X)) <=> ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[439])).
% 0.20/0.52  tff(441,plain,
% 0.20/0.52      (![X: $i] : (cC62(X) <=> cTOP(X)) <=> ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(442,axiom,(![X: $i] : (cC62(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_147')).
% 0.20/0.52  tff(443,plain,
% 0.20/0.52      (![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[442, 441])).
% 0.20/0.52  tff(444,plain,(
% 0.20/0.52      ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.20/0.52      inference(skolemize,[status(sab)],[443])).
% 0.20/0.52  tff(445,plain,
% 0.20/0.52      (![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[444, 440])).
% 0.20/0.52  tff(446,plain,
% 0.20/0.52      ((~![X: $i] : (cC62(X) <=> cTOP(X))) | (cC62(iV21026) <=> cTOP(iV21026))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(447,plain,
% 0.20/0.52      (cC62(iV21026) <=> cTOP(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[446, 445])).
% 0.20/0.52  tff(448,plain,
% 0.20/0.52      ((~(cC62(iV21026) <=> cTOP(iV21026))) | cC62(iV21026) | (~cTOP(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(449,plain,
% 0.20/0.52      ((~(cC62(iV21026) <=> cTOP(iV21026))) | cC62(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[448, 371])).
% 0.20/0.52  tff(450,plain,
% 0.20/0.52      (cC62(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[449, 447])).
% 0.20/0.52  tff(451,plain,
% 0.20/0.52      ((~((~cC60(iV21026)) | (~cC62(iV21026)))) | (~cC60(iV21026)) | (~cC62(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(452,plain,
% 0.20/0.52      ((~((~cC60(iV21026)) | (~cC62(iV21026)))) | (~cC60(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[451, 450])).
% 0.20/0.52  tff(453,plain,
% 0.20/0.52      (~((~cC60(iV21026)) | (~cC62(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[452, 438])).
% 0.20/0.52  tff(454,plain,
% 0.20/0.52      ((((~cC60(iV21026)) | (~cC62(iV21026))) <=> cC64(iV21026)) | ((~cC60(iV21026)) | (~cC62(iV21026))) | cC64(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(455,plain,
% 0.20/0.52      (cC64(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[454, 453, 309])).
% 0.20/0.52  tff(456,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X))) <=> (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(457,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X))) <=> ![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[456])).
% 0.20/0.52  tff(458,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC78(X) & cTOP(X)) <=> (~((~cC78(X)) | (~cTOP(X))))), ((cC80(X) <=> (cC78(X) & cTOP(X))) <=> (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))))), rewrite((cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))) <=> (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))), ((cC80(X) <=> (cC78(X) & cTOP(X))) <=> (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X))))), rewrite((~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X))) <=> (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))), ((cC80(X) <=> (cC78(X) & cTOP(X))) <=> (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(459,plain,
% 0.20/0.52      (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[458])).
% 0.20/0.52  tff(460,plain,
% 0.20/0.52      (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X))) <=> ![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(461,axiom,(![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_169')).
% 0.20/0.52  tff(462,plain,
% 0.20/0.52      (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[461, 460])).
% 0.20/0.52  tff(463,plain,(
% 0.20/0.52      ![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[462])).
% 0.20/0.52  tff(464,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[463, 459])).
% 0.20/0.52  tff(465,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[464, 457])).
% 0.20/0.52  tff(466,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC78(X)) | (~cTOP(X))) <=> cC80(X)))) | (~(((~cC78(iV21026)) | (~cTOP(iV21026))) <=> cC80(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(467,plain,
% 0.20/0.52      (~(((~cC78(iV21026)) | (~cTOP(iV21026))) <=> cC80(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[466, 465])).
% 0.20/0.52  tff(468,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X))) <=> (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(469,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X))) <=> ![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[468])).
% 0.20/0.52  tff(470,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC70xcomp(X) & cC76xcomp(X)) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))), ((cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))))), rewrite((cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))) <=> (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))), ((cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X))))), rewrite((~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X))) <=> (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))), ((cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(471,plain,
% 0.20/0.52      (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[470])).
% 0.20/0.52  tff(472,plain,
% 0.20/0.52      (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(473,axiom,(![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_167')).
% 0.20/0.52  tff(474,plain,
% 0.20/0.52      (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[473, 472])).
% 0.20/0.52  tff(475,plain,(
% 0.20/0.52      ![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[474])).
% 0.20/0.52  tff(476,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[475, 471])).
% 0.20/0.52  tff(477,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[476, 469])).
% 0.20/0.52  tff(478,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC70xcomp(X)) | (~cC76xcomp(X))) <=> cC78(X)))) | (~(((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))) <=> cC78(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(479,plain,
% 0.20/0.52      (~(((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))) <=> cC78(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[478, 477])).
% 0.20/0.52  tff(480,plain,
% 0.20/0.52      (cC70xcomp(iV21026) <=> cC70xcomp(iV21026)),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(481,axiom,(cC70xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_215')).
% 0.20/0.52  tff(482,plain,
% 0.20/0.52      (cC70xcomp(iV21026)),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[481, 480])).
% 0.20/0.52  tff(483,plain,
% 0.20/0.52      (cC76xcomp(iV21026) <=> cC76xcomp(iV21026)),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(484,axiom,(cC76xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_195')).
% 0.20/0.52  tff(485,plain,
% 0.20/0.52      (cC76xcomp(iV21026)),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[484, 483])).
% 0.20/0.52  tff(486,plain,
% 0.20/0.52      ((~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))) | (~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(487,plain,
% 0.20/0.52      (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[486, 485, 482])).
% 0.20/0.52  tff(488,plain,
% 0.20/0.52      ((((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))) <=> cC78(iV21026)) | ((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))) | cC78(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(489,plain,
% 0.20/0.52      ((((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))) <=> cC78(iV21026)) | cC78(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[488, 487])).
% 0.20/0.52  tff(490,plain,
% 0.20/0.52      (cC78(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[489, 479])).
% 0.20/0.52  tff(491,plain,
% 0.20/0.52      ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(492,plain,
% 0.20/0.52      ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[491, 371])).
% 0.20/0.52  tff(493,plain,
% 0.20/0.52      (~((~cC78(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[492, 490])).
% 0.20/0.52  tff(494,plain,
% 0.20/0.52      ((((~cC78(iV21026)) | (~cTOP(iV21026))) <=> cC80(iV21026)) | ((~cC78(iV21026)) | (~cTOP(iV21026))) | cC80(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(495,plain,
% 0.20/0.52      (cC80(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[494, 493, 467])).
% 0.20/0.52  tff(496,plain,
% 0.20/0.52      ((~((~cC64(iV21026)) | (~cC80(iV21026)))) | (~cC64(iV21026)) | (~cC80(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(497,plain,
% 0.20/0.52      ((~((~cC64(iV21026)) | (~cC80(iV21026)))) | (~cC64(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[496, 495])).
% 0.20/0.52  tff(498,plain,
% 0.20/0.52      (~((~cC64(iV21026)) | (~cC80(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[497, 455])).
% 0.20/0.52  tff(499,plain,
% 0.20/0.52      ((((~cC64(iV21026)) | (~cC80(iV21026))) <=> cC82(iV21026)) | ((~cC64(iV21026)) | (~cC80(iV21026))) | cC82(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(500,plain,
% 0.20/0.52      (cC82(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[499, 498, 297])).
% 0.20/0.52  tff(501,plain,
% 0.20/0.52      (^[X: $i] : refl((cC84(X) <=> cTOP(X)) <=> (cC84(X) <=> cTOP(X)))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(502,plain,
% 0.20/0.52      (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[501])).
% 0.20/0.52  tff(503,plain,
% 0.20/0.52      (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(504,axiom,(![X: $i] : (cC84(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_171')).
% 0.20/0.52  tff(505,plain,
% 0.20/0.52      (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[504, 503])).
% 0.20/0.52  tff(506,plain,(
% 0.20/0.52      ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.52      inference(skolemize,[status(sab)],[505])).
% 0.20/0.52  tff(507,plain,
% 0.20/0.52      (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[506, 502])).
% 0.20/0.52  tff(508,plain,
% 0.20/0.52      ((~![X: $i] : (cC84(X) <=> cTOP(X))) | (cC84(iV21026) <=> cTOP(iV21026))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(509,plain,
% 0.20/0.52      (cC84(iV21026) <=> cTOP(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[508, 507])).
% 0.20/0.52  tff(510,plain,
% 0.20/0.52      ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026) | (~cTOP(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(511,plain,
% 0.20/0.52      ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[510, 371])).
% 0.20/0.52  tff(512,plain,
% 0.20/0.52      (cC84(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[511, 509])).
% 0.20/0.52  tff(513,plain,
% 0.20/0.52      ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026)) | (~cC84(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(514,plain,
% 0.20/0.52      ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[513, 512])).
% 0.20/0.52  tff(515,plain,
% 0.20/0.52      (~((~cC82(iV21026)) | (~cC84(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[514, 500])).
% 0.20/0.52  tff(516,plain,
% 0.20/0.52      ((((~cC82(iV21026)) | (~cC84(iV21026))) <=> cC86(iV21026)) | ((~cC82(iV21026)) | (~cC84(iV21026))) | cC86(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(517,plain,
% 0.20/0.52      (cC86(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[516, 515, 285])).
% 0.20/0.52  tff(518,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC22(X)) | (~cC156(X))) <=> cC158(X))) <=> (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(519,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X))) <=> ![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[518])).
% 0.20/0.52  tff(520,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC22(X) & cC156(X)) <=> (~((~cC22(X)) | (~cC156(X))))), ((cC158(X) <=> (cC22(X) & cC156(X))) <=> (cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))))), rewrite((cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))) <=> (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))), ((cC158(X) <=> (cC22(X) & cC156(X))) <=> (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X))))), rewrite((~(((~cC22(X)) | (~cC156(X))) <=> cC158(X))) <=> (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))), ((cC158(X) <=> (cC22(X) & cC156(X))) <=> (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(521,plain,
% 0.20/0.52      (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X))) <=> ![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[520])).
