%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS154+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:13:29 AM UTC 2025
% Result : Theorem 0.21s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS154+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n012.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 19:11:11 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 tff(xsd_string_type, type, (
% 0.21/0.43 xsd_string: $i > $o)).
% 0.21/0.43 tff(tptp_fun_X_92_type, type, (
% 0.21/0.43 tptp_fun_X_92: $i)).
% 0.21/0.43 tff(xsd_integer_type, type, (
% 0.21/0.43 xsd_integer: $i > $o)).
% 0.21/0.43 tff(cowlThing_type, type, (
% 0.21/0.43 cowlThing: $i > $o)).
% 0.21/0.43 tff(tptp_fun_X_91_type, type, (
% 0.21/0.43 tptp_fun_X_91: $i)).
% 0.21/0.43 tff(cowlNothing_type, type, (
% 0.21/0.43 cowlNothing: $i > $o)).
% 0.21/0.43 tff(cC56_type, type, (
% 0.21/0.43 cC56: $i > $o)).
% 0.21/0.43 tff(iV822576_type, type, (
% 0.21/0.43 iV822576: $i)).
% 0.21/0.43 tff(cC4_type, type, (
% 0.21/0.43 cC4: $i > $o)).
% 0.21/0.43 tff(cC10xcomp_type, type, (
% 0.21/0.43 cC10xcomp: $i > $o)).
% 0.21/0.43 tff(cC136_type, type, (
% 0.21/0.43 cC136: $i > $o)).
% 0.21/0.43 tff(cC134xcomp_type, type, (
% 0.21/0.43 cC134xcomp: $i > $o)).
% 0.21/0.43 tff(cC116_type, type, (
% 0.21/0.43 cC116: $i > $o)).
% 0.21/0.43 tff(cC80_type, type, (
% 0.21/0.43 cC80: $i > $o)).
% 0.21/0.43 tff(cC114_type, type, (
% 0.21/0.43 cC114: $i > $o)).
% 0.21/0.43 tff(cC78xcomp_type, type, (
% 0.21/0.43 cC78xcomp: $i > $o)).
% 0.21/0.43 tff(cC76xcomp_type, type, (
% 0.21/0.43 cC76xcomp: $i > $o)).
% 0.21/0.43 tff(cC96xcomp_type, type, (
% 0.21/0.43 cC96xcomp: $i > $o)).
% 0.21/0.43 tff(cC112xcomp_type, type, (
% 0.21/0.43 cC112xcomp: $i > $o)).
% 0.21/0.43 tff(cC110_type, type, (
% 0.21/0.43 cC110: $i > $o)).
% 0.21/0.43 tff(cC108xcomp_type, type, (
% 0.21/0.43 cC108xcomp: $i > $o)).
% 0.21/0.43 tff(cC102xcomp_type, type, (
% 0.21/0.43 cC102xcomp: $i > $o)).
% 0.21/0.43 tff(cC94_type, type, (
% 0.21/0.43 cC94: $i > $o)).
% 0.21/0.43 tff(cC92xcomp_type, type, (
% 0.21/0.43 cC92xcomp: $i > $o)).
% 0.21/0.43 tff(cC86xcomp_type, type, (
% 0.21/0.43 cC86xcomp: $i > $o)).
% 0.21/0.43 tff(cC58_type, type, (
% 0.21/0.43 cC58: $i > $o)).
% 0.21/0.43 tff(cC34_type, type, (
% 0.21/0.43 cC34: $i > $o)).
% 0.21/0.43 tff(1,assumption,(cowlNothing(X!91) | (~cowlThing(X!91))), introduced(assumption)).
% 0.21/0.43 tff(2,plain,
% 0.21/0.43 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(3,plain,
% 0.21/0.43 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.43 tff(4,plain,
% 0.21/0.43 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(5,plain,
% 0.21/0.43 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[4])).
% 0.21/0.43 tff(6,plain,
% 0.21/0.43 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.21/0.43 tff(8,plain,
% 0.21/0.43 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.21/0.43 tff(9,plain,(
% 0.21/0.43 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[8])).
% 0.21/0.43 tff(10,plain,
% 0.21/0.43 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.21/0.43 tff(11,plain,
% 0.21/0.43 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.21/0.43 tff(12,plain,
% 0.21/0.43 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!91) | (~cowlThing(X!91))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(13,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.21/0.43 tff(14,plain,(~(cowlNothing(X!91) | (~cowlThing(X!91)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(15,plain,
% 0.21/0.43 ((cowlNothing(X!91) | (~cowlThing(X!91))) | cowlThing(X!91)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(16,plain,
% 0.21/0.43 (cowlThing(X!91)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.21/0.43 tff(17,plain,
% 0.21/0.43 ((cowlNothing(X!91) | (~cowlThing(X!91))) | (~cowlNothing(X!91))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(18,plain,
% 0.21/0.43 (~cowlNothing(X!91)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.21/0.43 tff(19,plain,
% 0.21/0.43 (^[X: $i] : refl((~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X))) <=> (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(20,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X))) <=> ![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.43 tff(21,plain,
% 0.21/0.43 (^[X: $i] : trans(trans(monotonicity(rewrite((cC4(X) & cC10xcomp(X)) <=> (~((~cC10xcomp(X)) | (~cC4(X))))), ((cC56(X) <=> (cC4(X) & cC10xcomp(X))) <=> (cC56(X) <=> (~((~cC10xcomp(X)) | (~cC4(X))))))), rewrite((cC56(X) <=> (~((~cC10xcomp(X)) | (~cC4(X))))) <=> (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))), ((cC56(X) <=> (cC4(X) & cC10xcomp(X))) <=> (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X))))), rewrite((~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X))) <=> (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))), ((cC56(X) <=> (cC4(X) & cC10xcomp(X))) <=> (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(22,plain,
% 0.21/0.43 (![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X))) <=> ![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[21])).
% 0.21/0.43 tff(23,plain,
% 0.21/0.43 (![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X))) <=> ![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(24,axiom,(![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_93')).
% 0.21/0.43 tff(25,plain,
% 0.21/0.43 (![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.43 tff(26,plain,(
% 0.21/0.43 ![X: $i] : (cC56(X) <=> (cC4(X) & cC10xcomp(X)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[25])).
% 0.21/0.43 tff(27,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.21/0.43 tff(28,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.21/0.43 tff(29,plain,
% 0.21/0.43 ((~![X: $i] : (~(((~cC10xcomp(X)) | (~cC4(X))) <=> cC56(X)))) | (~(((~cC10xcomp(iV822576)) | (~cC4(iV822576))) <=> cC56(iV822576)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(30,plain,
% 0.21/0.43 (~(((~cC10xcomp(iV822576)) | (~cC4(iV822576))) <=> cC56(iV822576))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.21/0.43 tff(31,plain,
% 0.21/0.43 (cC10xcomp(iV822576) <=> cC10xcomp(iV822576)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(32,axiom,(cC10xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_167')).
% 0.21/0.43 tff(33,plain,
% 0.21/0.43 (cC10xcomp(iV822576)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.21/0.43 tff(34,plain,
% 0.21/0.43 (cC4(iV822576) <=> cC4(iV822576)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(35,axiom,(cC4(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_149')).
% 0.21/0.43 tff(36,plain,
% 0.21/0.43 (cC4(iV822576)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.21/0.43 tff(37,plain,
% 0.21/0.43 ((~((~cC10xcomp(iV822576)) | (~cC4(iV822576)))) | (~cC10xcomp(iV822576)) | (~cC4(iV822576))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(38,plain,
% 0.21/0.43 (~((~cC10xcomp(iV822576)) | (~cC4(iV822576)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[37, 36, 33])).