% 0.20/0.52  tff(522,plain,
% 0.20/0.52      (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X))) <=> ![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(523,axiom,(![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_66')).
% 0.20/0.52  tff(524,plain,
% 0.20/0.52      (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[523, 522])).
% 0.20/0.52  tff(525,plain,(
% 0.20/0.52      ![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[524])).
% 0.20/0.52  tff(526,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[525, 521])).
% 0.20/0.52  tff(527,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[526, 519])).
% 0.20/0.52  tff(528,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC22(X)) | (~cC156(X))) <=> cC158(X)))) | (~(((~cC22(iV21026)) | (~cC156(iV21026))) <=> cC158(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(529,plain,
% 0.20/0.52      (~(((~cC22(iV21026)) | (~cC156(iV21026))) <=> cC158(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[528, 527])).
% 0.20/0.52  tff(530,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X))) <=> (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(531,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[530])).
% 0.20/0.52  tff(532,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC158(X) & cC180(X)) <=> (~((~cC158(X)) | (~cC180(X))))), ((cTEST(X) <=> (cC158(X) & cC180(X))) <=> (cTEST(X) <=> (~((~cC158(X)) | (~cC180(X))))))), rewrite((cTEST(X) <=> (~((~cC158(X)) | (~cC180(X))))) <=> (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC158(X) & cC180(X))) <=> (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X))))), rewrite((~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X))) <=> (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC158(X) & cC180(X))) <=> (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(533,plain,
% 0.20/0.52      (![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X))) <=> ![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[532])).
% 0.20/0.52  tff(534,plain,
% 0.20/0.52      (![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X))) <=> ![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(535,axiom,(![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_186')).
% 0.20/0.52  tff(536,plain,
% 0.20/0.52      (![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[535, 534])).
% 0.20/0.52  tff(537,plain,(
% 0.20/0.52      ![X: $i] : (cTEST(X) <=> (cC158(X) & cC180(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[536])).
% 0.20/0.52  tff(538,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[537, 533])).
% 0.20/0.52  tff(539,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[538, 531])).
% 0.20/0.52  tff(540,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC158(X)) | (~cC180(X))) <=> cTEST(X)))) | (~(((~cC158(iV21026)) | (~cC180(iV21026))) <=> cTEST(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(541,plain,
% 0.20/0.52      (~(((~cC158(iV21026)) | (~cC180(iV21026))) <=> cTEST(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[540, 539])).
% 0.20/0.52  tff(542,plain,
% 0.20/0.52      (cTEST(iV21026) <=> cTEST(iV21026)),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(543,axiom,(cTEST(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_221')).
% 0.20/0.52  tff(544,plain,
% 0.20/0.52      (cTEST(iV21026)),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[543, 542])).
% 0.20/0.52  tff(545,plain,
% 0.20/0.52      ((((~cC158(iV21026)) | (~cC180(iV21026))) <=> cTEST(iV21026)) | (~((~cC158(iV21026)) | (~cC180(iV21026)))) | (~cTEST(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(546,plain,
% 0.20/0.52      ((((~cC158(iV21026)) | (~cC180(iV21026))) <=> cTEST(iV21026)) | (~((~cC158(iV21026)) | (~cC180(iV21026))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[545, 544])).
% 0.20/0.52  tff(547,plain,
% 0.20/0.52      (~((~cC158(iV21026)) | (~cC180(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[546, 541])).
% 0.20/0.52  tff(548,plain,
% 0.20/0.52      (((~cC158(iV21026)) | (~cC180(iV21026))) | cC158(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(549,plain,
% 0.20/0.52      (cC158(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[548, 547])).
% 0.20/0.52  tff(550,plain,
% 0.20/0.52      ((((~cC22(iV21026)) | (~cC156(iV21026))) <=> cC158(iV21026)) | (~((~cC22(iV21026)) | (~cC156(iV21026)))) | (~cC158(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(551,plain,
% 0.20/0.52      ((((~cC22(iV21026)) | (~cC156(iV21026))) <=> cC158(iV21026)) | (~((~cC22(iV21026)) | (~cC156(iV21026))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[550, 549])).
% 0.20/0.52  tff(552,plain,
% 0.20/0.52      (~((~cC22(iV21026)) | (~cC156(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[551, 529])).
% 0.20/0.52  tff(553,plain,
% 0.20/0.52      (((~cC22(iV21026)) | (~cC156(iV21026))) | cC156(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(554,plain,
% 0.20/0.52      (cC156(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[553, 552])).
% 0.20/0.52  tff(555,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(556,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))) <=> ![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[555])).
% 0.20/0.52  tff(557,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC136(X) & cC134(X)) <=> (~((~cC136(X)) | (~cC134(X))))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))))), rewrite((cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))))), rewrite((~(((~cC136(X)) | (~cC134(X))) <=> cC138(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))), ((cC138(X) <=> (cC136(X) & cC134(X))) <=> (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(558,plain,
% 0.20/0.52      (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[557])).
% 0.20/0.52  tff(559,plain,
% 0.20/0.52      (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(560,axiom,(![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_43')).
% 0.20/0.52  tff(561,plain,
% 0.20/0.52      (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[560, 559])).
% 0.20/0.52  tff(562,plain,(
% 0.20/0.52      ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[561])).
% 0.20/0.52  tff(563,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[562, 558])).
% 0.20/0.52  tff(564,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[563, 556])).
% 0.20/0.52  tff(565,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC136(X)) | (~cC134(X))) <=> cC138(X)))) | (~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(566,plain,
% 0.20/0.52      (~(((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[565, 564])).
% 0.20/0.52  tff(567,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC154(X)) | (~cC138(X))) <=> cC156(X))) <=> (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(568,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X))) <=> ![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[567])).
% 0.20/0.52  tff(569,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC154(X) & cC138(X)) <=> (~((~cC154(X)) | (~cC138(X))))), ((cC156(X) <=> (cC154(X) & cC138(X))) <=> (cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))))), rewrite((cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))) <=> (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))), ((cC156(X) <=> (cC154(X) & cC138(X))) <=> (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X))))), rewrite((~(((~cC154(X)) | (~cC138(X))) <=> cC156(X))) <=> (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))), ((cC156(X) <=> (cC154(X) & cC138(X))) <=> (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(570,plain,
% 0.20/0.52      (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X))) <=> ![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[569])).
% 0.20/0.52  tff(571,plain,
% 0.20/0.52      (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X))) <=> ![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(572,axiom,(![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_65')).
% 0.20/0.52  tff(573,plain,
% 0.20/0.52      (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[572, 571])).
% 0.20/0.52  tff(574,plain,(
% 0.20/0.52      ![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[573])).
% 0.20/0.52  tff(575,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[574, 570])).
% 0.20/0.52  tff(576,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[575, 568])).
% 0.20/0.52  tff(577,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC154(X)) | (~cC138(X))) <=> cC156(X)))) | (~(((~cC154(iV21026)) | (~cC138(iV21026))) <=> cC156(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(578,plain,
% 0.20/0.52      (~(((~cC154(iV21026)) | (~cC138(iV21026))) <=> cC156(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[577, 576])).
% 0.20/0.52  tff(579,plain,
% 0.20/0.52      ((((~cC154(iV21026)) | (~cC138(iV21026))) <=> cC156(iV21026)) | (~((~cC154(iV21026)) | (~cC138(iV21026)))) | (~cC156(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(580,plain,
% 0.20/0.52      (~((~cC154(iV21026)) | (~cC138(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[579, 554, 578])).
% 0.20/0.52  tff(581,plain,
% 0.20/0.52      (((~cC154(iV21026)) | (~cC138(iV21026))) | cC138(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(582,plain,
% 0.20/0.52      (cC138(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[581, 580])).
% 0.20/0.52  tff(583,plain,
% 0.20/0.52      ((((~cC136(iV21026)) | (~cC134(iV21026))) <=> cC138(iV21026)) | (~((~cC136(iV21026)) | (~cC134(iV21026)))) | (~cC138(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(584,plain,
% 0.20/0.52      (~((~cC136(iV21026)) | (~cC134(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[583, 582, 566])).
% 0.20/0.52  tff(585,plain,
% 0.20/0.52      (((~cC136(iV21026)) | (~cC134(iV21026))) | cC134(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(586,plain,
% 0.20/0.52      (cC134(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[585, 584])).
% 0.20/0.52  tff(587,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC4(X)) | (~cC8(X))) <=> cC10(X))) <=> (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(588,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X))) <=> ![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[587])).
% 0.20/0.52  tff(589,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC8(X) & cC4(X)) <=> (~((~cC4(X)) | (~cC8(X))))), ((cC10(X) <=> (cC8(X) & cC4(X))) <=> (cC10(X) <=> (~((~cC4(X)) | (~cC8(X))))))), rewrite((cC10(X) <=> (~((~cC4(X)) | (~cC8(X))))) <=> (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))), ((cC10(X) <=> (cC8(X) & cC4(X))) <=> (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X))))), rewrite((~(((~cC4(X)) | (~cC8(X))) <=> cC10(X))) <=> (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))), ((cC10(X) <=> (cC8(X) & cC4(X))) <=> (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(590,plain,
% 0.20/0.52      (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X))) <=> ![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[589])).
% 0.20/0.52  tff(591,plain,
% 0.20/0.52      (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X))) <=> ![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(592,axiom,(![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.52  tff(593,plain,
% 0.20/0.52      (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[592, 591])).
% 0.20/0.52  tff(594,plain,(
% 0.20/0.52      ![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[593])).
% 0.20/0.52  tff(595,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[594, 590])).
% 0.20/0.52  tff(596,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[595, 588])).
% 0.20/0.52  tff(597,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC4(X)) | (~cC8(X))) <=> cC10(X)))) | (~(((~cC4(iV21026)) | (~cC8(iV21026))) <=> cC10(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(598,plain,
% 0.20/0.52      (~(((~cC4(iV21026)) | (~cC8(iV21026))) <=> cC10(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[597, 596])).
% 0.20/0.52  tff(599,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC10(X)) | (~cC14(X))) <=> cC16(X))) <=> (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(600,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X))) <=> ![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[599])).
% 0.20/0.52  tff(601,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC10(X) & cC14(X)) <=> (~((~cC10(X)) | (~cC14(X))))), ((cC16(X) <=> (cC10(X) & cC14(X))) <=> (cC16(X) <=> (~((~cC10(X)) | (~cC14(X))))))), rewrite((cC16(X) <=> (~((~cC10(X)) | (~cC14(X))))) <=> (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))), ((cC16(X) <=> (cC10(X) & cC14(X))) <=> (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X))))), rewrite((~(((~cC10(X)) | (~cC14(X))) <=> cC16(X))) <=> (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))), ((cC16(X) <=> (cC10(X) & cC14(X))) <=> (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(602,plain,
% 0.20/0.52      (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X))) <=> ![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[601])).
% 0.20/0.52  tff(603,plain,
% 0.20/0.52      (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X))) <=> ![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(604,axiom,(![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_67')).
% 0.20/0.52  tff(605,plain,
% 0.20/0.52      (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[604, 603])).
% 0.20/0.52  tff(606,plain,(
% 0.20/0.52      ![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[605])).
% 0.20/0.52  tff(607,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[606, 602])).
% 0.20/0.52  tff(608,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[607, 600])).
% 0.20/0.52  tff(609,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC10(X)) | (~cC14(X))) <=> cC16(X)))) | (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(610,plain,
% 0.20/0.52      (~(((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[609, 608])).
% 0.20/0.52  tff(611,plain,
% 0.20/0.52      (^[X: $i] : refl((~(((~cC20(X)) | (~cC16(X))) <=> cC22(X))) <=> (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(612,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X))) <=> ![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[611])).
% 0.20/0.52  tff(613,plain,
% 0.20/0.52      (^[X: $i] : trans(trans(monotonicity(rewrite((cC20(X) & cC16(X)) <=> (~((~cC20(X)) | (~cC16(X))))), ((cC22(X) <=> (cC20(X) & cC16(X))) <=> (cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))))), rewrite((cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))) <=> (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))), ((cC22(X) <=> (cC20(X) & cC16(X))) <=> (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X))))), rewrite((~(((~cC20(X)) | (~cC16(X))) <=> cC22(X))) <=> (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))), ((cC22(X) <=> (cC20(X) & cC16(X))) <=> (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(614,plain,
% 0.20/0.52      (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X))) <=> ![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[613])).
% 0.20/0.52  tff(615,plain,
% 0.20/0.52      (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X))) <=> ![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(616,axiom,(![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_100')).
% 0.20/0.52  tff(617,plain,
% 0.20/0.52      (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[616, 615])).
% 0.20/0.52  tff(618,plain,(
% 0.20/0.52      ![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.20/0.52      inference(skolemize,[status(sab)],[617])).
% 0.20/0.52  tff(619,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[618, 614])).
% 0.20/0.52  tff(620,plain,
% 0.20/0.52      (![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[619, 612])).
% 0.20/0.52  tff(621,plain,
% 0.20/0.52      (((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)))) <=> ((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(622,plain,
% 0.20/0.52      ((~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))) <=> (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(623,plain,
% 0.20/0.52      ((((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026)) <=> (((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(624,plain,
% 0.20/0.52      ((~(((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026))) <=> (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)))),
% 0.20/0.52      inference(monotonicity,[status(thm)],[623])).
% 0.20/0.52  tff(625,plain,
% 0.20/0.52      ((~(((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026))) <=> (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)))),
% 0.20/0.52      inference(transitivity,[status(thm)],[624, 622])).
% 0.20/0.52  tff(626,plain,
% 0.20/0.52      (((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026)))) <=> ((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))))),
% 0.20/0.52      inference(monotonicity,[status(thm)],[625])).
% 0.20/0.52  tff(627,plain,
% 0.20/0.52      (((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026)))) <=> ((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))))),
% 0.20/0.52      inference(transitivity,[status(thm)],[626, 621])).
% 0.20/0.52  tff(628,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC20(iV21026)) | (~cC16(iV21026))) <=> cC22(iV21026)))),
% 0.20/0.52      inference(quant_inst,[status(thm)],[])).
% 0.20/0.52  tff(629,plain,
% 0.20/0.52      ((~![X: $i] : (~(((~cC20(X)) | (~cC16(X))) <=> cC22(X)))) | (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)))),
% 0.20/0.52      inference(modus_ponens,[status(thm)],[628, 627])).
% 0.20/0.52  tff(630,plain,
% 0.20/0.52      (~(((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[629, 620])).
% 0.20/0.52  tff(631,plain,
% 0.20/0.52      (((~cC22(iV21026)) | (~cC156(iV21026))) | cC22(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(632,plain,
% 0.20/0.52      (cC22(iV21026)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[631, 552])).
% 0.20/0.52  tff(633,plain,
% 0.20/0.52      ((((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)) | (~((~cC16(iV21026)) | (~cC20(iV21026)))) | (~cC22(iV21026))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(634,plain,
% 0.20/0.52      ((((~cC16(iV21026)) | (~cC20(iV21026))) <=> cC22(iV21026)) | (~((~cC16(iV21026)) | (~cC20(iV21026))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[633, 632])).
% 0.20/0.52  tff(635,plain,
% 0.20/0.52      (~((~cC16(iV21026)) | (~cC20(iV21026)))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[634, 630])).
% 0.20/0.52  tff(636,plain,
% 0.20/0.52      (((~cC16(iV21026)) | (~cC20(iV21026))) | cC16(iV21026)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(637,plain,
% 0.20/0.53      (cC16(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[636, 635])).
% 0.20/0.53  tff(638,plain,
% 0.20/0.53      ((((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)) | (~((~cC10(iV21026)) | (~cC14(iV21026)))) | (~cC16(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(639,plain,
% 0.20/0.53      ((((~cC10(iV21026)) | (~cC14(iV21026))) <=> cC16(iV21026)) | (~((~cC10(iV21026)) | (~cC14(iV21026))))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[638, 637])).
% 0.20/0.53  tff(640,plain,
% 0.20/0.53      (~((~cC10(iV21026)) | (~cC14(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[639, 610])).
% 0.20/0.53  tff(641,plain,
% 0.20/0.53      (((~cC10(iV21026)) | (~cC14(iV21026))) | cC10(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(642,plain,
% 0.20/0.53      (cC10(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[641, 640])).
% 0.20/0.53  tff(643,plain,
% 0.20/0.53      ((((~cC4(iV21026)) | (~cC8(iV21026))) <=> cC10(iV21026)) | (~((~cC4(iV21026)) | (~cC8(iV21026)))) | (~cC10(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(644,plain,
% 0.20/0.53      ((((~cC4(iV21026)) | (~cC8(iV21026))) <=> cC10(iV21026)) | (~((~cC4(iV21026)) | (~cC8(iV21026))))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[643, 642])).
% 0.20/0.53  tff(645,plain,
% 0.20/0.53      (~((~cC4(iV21026)) | (~cC8(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[644, 598])).
% 0.20/0.53  tff(646,plain,
% 0.20/0.53      (((~cC4(iV21026)) | (~cC8(iV21026))) | cC4(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(647,plain,
% 0.20/0.53      (cC4(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[646, 645])).
% 0.20/0.53  tff(648,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X))) <=> (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(649,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X))) <=> ![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[648])).
% 0.20/0.53  tff(650,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC162xcomp(X) & cC166xcomp(X)) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))), ((cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))))), rewrite((cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))) <=> (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))), ((cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X))))), rewrite((~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X))) <=> (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))), ((cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(651,plain,
% 0.20/0.53      (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> ![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[650])).
% 0.20/0.53  tff(652,plain,
% 0.20/0.53      (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> ![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(653,axiom,(![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_80')).
% 0.20/0.53  tff(654,plain,
% 0.20/0.53      (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[653, 652])).
% 0.20/0.53  tff(655,plain,(
% 0.20/0.53      ![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[654])).
% 0.20/0.53  tff(656,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[655, 651])).
% 0.20/0.53  tff(657,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[656, 649])).
% 0.20/0.53  tff(658,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC162xcomp(X)) | (~cC166xcomp(X))) <=> cC168(X)))) | (~(((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))) <=> cC168(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(659,plain,
% 0.20/0.53      (~(((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))) <=> cC168(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[658, 657])).
% 0.20/0.53  tff(660,plain,
% 0.20/0.53      (cC162xcomp(iV21026) <=> cC162xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(661,axiom,(cC162xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_213')).
% 0.20/0.53  tff(662,plain,
% 0.20/0.53      (cC162xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[661, 660])).
% 0.20/0.53  tff(663,plain,
% 0.20/0.53      (cC166xcomp(iV21026) <=> cC166xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(664,axiom,(cC166xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_198')).
% 0.20/0.53  tff(665,plain,
% 0.20/0.53      (cC166xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[664, 663])).
% 0.20/0.53  tff(666,plain,
% 0.20/0.53      ((~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))) | (~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(667,plain,
% 0.20/0.53      (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[666, 665, 662])).
% 0.20/0.53  tff(668,plain,
% 0.20/0.53      ((((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))) <=> cC168(iV21026)) | ((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))) | cC168(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(669,plain,
% 0.20/0.53      ((((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))) <=> cC168(iV21026)) | cC168(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[668, 667])).
% 0.20/0.53  tff(670,plain,
% 0.20/0.53      (cC168(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[669, 659])).
% 0.20/0.53  tff(671,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X))) <=> (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(672,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X))) <=> ![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[671])).