% 0.21/0.43 tff(39,plain,
% 0.21/0.43 ((((~cC10xcomp(iV822576)) | (~cC4(iV822576))) <=> cC56(iV822576)) | ((~cC10xcomp(iV822576)) | (~cC4(iV822576))) | cC56(iV822576)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(40,plain,
% 0.21/0.43 ((((~cC10xcomp(iV822576)) | (~cC4(iV822576))) <=> cC56(iV822576)) | cC56(iV822576)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.21/0.43 tff(41,plain,
% 0.21/0.43 (cC56(iV822576)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[40, 30])).
% 0.21/0.43 tff(42,plain,
% 0.21/0.43 (^[X: $i] : refl((~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X))) <=> (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(43,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X))) <=> ![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[42])).
% 0.21/0.43 tff(44,plain,
% 0.21/0.43 (^[X: $i] : trans(trans(monotonicity(rewrite((cC134xcomp(X) & cC116(X)) <=> (~((~cC134xcomp(X)) | (~cC116(X))))), ((cC136(X) <=> (cC134xcomp(X) & cC116(X))) <=> (cC136(X) <=> (~((~cC134xcomp(X)) | (~cC116(X))))))), rewrite((cC136(X) <=> (~((~cC134xcomp(X)) | (~cC116(X))))) <=> (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))), ((cC136(X) <=> (cC134xcomp(X) & cC116(X))) <=> (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X))))), rewrite((~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X))) <=> (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))), ((cC136(X) <=> (cC134xcomp(X) & cC116(X))) <=> (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(45,plain,
% 0.21/0.43 (![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X))) <=> ![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.43 tff(46,plain,
% 0.21/0.43 (![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X))) <=> ![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(47,axiom,(![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_42')).
% 0.21/0.43 tff(48,plain,
% 0.21/0.43 (![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.21/0.43 tff(49,plain,(
% 0.21/0.43 ![X: $i] : (cC136(X) <=> (cC134xcomp(X) & cC116(X)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[48])).
% 0.21/0.43 tff(50,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.21/0.43 tff(51,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.21/0.43 tff(52,plain,
% 0.21/0.43 (((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)))) <=> ((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(53,plain,
% 0.21/0.43 ((~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))) <=> (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(54,plain,
% 0.21/0.43 ((((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576)) <=> (((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(55,plain,
% 0.21/0.43 ((~(((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576))) <=> (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[54])).
% 0.21/0.43 tff(56,plain,
% 0.21/0.43 ((~(((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576))) <=> (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)))),
% 0.21/0.43 inference(transitivity,[status(thm)],[55, 53])).
% 0.21/0.43 tff(57,plain,
% 0.21/0.43 (((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576)))) <=> ((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[56])).
% 0.21/0.43 tff(58,plain,
% 0.21/0.43 (((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576)))) <=> ((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[57, 52])).
% 0.21/0.43 tff(59,plain,
% 0.21/0.43 ((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC134xcomp(iV822576)) | (~cC116(iV822576))) <=> cC136(iV822576)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(60,plain,
% 0.21/0.43 ((~![X: $i] : (~(((~cC134xcomp(X)) | (~cC116(X))) <=> cC136(X)))) | (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.21/0.43 tff(61,plain,
% 0.21/0.43 (~(((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[60, 51])).
% 0.21/0.43 tff(62,plain,
% 0.21/0.43 (^[X: $i] : refl((~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(63,plain,
% 0.21/0.43 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[62])).
% 0.21/0.44 tff(64,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC114(X) & cC80(X)) <=> (~((~cC114(X)) | (~cC80(X))))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC80(X))))))), rewrite((cC116(X) <=> (~((~cC114(X)) | (~cC80(X))))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))))), rewrite((~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(65,plain,
% 0.21/0.44 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[64])).
% 0.21/0.44 tff(66,plain,
% 0.21/0.44 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X))) <=> ![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(67,axiom,(![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_22')).
% 0.21/0.44 tff(68,plain,
% 0.21/0.44 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.21/0.44 tff(69,plain,(
% 0.21/0.44 ![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[68])).
% 0.21/0.44 tff(70,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.21/0.44 tff(71,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.21/0.44 tff(72,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))) | (~(((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(73,plain,
% 0.21/0.44 (~(((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.21/0.44 tff(74,plain,
% 0.21/0.44 (^[X: $i] : refl((~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X))) <=> (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(75,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X))) <=> ![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[74])).
% 0.21/0.44 tff(76,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC78xcomp(X) & cC76xcomp(X)) <=> (~((~cC76xcomp(X)) | (~cC78xcomp(X))))), ((cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X))) <=> (cC80(X) <=> (~((~cC76xcomp(X)) | (~cC78xcomp(X))))))), rewrite((cC80(X) <=> (~((~cC76xcomp(X)) | (~cC78xcomp(X))))) <=> (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))), ((cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X))) <=> (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X))))), rewrite((~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X))) <=> (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))), ((cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X))) <=> (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(77,plain,
% 0.21/0.44 (![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[76])).
% 0.21/0.44 tff(78,plain,
% 0.21/0.44 (![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(79,axiom,(![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_117')).
% 0.21/0.44 tff(80,plain,
% 0.21/0.44 (![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.21/0.44 tff(81,plain,(
% 0.21/0.44 ![X: $i] : (cC80(X) <=> (cC78xcomp(X) & cC76xcomp(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[80])).
% 0.21/0.44 tff(82,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.21/0.44 tff(83,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[82, 75])).
% 0.21/0.44 tff(84,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC76xcomp(X)) | (~cC78xcomp(X))) <=> cC80(X)))) | (~(((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))) <=> cC80(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(85,plain,
% 0.21/0.44 (~(((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))) <=> cC80(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.21/0.44 tff(86,plain,
% 0.21/0.44 (cC78xcomp(iV822576) <=> cC78xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(87,axiom,(cC78xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_158')).
% 0.21/0.44 tff(88,plain,
% 0.21/0.44 (cC78xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.21/0.44 tff(89,plain,
% 0.21/0.44 (cC76xcomp(iV822576) <=> cC76xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(90,axiom,(cC76xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_152')).
% 0.21/0.44 tff(91,plain,
% 0.21/0.44 (cC76xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.21/0.44 tff(92,plain,
% 0.21/0.44 ((~((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576)))) | (~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(93,plain,
% 0.21/0.44 (~((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[92, 91, 88])).
% 0.21/0.44 tff(94,plain,
% 0.21/0.44 ((((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))) <=> cC80(iV822576)) | ((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))) | cC80(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(95,plain,
% 0.21/0.44 ((((~cC76xcomp(iV822576)) | (~cC78xcomp(iV822576))) <=> cC80(iV822576)) | cC80(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.21/0.44 tff(96,plain,
% 0.21/0.44 (cC80(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[95, 85])).
% 0.21/0.44 tff(97,plain,
% 0.21/0.44 (^[X: $i] : refl((~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X))) <=> (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(98,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X))) <=> ![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[97])).
% 0.21/0.44 tff(99,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC112xcomp(X) & cC96xcomp(X)) <=> (~((~cC112xcomp(X)) | (~cC96xcomp(X))))), ((cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X))) <=> (cC114(X) <=> (~((~cC112xcomp(X)) | (~cC96xcomp(X))))))), rewrite((cC114(X) <=> (~((~cC112xcomp(X)) | (~cC96xcomp(X))))) <=> (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))), ((cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X))) <=> (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X))))), rewrite((~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X))) <=> (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))), ((cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X))) <=> (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(100,plain,
% 0.21/0.44 (![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X))) <=> ![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[99])).
% 0.21/0.44 tff(101,plain,
% 0.21/0.44 (![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X))) <=> ![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(102,axiom,(![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_21')).
% 0.21/0.44 tff(103,plain,
% 0.21/0.44 (![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.21/0.44 tff(104,plain,(
% 0.21/0.44 ![X: $i] : (cC114(X) <=> (cC112xcomp(X) & cC96xcomp(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[103])).
% 0.21/0.44 tff(105,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.21/0.44 tff(106,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.21/0.44 tff(107,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC112xcomp(X)) | (~cC96xcomp(X))) <=> cC114(X)))) | (~(((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))) <=> cC114(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(108,plain,
% 0.21/0.44 (~(((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))) <=> cC114(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.21/0.44 tff(109,plain,
% 0.21/0.44 (cC96xcomp(iV822576) <=> cC96xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(110,axiom,(cC96xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_153')).