% 0.20/0.53  tff(673,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC128xcomp(X) & cC122xcomp(X)) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))), ((cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))))), rewrite((cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))) <=> (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))), ((cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X))))), rewrite((~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X))) <=> (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))), ((cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(674,plain,
% 0.20/0.53      (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> ![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[673])).
% 0.20/0.53  tff(675,plain,
% 0.20/0.53      (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> ![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(676,axiom,(![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_39')).
% 0.20/0.53  tff(677,plain,
% 0.20/0.53      (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[676, 675])).
% 0.20/0.53  tff(678,plain,(
% 0.20/0.53      ![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[677])).
% 0.20/0.53  tff(679,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[678, 674])).
% 0.20/0.53  tff(680,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[679, 672])).
% 0.20/0.53  tff(681,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC122xcomp(X)) | (~cC128xcomp(X))) <=> cC130(X)))) | (~(((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))) <=> cC130(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(682,plain,
% 0.20/0.53      (~(((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))) <=> cC130(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[681, 680])).
% 0.20/0.53  tff(683,plain,
% 0.20/0.53      (cC122xcomp(iV21026) <=> cC122xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(684,axiom,(cC122xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_210')).
% 0.20/0.53  tff(685,plain,
% 0.20/0.53      (cC122xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[684, 683])).
% 0.20/0.53  tff(686,plain,
% 0.20/0.53      (cC128xcomp(iV21026) <=> cC128xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(687,axiom,(cC128xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_197')).
% 0.20/0.53  tff(688,plain,
% 0.20/0.53      (cC128xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[687, 686])).
% 0.20/0.53  tff(689,plain,
% 0.20/0.53      ((~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))) | (~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(690,plain,
% 0.20/0.53      (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[689, 688, 685])).
% 0.20/0.53  tff(691,plain,
% 0.20/0.53      ((((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))) <=> cC130(iV21026)) | ((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))) | cC130(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(692,plain,
% 0.20/0.53      ((((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))) <=> cC130(iV21026)) | cC130(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[691, 690])).
% 0.20/0.53  tff(693,plain,
% 0.20/0.53      (cC130(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[692, 682])).
% 0.20/0.53  tff(694,plain,
% 0.20/0.53      (^[X: $i] : refl((cC88(X) <=> cTOP(X)) <=> (cC88(X) <=> cTOP(X)))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(695,plain,
% 0.20/0.53      (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[694])).
% 0.20/0.53  tff(696,plain,
% 0.20/0.53      (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(697,axiom,(![X: $i] : (cC88(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_173')).
% 0.20/0.53  tff(698,plain,
% 0.20/0.53      (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[697, 696])).
% 0.20/0.53  tff(699,plain,(
% 0.20/0.53      ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.53      inference(skolemize,[status(sab)],[698])).
% 0.20/0.53  tff(700,plain,
% 0.20/0.53      (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[699, 695])).
% 0.20/0.53  tff(701,plain,
% 0.20/0.53      ((~![X: $i] : (cC88(X) <=> cTOP(X))) | (cC88(iV21026) <=> cTOP(iV21026))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(702,plain,
% 0.20/0.53      (cC88(iV21026) <=> cTOP(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[701, 700])).
% 0.20/0.53  tff(703,plain,
% 0.20/0.53      ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026) | (~cTOP(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(704,plain,
% 0.20/0.53      ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[703, 371])).
% 0.20/0.53  tff(705,plain,
% 0.20/0.53      (cC88(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[704, 702])).
% 0.20/0.53  tff(706,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X))) <=> (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(707,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X))) <=> ![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[706])).
% 0.20/0.53  tff(708,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC144xcomp(X) & cC150xcomp(X)) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))), ((cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))))), rewrite((cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))) <=> (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))), ((cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X))))), rewrite((~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X))) <=> (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))), ((cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(709,plain,
% 0.20/0.53      (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> ![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[708])).
% 0.20/0.53  tff(710,plain,
% 0.20/0.53      (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> ![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(711,axiom,(![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_63')).
% 0.20/0.53  tff(712,plain,
% 0.20/0.53      (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[711, 710])).
% 0.20/0.53  tff(713,plain,(
% 0.20/0.53      ![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[712])).
% 0.20/0.53  tff(714,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[713, 709])).
% 0.20/0.53  tff(715,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[714, 707])).
% 0.20/0.53  tff(716,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC144xcomp(X)) | (~cC150xcomp(X))) <=> cC152(X)))) | (~(((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))) <=> cC152(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(717,plain,
% 0.20/0.53      (~(((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))) <=> cC152(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[716, 715])).
% 0.20/0.53  tff(718,plain,
% 0.20/0.53      (cC144xcomp(iV21026) <=> cC144xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(719,axiom,(cC144xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_204')).
% 0.20/0.53  tff(720,plain,
% 0.20/0.53      (cC144xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[719, 718])).
% 0.20/0.53  tff(721,plain,
% 0.20/0.53      (cC150xcomp(iV21026) <=> cC150xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(722,axiom,(cC150xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_187')).
% 0.20/0.53  tff(723,plain,
% 0.20/0.53      (cC150xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[722, 721])).
% 0.20/0.53  tff(724,plain,
% 0.20/0.53      ((~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))) | (~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(725,plain,
% 0.20/0.53      (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[724, 723, 720])).
% 0.20/0.53  tff(726,plain,
% 0.20/0.53      ((((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))) <=> cC152(iV21026)) | ((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))) | cC152(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(727,plain,
% 0.20/0.53      ((((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))) <=> cC152(iV21026)) | cC152(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[726, 725])).
% 0.20/0.53  tff(728,plain,
% 0.20/0.53      (cC152(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[727, 717])).
% 0.20/0.53  tff(729,plain,
% 0.20/0.53      (((~cC10(iV21026)) | (~cC14(iV21026))) | cC14(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(730,plain,
% 0.20/0.53      (cC14(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[729, 640])).
% 0.20/0.53  tff(731,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC116(X)) | (~cC132(X))) <=> cC134(X))) <=> (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(732,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X))) <=> ![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[731])).
% 0.20/0.53  tff(733,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC116(X) & cC132(X)) <=> (~((~cC116(X)) | (~cC132(X))))), ((cC134(X) <=> (cC116(X) & cC132(X))) <=> (cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))))), rewrite((cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))) <=> (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))), ((cC134(X) <=> (cC116(X) & cC132(X))) <=> (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X))))), rewrite((~(((~cC116(X)) | (~cC132(X))) <=> cC134(X))) <=> (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))), ((cC134(X) <=> (cC116(X) & cC132(X))) <=> (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(734,plain,
% 0.20/0.53      (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X))) <=> ![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[733])).
% 0.20/0.53  tff(735,plain,
% 0.20/0.53      (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X))) <=> ![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(736,axiom,(![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_41')).
% 0.20/0.53  tff(737,plain,
% 0.20/0.53      (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[736, 735])).
% 0.20/0.53  tff(738,plain,(
% 0.20/0.53      ![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[737])).
% 0.20/0.53  tff(739,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[738, 734])).
% 0.20/0.53  tff(740,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[739, 732])).
% 0.20/0.53  tff(741,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC116(X)) | (~cC132(X))) <=> cC134(X)))) | (~(((~cC116(iV21026)) | (~cC132(iV21026))) <=> cC134(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(742,plain,
% 0.20/0.53      (~(((~cC116(iV21026)) | (~cC132(iV21026))) <=> cC134(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[741, 740])).
% 0.20/0.53  tff(743,plain,
% 0.20/0.53      ((((~cC116(iV21026)) | (~cC132(iV21026))) <=> cC134(iV21026)) | (~((~cC116(iV21026)) | (~cC132(iV21026)))) | (~cC134(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(744,plain,
% 0.20/0.53      (~((~cC116(iV21026)) | (~cC132(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[743, 586, 742])).
% 0.20/0.53  tff(745,plain,
% 0.20/0.53      (((~cC116(iV21026)) | (~cC132(iV21026))) | cC116(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(746,plain,
% 0.20/0.53      (cC116(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[745, 744])).
% 0.20/0.53  tff(747,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(748,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[747])).
% 0.20/0.53  tff(749,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC114(X) & cC112(X)) <=> (~((~cC114(X)) | (~cC112(X))))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))))), rewrite((cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))))), rewrite((~(((~cC114(X)) | (~cC112(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC112(X))) <=> (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(750,plain,
% 0.20/0.53      (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[749])).
% 0.20/0.53  tff(751,plain,
% 0.20/0.53      (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(752,axiom,(![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_18')).
% 0.20/0.53  tff(753,plain,
% 0.20/0.53      (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[752, 751])).
% 0.20/0.53  tff(754,plain,(
% 0.20/0.53      ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[753])).
% 0.20/0.53  tff(755,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[754, 750])).
% 0.20/0.53  tff(756,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[755, 748])).
% 0.20/0.53  tff(757,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC114(X)) | (~cC112(X))) <=> cC116(X)))) | (~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(758,plain,
% 0.20/0.53      (~(((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[757, 756])).
% 0.20/0.53  tff(759,plain,
% 0.20/0.53      ((((~cC114(iV21026)) | (~cC112(iV21026))) <=> cC116(iV21026)) | (~((~cC114(iV21026)) | (~cC112(iV21026)))) | (~cC116(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(760,plain,
% 0.20/0.53      (~((~cC114(iV21026)) | (~cC112(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[759, 746, 758])).
% 0.20/0.53  tff(761,plain,
% 0.20/0.53      (((~cC114(iV21026)) | (~cC112(iV21026))) | cC112(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(762,plain,
% 0.20/0.53      (cC112(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[761, 760])).
% 0.20/0.53  tff(763,plain,
% 0.20/0.53      (((~cC4(iV21026)) | (~cC8(iV21026))) | cC8(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(764,plain,
% 0.20/0.53      (cC8(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[763, 645])).