% 0.21/0.44 tff(111,plain,
% 0.21/0.44 (cC96xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.21/0.44 tff(112,plain,
% 0.21/0.44 (cC112xcomp(iV822576) <=> cC112xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(113,axiom,(cC112xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_151')).
% 0.21/0.44 tff(114,plain,
% 0.21/0.44 (cC112xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.21/0.44 tff(115,plain,
% 0.21/0.44 ((~((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576)))) | (~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(116,plain,
% 0.21/0.44 (~((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[115, 114, 111])).
% 0.21/0.44 tff(117,plain,
% 0.21/0.44 ((((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))) <=> cC114(iV822576)) | ((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))) | cC114(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(118,plain,
% 0.21/0.44 ((((~cC112xcomp(iV822576)) | (~cC96xcomp(iV822576))) <=> cC114(iV822576)) | cC114(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[117, 116])).
% 0.21/0.44 tff(119,plain,
% 0.21/0.44 (cC114(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[118, 108])).
% 0.21/0.44 tff(120,plain,
% 0.21/0.44 ((~((~cC114(iV822576)) | (~cC80(iV822576)))) | (~cC114(iV822576)) | (~cC80(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(121,plain,
% 0.21/0.44 (~((~cC114(iV822576)) | (~cC80(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[120, 119, 96])).
% 0.21/0.44 tff(122,plain,
% 0.21/0.44 ((((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)) | ((~cC114(iV822576)) | (~cC80(iV822576))) | cC116(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(123,plain,
% 0.21/0.44 ((((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)) | cC116(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.21/0.44 tff(124,plain,
% 0.21/0.44 (cC116(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[123, 73])).
% 0.21/0.44 tff(125,plain,
% 0.21/0.44 (cC134xcomp(iV822576) <=> cC134xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(126,axiom,(cC134xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_160')).
% 0.21/0.44 tff(127,plain,
% 0.21/0.44 (cC134xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.21/0.44 tff(128,plain,
% 0.21/0.44 ((~((~cC116(iV822576)) | (~cC134xcomp(iV822576)))) | (~cC116(iV822576)) | (~cC134xcomp(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(129,plain,
% 0.21/0.44 ((~((~cC116(iV822576)) | (~cC134xcomp(iV822576)))) | (~cC116(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.21/0.44 tff(130,plain,
% 0.21/0.44 (~((~cC116(iV822576)) | (~cC134xcomp(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[129, 124])).
% 0.21/0.44 tff(131,plain,
% 0.21/0.44 ((((~cC116(iV822576)) | (~cC134xcomp(iV822576))) <=> cC136(iV822576)) | ((~cC116(iV822576)) | (~cC134xcomp(iV822576))) | cC136(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(132,plain,
% 0.21/0.44 (cC136(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[131, 130, 61])).
% 0.21/0.44 tff(133,plain,
% 0.21/0.44 (^[X: $i] : refl((~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X))) <=> (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(134,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X))) <=> ![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[133])).
% 0.21/0.44 tff(135,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC102xcomp(X) & cC108xcomp(X)) <=> (~((~cC102xcomp(X)) | (~cC108xcomp(X))))), ((cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X))) <=> (cC110(X) <=> (~((~cC102xcomp(X)) | (~cC108xcomp(X))))))), rewrite((cC110(X) <=> (~((~cC102xcomp(X)) | (~cC108xcomp(X))))) <=> (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))), ((cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X))) <=> (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X))))), rewrite((~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X))) <=> (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))), ((cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X))) <=> (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(136,plain,
% 0.21/0.44 (![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X))) <=> ![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[135])).
% 0.21/0.44 tff(137,plain,
% 0.21/0.44 (![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X))) <=> ![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(138,axiom,(![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_15')).
% 0.21/0.44 tff(139,plain,
% 0.21/0.44 (![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.21/0.44 tff(140,plain,(
% 0.21/0.44 ![X: $i] : (cC110(X) <=> (cC102xcomp(X) & cC108xcomp(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[139])).
% 0.21/0.44 tff(141,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[140, 136])).
% 0.21/0.44 tff(142,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.21/0.44 tff(143,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC102xcomp(X)) | (~cC108xcomp(X))) <=> cC110(X)))) | (~(((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))) <=> cC110(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(144,plain,
% 0.21/0.44 (~(((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))) <=> cC110(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.21/0.44 tff(145,plain,
% 0.21/0.44 (cC108xcomp(iV822576) <=> cC108xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(146,axiom,(cC108xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_148')).
% 0.21/0.44 tff(147,plain,
% 0.21/0.44 (cC108xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.21/0.44 tff(148,plain,
% 0.21/0.44 (cC102xcomp(iV822576) <=> cC102xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(149,axiom,(cC102xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_147')).
% 0.21/0.44 tff(150,plain,
% 0.21/0.44 (cC102xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.21/0.44 tff(151,plain,
% 0.21/0.44 ((~((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576)))) | (~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(152,plain,
% 0.21/0.44 (~((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[151, 150, 147])).
% 0.21/0.44 tff(153,plain,
% 0.21/0.44 ((((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))) <=> cC110(iV822576)) | ((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))) | cC110(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(154,plain,
% 0.21/0.44 ((((~cC102xcomp(iV822576)) | (~cC108xcomp(iV822576))) <=> cC110(iV822576)) | cC110(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[153, 152])).
% 0.21/0.44 tff(155,plain,
% 0.21/0.44 (cC110(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[154, 144])).
% 0.21/0.44 tff(156,plain,
% 0.21/0.44 (^[X: $i] : refl((~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X))) <=> (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(157,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X))) <=> ![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[156])).
% 0.21/0.44 tff(158,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC86xcomp(X) & cC92xcomp(X)) <=> (~((~cC86xcomp(X)) | (~cC92xcomp(X))))), ((cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X))) <=> (cC94(X) <=> (~((~cC86xcomp(X)) | (~cC92xcomp(X))))))), rewrite((cC94(X) <=> (~((~cC86xcomp(X)) | (~cC92xcomp(X))))) <=> (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))), ((cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X))) <=> (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X))))), rewrite((~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X))) <=> (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))), ((cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X))) <=> (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(159,plain,
% 0.21/0.44 (![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X))) <=> ![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[158])).
% 0.21/0.44 tff(160,plain,
% 0.21/0.44 (![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X))) <=> ![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(161,axiom,(![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_136')).
% 0.21/0.44 tff(162,plain,
% 0.21/0.44 (![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.21/0.44 tff(163,plain,(
% 0.21/0.44 ![X: $i] : (cC94(X) <=> (cC86xcomp(X) & cC92xcomp(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[162])).
% 0.21/0.44 tff(164,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[163, 159])).
% 0.21/0.44 tff(165,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[164, 157])).
% 0.21/0.44 tff(166,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC86xcomp(X)) | (~cC92xcomp(X))) <=> cC94(X)))) | (~(((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))) <=> cC94(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(167,plain,
% 0.21/0.44 (~(((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))) <=> cC94(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.21/0.44 tff(168,plain,
% 0.21/0.44 (cC92xcomp(iV822576) <=> cC92xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(169,axiom,(cC92xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_168')).
% 0.21/0.44 tff(170,plain,
% 0.21/0.44 (cC92xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.21/0.44 tff(171,plain,
% 0.21/0.44 (cC86xcomp(iV822576) <=> cC86xcomp(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(172,axiom,(cC86xcomp(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_161')).
% 0.21/0.44 tff(173,plain,
% 0.21/0.44 (cC86xcomp(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.21/0.44 tff(174,plain,
% 0.21/0.44 ((~((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576)))) | (~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(175,plain,
% 0.21/0.44 (~((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[174, 173, 170])).