% 0.20/0.53  tff(765,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X))) <=> (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(766,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X))) <=> ![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[765])).
% 0.20/0.53  tff(767,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC172xcomp(X) & cC168(X)) <=> (~((~cC172xcomp(X)) | (~cC168(X))))), ((cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))))), rewrite((cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))) <=> (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))), ((cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X))))), rewrite((~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X))) <=> (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))), ((cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(768,plain,
% 0.20/0.53      (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> ![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[767])).
% 0.20/0.53  tff(769,plain,
% 0.20/0.53      (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> ![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(770,axiom,(![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_87')).
% 0.20/0.53  tff(771,plain,
% 0.20/0.53      (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[770, 769])).
% 0.20/0.53  tff(772,plain,(
% 0.20/0.53      ![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[771])).
% 0.20/0.53  tff(773,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[772, 768])).
% 0.20/0.53  tff(774,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[773, 766])).
% 0.20/0.53  tff(775,plain,
% 0.20/0.53      (((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)))) <=> ((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(776,plain,
% 0.20/0.53      ((~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))) <=> (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(777,plain,
% 0.20/0.53      ((((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026)) <=> (((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(778,plain,
% 0.20/0.53      ((~(((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026))) <=> (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.53      inference(monotonicity,[status(thm)],[777])).
% 0.20/0.53  tff(779,plain,
% 0.20/0.53      ((~(((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026))) <=> (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.53      inference(transitivity,[status(thm)],[778, 776])).
% 0.20/0.53  tff(780,plain,
% 0.20/0.53      (((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026)))) <=> ((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))))),
% 0.20/0.53      inference(monotonicity,[status(thm)],[779])).
% 0.20/0.53  tff(781,plain,
% 0.20/0.53      (((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026)))) <=> ((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))))),
% 0.20/0.53      inference(transitivity,[status(thm)],[780, 775])).
% 0.20/0.53  tff(782,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC172xcomp(iV21026)) | (~cC168(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(783,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC172xcomp(X)) | (~cC168(X))) <=> cC174(X)))) | (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[782, 781])).
% 0.20/0.53  tff(784,plain,
% 0.20/0.53      (~(((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[783, 774])).
% 0.20/0.53  tff(785,plain,
% 0.20/0.53      (cC172xcomp(iV21026) <=> cC172xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(786,axiom,(cC172xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_216')).
% 0.20/0.53  tff(787,plain,
% 0.20/0.53      (cC172xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[786, 785])).
% 0.20/0.53  tff(788,plain,
% 0.20/0.53      ((~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))) | (~cC168(iV21026)) | (~cC172xcomp(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(789,plain,
% 0.20/0.53      ((~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))) | (~cC168(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[788, 787])).
% 0.20/0.53  tff(790,plain,
% 0.20/0.53      (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[789, 670])).
% 0.20/0.53  tff(791,plain,
% 0.20/0.53      ((((~cC168(iV21026)) | (~cC172xcomp(iV21026))) <=> cC174(iV21026)) | ((~cC168(iV21026)) | (~cC172xcomp(iV21026))) | cC174(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(792,plain,
% 0.20/0.53      (cC174(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[791, 790, 784])).
% 0.20/0.53  tff(793,plain,
% 0.20/0.53      (((~cC16(iV21026)) | (~cC20(iV21026))) | cC20(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(794,plain,
% 0.20/0.53      (cC20(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[793, 635])).
% 0.20/0.53  tff(795,plain,
% 0.20/0.53      (^[X: $i] : refl((cC114(X) <=> cTOP(X)) <=> (cC114(X) <=> cTOP(X)))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(796,plain,
% 0.20/0.53      (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[795])).
% 0.20/0.53  tff(797,plain,
% 0.20/0.53      (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(798,axiom,(![X: $i] : (cC114(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_17')).
% 0.20/0.53  tff(799,plain,
% 0.20/0.53      (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[798, 797])).
% 0.20/0.53  tff(800,plain,(
% 0.20/0.53      ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.53      inference(skolemize,[status(sab)],[799])).
% 0.20/0.53  tff(801,plain,
% 0.20/0.53      (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[800, 796])).
% 0.20/0.53  tff(802,plain,
% 0.20/0.53      ((~![X: $i] : (cC114(X) <=> cTOP(X))) | (cC114(iV21026) <=> cTOP(iV21026))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(803,plain,
% 0.20/0.53      (cC114(iV21026) <=> cTOP(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[802, 801])).
% 0.20/0.53  tff(804,plain,
% 0.20/0.53      ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026) | (~cTOP(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(805,plain,
% 0.20/0.53      ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[804, 371])).
% 0.20/0.53  tff(806,plain,
% 0.20/0.53      (cC114(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[805, 803])).
% 0.20/0.53  tff(807,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X))) <=> (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(808,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X))) <=> ![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[807])).
% 0.20/0.53  tff(809,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC130(X) & cTOP(X)) <=> (~((~cC130(X)) | (~cTOP(X))))), ((cC132(X) <=> (cC130(X) & cTOP(X))) <=> (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))))), rewrite((cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))) <=> (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))), ((cC132(X) <=> (cC130(X) & cTOP(X))) <=> (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X))))), rewrite((~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X))) <=> (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))), ((cC132(X) <=> (cC130(X) & cTOP(X))) <=> (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(810,plain,
% 0.20/0.53      (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[809])).
% 0.20/0.53  tff(811,plain,
% 0.20/0.53      (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X))) <=> ![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(812,axiom,(![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_40')).
% 0.20/0.53  tff(813,plain,
% 0.20/0.53      (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[812, 811])).
% 0.20/0.53  tff(814,plain,(
% 0.20/0.53      ![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[813])).
% 0.20/0.53  tff(815,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[814, 810])).
% 0.20/0.53  tff(816,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[815, 808])).
% 0.20/0.53  tff(817,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC130(X)) | (~cTOP(X))) <=> cC132(X)))) | (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(818,plain,
% 0.20/0.53      (~(((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[817, 816])).
% 0.20/0.53  tff(819,plain,
% 0.20/0.53      ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(820,plain,
% 0.20/0.53      ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[819, 371])).
% 0.20/0.53  tff(821,plain,
% 0.20/0.53      (~((~cC130(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[820, 693])).
% 0.20/0.53  tff(822,plain,
% 0.20/0.53      ((((~cC130(iV21026)) | (~cTOP(iV21026))) <=> cC132(iV21026)) | ((~cC130(iV21026)) | (~cTOP(iV21026))) | cC132(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(823,plain,
% 0.20/0.53      (cC132(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[822, 821, 818])).
% 0.20/0.53  tff(824,plain,
% 0.20/0.53      (((~cC158(iV21026)) | (~cC180(iV21026))) | cC180(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(825,plain,
% 0.20/0.53      (cC180(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[824, 547])).
% 0.20/0.53  tff(826,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X))) <=> (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(827,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X))) <=> ![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[826])).
% 0.20/0.53  tff(828,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC152(X) & cTOP(X)) <=> (~((~cC152(X)) | (~cTOP(X))))), ((cC154(X) <=> (cC152(X) & cTOP(X))) <=> (cC154(X) <=> (~((~cC152(X)) | (~cTOP(X))))))), rewrite((cC154(X) <=> (~((~cC152(X)) | (~cTOP(X))))) <=> (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))), ((cC154(X) <=> (cC152(X) & cTOP(X))) <=> (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X))))), rewrite((~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X))) <=> (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))), ((cC154(X) <=> (cC152(X) & cTOP(X))) <=> (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(829,plain,
% 0.20/0.53      (![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[828])).
% 0.20/0.53  tff(830,plain,
% 0.20/0.53      (![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X))) <=> ![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(831,axiom,(![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_64')).
% 0.20/0.53  tff(832,plain,
% 0.20/0.53      (![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[831, 830])).
% 0.20/0.53  tff(833,plain,(
% 0.20/0.53      ![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[832])).
% 0.20/0.53  tff(834,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[833, 829])).
% 0.20/0.53  tff(835,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[834, 827])).
% 0.20/0.53  tff(836,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC152(X)) | (~cTOP(X))) <=> cC154(X)))) | (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(837,plain,
% 0.20/0.53      (~(((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[836, 835])).
% 0.20/0.53  tff(838,plain,
% 0.20/0.53      ((~((~cC152(iV21026)) | (~cTOP(iV21026)))) | (~cC152(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(839,plain,
% 0.20/0.53      ((~((~cC152(iV21026)) | (~cTOP(iV21026)))) | (~cC152(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[838, 371])).
% 0.20/0.53  tff(840,plain,
% 0.20/0.53      (~((~cC152(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[839, 728])).
% 0.20/0.53  tff(841,plain,
% 0.20/0.53      ((((~cC152(iV21026)) | (~cTOP(iV21026))) <=> cC154(iV21026)) | ((~cC152(iV21026)) | (~cTOP(iV21026))) | cC154(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(842,plain,
% 0.20/0.53      (cC154(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[841, 840, 837])).
% 0.20/0.53  tff(843,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(844,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> ![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[843])).
% 0.20/0.53  tff(845,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC108(X) & cTOP(X)) <=> (~((~cC108(X)) | (~cTOP(X))))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (cC110(X) <=> (~((~cC108(X)) | (~cTOP(X))))))), rewrite((cC110(X) <=> (~((~cC108(X)) | (~cTOP(X))))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))))), rewrite((~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))), ((cC110(X) <=> (cC108(X) & cTOP(X))) <=> (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(846,plain,
% 0.20/0.53      (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[845])).
% 0.20/0.53  tff(847,plain,
% 0.20/0.53      (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X))) <=> ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(848,axiom,(![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_15')).
% 0.20/0.53  tff(849,plain,
% 0.20/0.53      (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[848, 847])).
% 0.20/0.53  tff(850,plain,(
% 0.20/0.53      ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[849])).
% 0.20/0.53  tff(851,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[850, 846])).