% 0.21/0.44 tff(176,plain,
% 0.21/0.44 ((((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))) <=> cC94(iV822576)) | ((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))) | cC94(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(177,plain,
% 0.21/0.44 ((((~cC86xcomp(iV822576)) | (~cC92xcomp(iV822576))) <=> cC94(iV822576)) | cC94(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[176, 175])).
% 0.21/0.44 tff(178,plain,
% 0.21/0.44 (cC94(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[177, 167])).
% 0.21/0.44 tff(179,plain,
% 0.21/0.44 (^[X: $i] : refl((~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(180,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> ![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[179])).
% 0.21/0.44 tff(181,plain,
% 0.21/0.44 (^[X: $i] : trans(trans(monotonicity(rewrite((cC34(X) & cC56(X)) <=> (~((~cC34(X)) | (~cC56(X))))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (cC58(X) <=> (~((~cC34(X)) | (~cC56(X))))))), rewrite((cC58(X) <=> (~((~cC34(X)) | (~cC56(X))))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))))), rewrite((~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(182,plain,
% 0.21/0.44 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X))) <=> ![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[181])).
% 0.21/0.44 tff(183,plain,
% 0.21/0.44 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X))) <=> ![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(184,axiom,(![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_94')).
% 0.21/0.44 tff(185,plain,
% 0.21/0.44 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.21/0.44 tff(186,plain,(
% 0.21/0.44 ![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[185])).
% 0.21/0.44 tff(187,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[186, 182])).
% 0.21/0.44 tff(188,plain,
% 0.21/0.44 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.21/0.44 tff(189,plain,
% 0.21/0.44 ((~![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))) | (~(((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(190,plain,
% 0.21/0.44 (~(((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.21/0.44 tff(191,plain,
% 0.21/0.44 (cC34(iV822576) <=> cC34(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(192,axiom,(cC34(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_162')).
% 0.21/0.44 tff(193,plain,
% 0.21/0.44 (cC34(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.21/0.44 tff(194,plain,
% 0.21/0.44 ((~((~cC34(iV822576)) | (~cC56(iV822576)))) | (~cC34(iV822576)) | (~cC56(iV822576))),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(195,plain,
% 0.21/0.44 ((~((~cC34(iV822576)) | (~cC56(iV822576)))) | (~cC56(iV822576))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.21/0.44 tff(196,plain,
% 0.21/0.44 (~((~cC34(iV822576)) | (~cC56(iV822576)))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[195, 41])).
% 0.21/0.44 tff(197,plain,
% 0.21/0.44 ((((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576)) | ((~cC34(iV822576)) | (~cC56(iV822576))) | cC58(iV822576)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(198,plain,
% 0.21/0.44 (cC58(iV822576)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[197, 196, 190])).
% 0.21/0.44 tff(199,plain,
% 0.21/0.44 (cowlThing(iV822576) <=> cowlThing(iV822576)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(200,axiom,(cowlThing(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_166')).
% 0.21/0.44 tff(201,plain,
% 0.21/0.44 (cowlThing(iV822576)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.21/0.44 tff(202,plain,
% 0.21/0.44 (((cowlNothing(X!91) | (~cowlThing(X!91))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576))) <=> (cowlNothing(X!91) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576)) | (~cowlThing(X!91)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(203,plain,
% 0.21/0.44 ((~(~(cowlNothing(X!91) | (~cowlThing(X!91))))) <=> (cowlNothing(X!91) | (~cowlThing(X!91)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(204,plain,
% 0.21/0.44 ((cowlThing(X!91) & (~cowlNothing(X!91))) <=> (~(cowlNothing(X!91) | (~cowlThing(X!91))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(205,plain,
% 0.21/0.44 ((~(cowlThing(X!91) & (~cowlNothing(X!91)))) <=> (~(~(cowlNothing(X!91) | (~cowlThing(X!91)))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[204])).
% 0.21/0.44 tff(206,plain,
% 0.21/0.44 ((~(cowlThing(X!91) & (~cowlNothing(X!91)))) <=> (cowlNothing(X!91) | (~cowlThing(X!91)))),
% 0.21/0.44 inference(transitivity,[status(thm)],[205, 203])).