% 0.20/0.53  tff(852,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[851, 844])).
% 0.20/0.53  tff(853,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC108(X)) | (~cTOP(X))) <=> cC110(X)))) | (~(((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(854,plain,
% 0.20/0.53      (~(((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[853, 852])).
% 0.20/0.53  tff(855,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X))) <=> (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(856,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X))) <=> ![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[855])).
% 0.20/0.53  tff(857,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC98xcomp(X) & cC106xcomp(X)) <=> (~((~cC106xcomp(X)) | (~cC98xcomp(X))))), ((cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> (cC108(X) <=> (~((~cC106xcomp(X)) | (~cC98xcomp(X))))))), rewrite((cC108(X) <=> (~((~cC106xcomp(X)) | (~cC98xcomp(X))))) <=> (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))), ((cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X))))), rewrite((~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X))) <=> (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))), ((cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(858,plain,
% 0.20/0.53      (![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> ![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[857])).
% 0.20/0.53  tff(859,plain,
% 0.20/0.53      (![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> ![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(860,axiom,(![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_14')).
% 0.20/0.53  tff(861,plain,
% 0.20/0.53      (![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[860, 859])).
% 0.20/0.53  tff(862,plain,(
% 0.20/0.53      ![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[861])).
% 0.20/0.53  tff(863,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[862, 858])).
% 0.20/0.53  tff(864,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[863, 856])).
% 0.20/0.53  tff(865,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC106xcomp(X)) | (~cC98xcomp(X))) <=> cC108(X)))) | (~(((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))) <=> cC108(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(866,plain,
% 0.20/0.53      (~(((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))) <=> cC108(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[865, 864])).
% 0.20/0.53  tff(867,plain,
% 0.20/0.53      (cC106xcomp(iV21026) <=> cC106xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(868,axiom,(cC106xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_199')).
% 0.20/0.53  tff(869,plain,
% 0.20/0.53      (cC106xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[868, 867])).
% 0.20/0.53  tff(870,plain,
% 0.20/0.53      (cC98xcomp(iV21026) <=> cC98xcomp(iV21026)),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(871,axiom,(cC98xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_196')).
% 0.20/0.53  tff(872,plain,
% 0.20/0.53      (cC98xcomp(iV21026)),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[871, 870])).
% 0.20/0.53  tff(873,plain,
% 0.20/0.53      ((~((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026)))) | (~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(874,plain,
% 0.20/0.53      (~((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[873, 872, 869])).
% 0.20/0.53  tff(875,plain,
% 0.20/0.53      ((((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))) <=> cC108(iV21026)) | ((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))) | cC108(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(876,plain,
% 0.20/0.53      ((((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))) <=> cC108(iV21026)) | cC108(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[875, 874])).
% 0.20/0.53  tff(877,plain,
% 0.20/0.53      (cC108(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[876, 866])).
% 0.20/0.53  tff(878,plain,
% 0.20/0.53      ((~((~cC108(iV21026)) | (~cTOP(iV21026)))) | (~cC108(iV21026)) | (~cTOP(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(879,plain,
% 0.20/0.53      ((~((~cC108(iV21026)) | (~cTOP(iV21026)))) | (~cC108(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[878, 371])).
% 0.20/0.53  tff(880,plain,
% 0.20/0.53      (~((~cC108(iV21026)) | (~cTOP(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[879, 877])).
% 0.20/0.53  tff(881,plain,
% 0.20/0.53      ((((~cC108(iV21026)) | (~cTOP(iV21026))) <=> cC110(iV21026)) | ((~cC108(iV21026)) | (~cTOP(iV21026))) | cC110(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(882,plain,
% 0.20/0.53      (cC110(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[881, 880, 854])).
% 0.20/0.53  tff(883,plain,
% 0.20/0.53      (^[X: $i] : refl((~(((~cC86(X)) | (~cC88(X))) <=> cC90(X))) <=> (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(884,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X))) <=> ![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[883])).
% 0.20/0.53  tff(885,plain,
% 0.20/0.53      (^[X: $i] : trans(trans(monotonicity(rewrite((cC86(X) & cC88(X)) <=> (~((~cC86(X)) | (~cC88(X))))), ((cC90(X) <=> (cC86(X) & cC88(X))) <=> (cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))))), rewrite((cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))) <=> (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))), ((cC90(X) <=> (cC86(X) & cC88(X))) <=> (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X))))), rewrite((~(((~cC86(X)) | (~cC88(X))) <=> cC90(X))) <=> (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))), ((cC90(X) <=> (cC86(X) & cC88(X))) <=> (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(886,plain,
% 0.20/0.53      (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X))) <=> ![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[885])).
% 0.20/0.53  tff(887,plain,
% 0.20/0.53      (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X))) <=> ![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(888,axiom,(![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_174')).
% 0.20/0.53  tff(889,plain,
% 0.20/0.53      (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[888, 887])).
% 0.20/0.53  tff(890,plain,(
% 0.20/0.53      ![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.20/0.53      inference(skolemize,[status(sab)],[889])).
% 0.20/0.53  tff(891,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[890, 886])).
% 0.20/0.53  tff(892,plain,
% 0.20/0.53      (![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[891, 884])).
% 0.20/0.53  tff(893,plain,
% 0.20/0.53      ((~![X: $i] : (~(((~cC86(X)) | (~cC88(X))) <=> cC90(X)))) | (~(((~cC86(iV21026)) | (~cC88(iV21026))) <=> cC90(iV21026)))),
% 0.20/0.53      inference(quant_inst,[status(thm)],[])).
% 0.20/0.53  tff(894,plain,
% 0.20/0.53      (~(((~cC86(iV21026)) | (~cC88(iV21026))) <=> cC90(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[893, 892])).
% 0.20/0.53  tff(895,plain,
% 0.20/0.53      ((~((~cC86(iV21026)) | (~cC88(iV21026)))) | (~cC86(iV21026)) | (~cC88(iV21026))),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(896,plain,
% 0.20/0.53      ((~((~cC86(iV21026)) | (~cC88(iV21026)))) | (~cC86(iV21026))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[895, 705])).
% 0.20/0.53  tff(897,plain,
% 0.20/0.53      (~((~cC86(iV21026)) | (~cC88(iV21026)))),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[896, 517])).
% 0.20/0.53  tff(898,plain,
% 0.20/0.53      ((((~cC86(iV21026)) | (~cC88(iV21026))) <=> cC90(iV21026)) | ((~cC86(iV21026)) | (~cC88(iV21026))) | cC90(iV21026)),
% 0.20/0.53      inference(tautology,[status(thm)],[])).
% 0.20/0.53  tff(899,plain,
% 0.20/0.53      (cC90(iV21026)),
% 0.20/0.53      inference(unit_resolution,[status(thm)],[898, 897, 894])).
% 0.20/0.53  tff(900,plain,
% 0.20/0.53      (^[X: $i] : refl((cC136(X) <=> cTOP(X)) <=> (cC136(X) <=> cTOP(X)))),
% 0.20/0.53      inference(bind,[status(th)],[])).
% 0.20/0.53  tff(901,plain,
% 0.20/0.53      (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.53      inference(quant_intro,[status(thm)],[900])).
% 0.20/0.53  tff(902,plain,
% 0.20/0.53      (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(903,axiom,(![X: $i] : (cC136(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_42')).
% 0.20/0.54  tff(904,plain,
% 0.20/0.54      (![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[903, 902])).
% 0.20/0.54  tff(905,plain,(
% 0.20/0.54      ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.54      inference(skolemize,[status(sab)],[904])).
% 0.20/0.54  tff(906,plain,
% 0.20/0.54      (![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[905, 901])).
% 0.20/0.54  tff(907,plain,
% 0.20/0.54      ((~![X: $i] : (cC136(X) <=> cTOP(X))) | (cC136(iV21026) <=> cTOP(iV21026))),
% 0.20/0.54      inference(quant_inst,[status(thm)],[])).
% 0.20/0.54  tff(908,plain,
% 0.20/0.54      (cC136(iV21026) <=> cTOP(iV21026)),
% 0.20/0.54      inference(unit_resolution,[status(thm)],[907, 906])).
% 0.20/0.54  tff(909,plain,
% 0.20/0.54      ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026) | (~cTOP(iV21026))),
% 0.20/0.54      inference(tautology,[status(thm)],[])).
% 0.20/0.54  tff(910,plain,
% 0.20/0.54      ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026)),
% 0.20/0.54      inference(unit_resolution,[status(thm)],[909, 371])).
% 0.20/0.54  tff(911,plain,
% 0.20/0.54      (cC136(iV21026)),
% 0.20/0.54      inference(unit_resolution,[status(thm)],[910, 908])).
% 0.20/0.54  tff(912,plain,
% 0.20/0.54      (cowlThing(iV21030) <=> cowlThing(iV21030)),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(913,axiom,(cowlThing(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_306')).
% 0.20/0.54  tff(914,plain,
% 0.20/0.54      (cowlThing(iV21030)),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[913, 912])).
% 0.20/0.54  tff(915,plain,
% 0.20/0.54      (cowlThing(iV21029) <=> cowlThing(iV21029)),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(916,axiom,(cowlThing(iV21029)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_278')).
% 0.20/0.54  tff(917,plain,
% 0.20/0.54      (cowlThing(iV21029)),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[916, 915])).
% 0.20/0.54  tff(918,plain,
% 0.20/0.54      (cowlThing(iV21027) <=> cowlThing(iV21027)),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(919,axiom,(cowlThing(iV21027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_248')).
% 0.20/0.54  tff(920,plain,
% 0.20/0.54      (cowlThing(iV21027)),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[919, 918])).
% 0.20/0.54  tff(921,plain,
% 0.20/0.54      (cowlThing(iV21026) <=> cowlThing(iV21026)),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(922,axiom,(cowlThing(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_219')).
% 0.20/0.54  tff(923,plain,
% 0.20/0.54      (cowlThing(iV21026)),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[922, 921])).
% 0.20/0.54  tff(924,plain,
% 0.20/0.54      (((cowlNothing(X!122) | (~cowlThing(X!122))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030))) <=> (cowlNothing(X!122) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030)) | (~cowlThing(X!122)))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(925,plain,
% 0.20/0.54      ((~(~(cowlNothing(X!122) | (~cowlThing(X!122))))) <=> (cowlNothing(X!122) | (~cowlThing(X!122)))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(926,plain,
% 0.20/0.54      ((cowlThing(X!122) & (~cowlNothing(X!122))) <=> (~(cowlNothing(X!122) | (~cowlThing(X!122))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(927,plain,
% 0.20/0.54      ((~(cowlThing(X!122) & (~cowlNothing(X!122)))) <=> (~(~(cowlNothing(X!122) | (~cowlThing(X!122)))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[926])).
% 0.20/0.54  tff(928,plain,
% 0.20/0.54      ((~(cowlThing(X!122) & (~cowlNothing(X!122)))) <=> (cowlNothing(X!122) | (~cowlThing(X!122)))),
% 0.20/0.54      inference(transitivity,[status(thm)],[927, 925])).
% 0.20/0.54  tff(929,plain,
% 0.20/0.54      (((~(cowlThing(X!122) & (~cowlNothing(X!122)))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030))) <=> ((cowlNothing(X!122) | (~cowlThing(X!122))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030)))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[928])).
% 0.20/0.54  tff(930,plain,
% 0.20/0.54      (((~(cowlThing(X!122) & (~cowlNothing(X!122)))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030))) <=> (cowlNothing(X!122) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030)) | (~cowlThing(X!122)))),
% 0.20/0.54      inference(transitivity,[status(thm)],[929, 924])).
% 0.20/0.54  tff(931,plain,
% 0.20/0.54      (((~(cowlThing(X!122) & (~cowlNothing(X!122)))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030))) <=> ((~(cowlThing(X!122) & (~cowlNothing(X!122)))) | (xsd_integer(X!123) <=> xsd_string(X!123)) | (~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cowlThing(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cowlThing(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cowlThing(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)) | (~cowlThing(iV21030)))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(932,plain,
% 0.20/0.54      ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(933,plain,
% 0.20/0.54      ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[932])).
% 0.20/0.54  tff(934,plain,
% 0.20/0.54      ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(935,plain,
% 0.38/0.55      ((~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC108(iV21026)) & cC40(iV21026)) & cC136(iV21026)) & cC10(iV21026)) & cC90(iV21026)) & cowlThing(iV21026)) & cC58(iV21026)) & cC56(iV21026)) & cC158(iV21026)) & cC110(iV21026)) & cC22(iV21026)) & cC60(iV21026)) & cC154(iV21026)) & cC180(iV21026)) & cC78(iV21026)) & cC16(iV21026)) & cC132(iV21026)) & cC114(iV21026)) & cC20(iV21026)) & cC84(iV21026)) & cC38(iV21026)) & cC138(iV21026)) & cC174(iV21026)) & cC62(iV21026)) & cC8(iV21026)) & cC36(iV21026)) & cC112(iV21026)) & cC64(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC14(iV21026)) & cC152(iV21026)) & cC80(iV21026)) & cC88(iV21026)) & cC130(iV21026)) & cC168(iV21026)) & cC4(iV21026)) & cC134(iV21026)) & cC42(iV21026)) & cC156(iV21026)) & cC86(iV21026)) & cC30(iV21027)) & cowlThing(iV21027)) & cC24(iV21027)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21029)) & cC72(iV21030)) & cC66(iV21030)) & cowlThing(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)))),
% 0.38/0.55      inference(rewrite,[status(thm)],[])).
% 0.38/0.55  tff(936,axiom,(~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC108(iV21026)) & cC40(iV21026)) & cC136(iV21026)) & cC10(iV21026)) & cC90(iV21026)) & cowlThing(iV21026)) & cC58(iV21026)) & cC56(iV21026)) & cC158(iV21026)) & cC110(iV21026)) & cC22(iV21026)) & cC60(iV21026)) & cC154(iV21026)) & cC180(iV21026)) & cC78(iV21026)) & cC16(iV21026)) & cC132(iV21026)) & cC114(iV21026)) & cC20(iV21026)) & cC84(iV21026)) & cC38(iV21026)) & cC138(iV21026)) & cC174(iV21026)) & cC62(iV21026)) & cC8(iV21026)) & cC36(iV21026)) & cC112(iV21026)) & cC64(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC14(iV21026)) & cC152(iV21026)) & cC80(iV21026)) & cC88(iV21026)) & cC130(iV21026)) & cC168(iV21026)) & cC4(iV21026)) & cC134(iV21026)) & cC42(iV21026)) & cC156(iV21026)) & cC86(iV21026)) & cC30(iV21027)) & cowlThing(iV21027)) & cC24(iV21027)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21029)) & cC72(iV21030)) & cC66(iV21030)) & cowlThing(iV21030))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.38/0.55  tff(937,plain,
% 0.38/0.55      (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[936, 935])).
% 0.38/0.55  tff(938,plain,
% 0.38/0.55      (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[937, 933])).
% 0.38/0.55  tff(939,plain,
% 0.38/0.55      (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.38/0.55      inference(modus_ponens,[status(thm)],[938, 934])).
% 0.38/0.55  tff(940,plain,
% 0.38/0.55      (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.38/0.56      inference(modus_ponens,[status(thm)],[939, 933])).
% 0.38/0.56  unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.38/0.56        (a!2 (not (and (cowlThing X!122) (not (cowlNothing X!122)))))
% 0.38/0.56        (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.38/0.56        (a!5 (refl (~ (not (cC108 iV21026)) (not (cC108 iV21026)))))
% 0.38/0.56        (a!6 (refl (~ (not (cC40 iV21026)) (not (cC40 iV21026)))))
% 0.38/0.56        (a!7 (refl (~ (not (cC136 iV21026)) (not (cC136 iV21026)))))
% 0.38/0.56        (a!8 (refl (~ (not (cC10 iV21026)) (not (cC10 iV21026)))))
% 0.38/0.56        (a!9 (refl (~ (not (cC90 iV21026)) (not (cC90 iV21026)))))
% 0.38/0.56        (a!10 (refl (~ (not (cowlThing iV21026)) (not (cowlThing iV21026)))))
% 0.38/0.56        (a!11 (refl (~ (not (cC58 iV21026)) (not (cC58 iV21026)))))
% 0.38/0.56        (a!12 (refl (~ (not (cC56 iV21026)) (not (cC56 iV21026)))))
% 0.38/0.56        (a!13 (refl (~ (not (cC158 iV21026)) (not (cC158 iV21026)))))
% 0.38/0.56        (a!14 (refl (~ (not (cC110 iV21026)) (not (cC110 iV21026)))))
% 0.38/0.56        (a!15 (refl (~ (not (cC22 iV21026)) (not (cC22 iV21026)))))
% 0.38/0.56        (a!16 (refl (~ (not (cC60 iV21026)) (not (cC60 iV21026)))))
% 0.38/0.56        (a!17 (refl (~ (not (cC154 iV21026)) (not (cC154 iV21026)))))
% 0.38/0.56        (a!18 (refl (~ (not (cC180 iV21026)) (not (cC180 iV21026)))))
% 0.38/0.56        (a!19 (refl (~ (not (cC78 iV21026)) (not (cC78 iV21026)))))
% 0.38/0.56        (a!20 (refl (~ (not (cC16 iV21026)) (not (cC16 iV21026)))))
% 0.38/0.56        (a!21 (refl (~ (not (cC132 iV21026)) (not (cC132 iV21026)))))
% 0.38/0.56        (a!22 (refl (~ (not (cC114 iV21026)) (not (cC114 iV21026)))))
% 0.38/0.56        (a!23 (refl (~ (not (cC20 iV21026)) (not (cC20 iV21026)))))
% 0.38/0.56        (a!24 (refl (~ (not (cC84 iV21026)) (not (cC84 iV21026)))))
% 0.38/0.56        (a!25 (refl (~ (not (cC38 iV21026)) (not (cC38 iV21026)))))
% 0.38/0.56        (a!26 (refl (~ (not (cC138 iV21026)) (not (cC138 iV21026)))))
% 0.38/0.56        (a!27 (refl (~ (not (cC174 iV21026)) (not (cC174 iV21026)))))
% 0.38/0.56        (a!28 (refl (~ (not (cC62 iV21026)) (not (cC62 iV21026)))))
% 0.38/0.56        (a!29 (refl (~ (not (cC8 iV21026)) (not (cC8 iV21026)))))
% 0.38/0.56        (a!30 (refl (~ (not (cC36 iV21026)) (not (cC36 iV21026)))))
% 0.38/0.56        (a!31 (refl (~ (not (cC112 iV21026)) (not (cC112 iV21026)))))
% 0.38/0.56        (a!32 (refl (~ (not (cC64 iV21026)) (not (cC64 iV21026)))))
% 0.38/0.56        (a!33 (refl (~ (not (cC116 iV21026)) (not (cC116 iV21026)))))
% 0.38/0.56        (a!34 (refl (~ (not (cC82 iV21026)) (not (cC82 iV21026)))))
% 0.38/0.56        (a!35 (refl (~ (not (cC14 iV21026)) (not (cC14 iV21026)))))
% 0.38/0.56        (a!36 (refl (~ (not (cC152 iV21026)) (not (cC152 iV21026)))))
% 0.38/0.56        (a!37 (refl (~ (not (cC80 iV21026)) (not (cC80 iV21026)))))
% 0.38/0.56        (a!38 (refl (~ (not (cC88 iV21026)) (not (cC88 iV21026)))))
% 0.38/0.56        (a!39 (refl (~ (not (cC130 iV21026)) (not (cC130 iV21026)))))
% 0.38/0.56        (a!40 (refl (~ (not (cC168 iV21026)) (not (cC168 iV21026)))))
% 0.38/0.56        (a!41 (refl (~ (not (cC4 iV21026)) (not (cC4 iV21026)))))
% 0.38/0.56        (a!42 (refl (~ (not (cC134 iV21026)) (not (cC134 iV21026)))))
% 0.38/0.56        (a!43 (refl (~ (not (cC42 iV21026)) (not (cC42 iV21026)))))
% 0.38/0.56        (a!44 (refl (~ (not (cC156 iV21026)) (not (cC156 iV21026)))))
% 0.38/0.56        (a!45 (refl (~ (not (cC86 iV21026)) (not (cC86 iV21026)))))
% 0.38/0.56        (a!46 (refl (~ (not (cC30 iV21027)) (not (cC30 iV21027)))))
% 0.38/0.56        (a!47 (refl (~ (not (cowlThing iV21027)) (not (cowlThing iV21027)))))
% 0.38/0.56        (a!48 (refl (~ (not (cC24 iV21027)) (not (cC24 iV21027)))))
% 0.38/0.56        (a!49 (refl (~ (not (cC50 iV21029)) (not (cC50 iV21029)))))
% 0.38/0.56        (a!50 (refl (~ (not (cC44 iV21029)) (not (cC44 iV21029)))))
% 0.38/0.56        (a!51 (refl (~ (not (cowlThing iV21029)) (not (cowlThing iV21029)))))
% 0.38/0.56        (a!52 (refl (~ (not (cC72 iV21030)) (not (cC72 iV21030)))))
% 0.38/0.56        (a!53 (refl (~ (not (cC66 iV21030)) (not (cC66 iV21030)))))
% 0.38/0.56        (a!54 (refl (~ (not (cowlThing iV21030)) (not (cowlThing iV21030))))))
% 0.38/0.56  (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!123) (xsd_string X!123)))))
% 0.38/0.56        (a!55 (~ (not (and a!1
% 0.38/0.56                           a!3
% 0.38/0.56                           (cC108 iV21026)
% 0.38/0.56                           (cC40 iV21026)
% 0.38/0.56                           (cC136 iV21026)
% 0.38/0.56                           (cC10 iV21026)
% 0.38/0.56                           (cC90 iV21026)
% 0.38/0.56                           (cowlThing iV21026)
% 0.38/0.56                           (cC58 iV21026)
% 0.38/0.56                           (cC56 iV21026)
% 0.38/0.56                           (cC158 iV21026)
% 0.38/0.56                           (cC110 iV21026)
% 0.38/0.56                           (cC22 iV21026)
% 0.38/0.56                           (cC60 iV21026)
% 0.38/0.56                           (cC154 iV21026)
% 0.38/0.56                           (cC180 iV21026)
% 0.38/0.56                           (cC78 iV21026)
% 0.38/0.56                           (cC16 iV21026)
% 0.38/0.56                           (cC132 iV21026)
% 0.38/0.56                           (cC114 iV21026)
% 0.38/0.56                           (cC20 iV21026)
% 0.38/0.56                           (cC84 iV21026)
% 0.38/0.56                           (cC38 iV21026)
% 0.38/0.56                           (cC138 iV21026)
% 0.38/0.56                           (cC174 iV21026)
% 0.38/0.56                           (cC62 iV21026)
% 0.38/0.56                           (cC8 iV21026)
% 0.38/0.56                           (cC36 iV21026)
% 0.38/0.56                           (cC112 iV21026)
% 0.38/0.56                           (cC64 iV21026)
% 0.38/0.56                           (cC116 iV21026)
% 0.38/0.56                           (cC82 iV21026)
% 0.38/0.56                           (cC14 iV21026)
% 0.38/0.56                           (cC152 iV21026)
% 0.38/0.56                           (cC80 iV21026)
% 0.38/0.56                           (cC88 iV21026)
% 0.38/0.56                           (cC130 iV21026)
% 0.38/0.56                           (cC168 iV21026)
% 0.38/0.56                           (cC4 iV21026)
% 0.38/0.56                           (cC134 iV21026)
% 0.38/0.56                           (cC42 iV21026)
% 0.38/0.56                           (cC156 iV21026)
% 0.38/0.56                           (cC86 iV21026)
% 0.38/0.56                           (cC30 iV21027)
% 0.38/0.56                           (cowlThing iV21027)
% 0.38/0.56                           (cC24 iV21027)
% 0.38/0.56                           (cC50 iV21029)
% 0.38/0.56                           (cC44 iV21029)
% 0.38/0.56                           (cowlThing iV21029)
% 0.38/0.56                           (cC72 iV21030)
% 0.38/0.56                           (cC66 iV21030)
% 0.38/0.56                           (cowlThing iV21030)))
% 0.38/0.56                 (or a!2
% 0.38/0.56                     (= (xsd_integer X!123) (xsd_string X!123))
% 0.38/0.56                     (not (cC108 iV21026))
% 0.38/0.56                     (not (cC40 iV21026))
% 0.38/0.56                     (not (cC136 iV21026))
% 0.38/0.56                     (not (cC10 iV21026))
% 0.38/0.56                     (not (cC90 iV21026))
% 0.38/0.56                     (not (cowlThing iV21026))
% 0.38/0.56                     (not (cC58 iV21026))
% 0.38/0.56                     (not (cC56 iV21026))
% 0.38/0.56                     (not (cC158 iV21026))
% 0.38/0.56                     (not (cC110 iV21026))
% 0.38/0.56                     (not (cC22 iV21026))
% 0.38/0.56                     (not (cC60 iV21026))
% 0.38/0.56                     (not (cC154 iV21026))
% 0.38/0.56                     (not (cC180 iV21026))
% 0.38/0.56                     (not (cC78 iV21026))
% 0.38/0.56                     (not (cC16 iV21026))
% 0.38/0.56                     (not (cC132 iV21026))
% 0.38/0.56                     (not (cC114 iV21026))
% 0.38/0.56                     (not (cC20 iV21026))
% 0.38/0.56                     (not (cC84 iV21026))
% 0.38/0.56                     (not (cC38 iV21026))
% 0.38/0.56                     (not (cC138 iV21026))
% 0.38/0.56                     (not (cC174 iV21026))
% 0.38/0.56                     (not (cC62 iV21026))
% 0.38/0.56                     (not (cC8 iV21026))
% 0.38/0.56                     (not (cC36 iV21026))
% 0.38/0.56                     (not (cC112 iV21026))
% 0.38/0.56                     (not (cC64 iV21026))
% 0.38/0.56                     (not (cC116 iV21026))
% 0.38/0.56                     (not (cC82 iV21026))
% 0.38/0.56                     (not (cC14 iV21026))
% 0.38/0.56                     (not (cC152 iV21026))
% 0.38/0.56                     (not (cC80 iV21026))
% 0.38/0.56                     (not (cC88 iV21026))
% 0.38/0.56                     (not (cC130 iV21026))
% 0.38/0.56                     (not (cC168 iV21026))
% 0.38/0.56                     (not (cC4 iV21026))
% 0.38/0.56                     (not (cC134 iV21026))
% 0.38/0.56                     (not (cC42 iV21026))
% 0.38/0.56                     (not (cC156 iV21026))
% 0.38/0.56                     (not (cC86 iV21026))
% 0.38/0.56                     (not (cC30 iV21027))
% 0.38/0.56                     (not (cowlThing iV21027))
% 0.38/0.56                     (not (cC24 iV21027))
% 0.38/0.56                     (not (cC50 iV21029))
% 0.38/0.56                     (not (cC44 iV21029))
% 0.38/0.56                     (not (cowlThing iV21029))
% 0.38/0.56                     (not (cC72 iV21030))
% 0.38/0.56                     (not (cC66 iV21030))
% 0.38/0.56                     (not (cowlThing iV21030))))))
% 0.38/0.56    (nnf-neg (sk (~ (not a!1) a!2))
% 0.38/0.56             a!4
% 0.38/0.56             a!5
% 0.38/0.56             a!6
% 0.38/0.56             a!7
% 0.38/0.56             a!8
% 0.38/0.56             a!9
% 0.38/0.56             a!10
% 0.38/0.56             a!11
% 0.38/0.56             a!12
% 0.38/0.56             a!13
% 0.38/0.56             a!14
% 0.38/0.56             a!15
% 0.38/0.56             a!16
% 0.38/0.56             a!17
% 0.38/0.56             a!18
% 0.38/0.56             a!19
% 0.38/0.56             a!20
% 0.38/0.56             a!21
% 0.38/0.56             a!22
% 0.38/0.56             a!23
% 0.38/0.56             a!24
% 0.38/0.56             a!25
% 0.38/0.56             a!26
% 0.38/0.56             a!27
% 0.38/0.56             a!28
% 0.38/0.56             a!29
% 0.38/0.56             a!30
% 0.38/0.56             a!31
% 0.38/0.56             a!32
% 0.38/0.56             a!33
% 0.38/0.56             a!34
% 0.38/0.56             a!35
% 0.38/0.56             a!36
% 0.38/0.56             a!37
% 0.38/0.56             a!38
% 0.38/0.56             a!39
% 0.38/0.56             a!40
% 0.38/0.56             a!41
% 0.38/0.56             a!42
% 0.38/0.56             a!43
% 0.38/0.56             a!44
% 0.38/0.56             a!45
% 0.38/0.56             a!46
% 0.38/0.56             a!47
% 0.38/0.56             a!48
% 0.38/0.56             a!49
% 0.38/0.56             a!50
% 0.38/0.56             a!51
% 0.38/0.56             a!52
% 0.38/0.56             a!53
% 0.38/0.56             a!54
% 0.38/0.56             a!55)))
% 0.38/0.56  Proof display could not be completed: unexpected number of arguments
% 0.41/0.57  % E exiting
%------------------------------------------------------------------------------