% 0.21/0.44 tff(207,plain,
% 0.21/0.44 (((~(cowlThing(X!91) & (~cowlNothing(X!91)))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576))) <=> ((cowlNothing(X!91) | (~cowlThing(X!91))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[206])).
% 0.21/0.45 tff(208,plain,
% 0.21/0.45 (((~(cowlThing(X!91) & (~cowlNothing(X!91)))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576))) <=> (cowlNothing(X!91) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576)) | (~cowlThing(X!91)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[207, 202])).
% 0.21/0.45 tff(209,plain,
% 0.21/0.45 (((~(cowlThing(X!91) & (~cowlNothing(X!91)))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576))) <=> ((~(cowlThing(X!91) & (~cowlNothing(X!91)))) | (xsd_integer(X!92) <=> xsd_string(X!92)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC114(iV822576)) | (~cowlThing(iV822576)) | (~cC94(iV822576)) | (~cC80(iV822576)) | (~cC110(iV822576)) | (~cC136(iV822576)) | (~cC56(iV822576)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(210,plain,
% 0.21/0.45 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(211,plain,
% 0.21/0.45 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[210])).
% 0.21/0.45 tff(212,plain,
% 0.21/0.45 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(213,plain,
% 0.21/0.45 ((~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC58(iV822576)) & cC116(iV822576)) & cC114(iV822576)) & cowlThing(iV822576)) & cC94(iV822576)) & cC80(iV822576)) & cC110(iV822576)) & cC136(iV822576)) & cC56(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(214,axiom,(~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC58(iV822576)) & cC116(iV822576)) & cC114(iV822576)) & cowlThing(iV822576)) & cC94(iV822576)) & cC80(iV822576)) & cC110(iV822576)) & cC136(iV822576)) & cC56(iV822576))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.21/0.45 tff(215,plain,
% 0.21/0.45 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.21/0.45 tff(216,plain,
% 0.21/0.45 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[215, 211])).
% 0.21/0.45 tff(217,plain,
% 0.21/0.45 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.21/0.45 tff(218,plain,
% 0.21/0.45 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC58(iV822576) & cC116(iV822576) & cC114(iV822576) & cowlThing(iV822576) & cC94(iV822576) & cC80(iV822576) & cC110(iV822576) & cC136(iV822576) & cC56(iV822576))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[217, 211])).
% 0.21/0.45 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.21/0.45 (a!2 (not (and (cowlThing X!91) (not (cowlNothing X!91)))))
% 0.21/0.45 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.21/0.45 (a!5 (refl (~ (not (cC58 iV822576)) (not (cC58 iV822576)))))
% 0.21/0.45 (a!6 (refl (~ (not (cC116 iV822576)) (not (cC116 iV822576)))))
% 0.21/0.45 (a!7 (refl (~ (not (cC114 iV822576)) (not (cC114 iV822576)))))
% 0.21/0.45 (a!8 (refl (~ (not (cowlThing iV822576)) (not (cowlThing iV822576)))))
% 0.21/0.45 (a!9 (refl (~ (not (cC94 iV822576)) (not (cC94 iV822576)))))
% 0.21/0.45 (a!10 (refl (~ (not (cC80 iV822576)) (not (cC80 iV822576)))))
% 0.21/0.45 (a!11 (refl (~ (not (cC110 iV822576)) (not (cC110 iV822576)))))
% 0.21/0.45 (a!12 (refl (~ (not (cC136 iV822576)) (not (cC136 iV822576)))))
% 0.21/0.45 (a!13 (refl (~ (not (cC56 iV822576)) (not (cC56 iV822576))))))
% 0.21/0.45 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!92) (xsd_string X!92)))))
% 0.21/0.45 (a!14 (~ (not (and a!1
% 0.21/0.45 a!3
% 0.21/0.45 (cC58 iV822576)
% 0.21/0.45 (cC116 iV822576)
% 0.21/0.45 (cC114 iV822576)
% 0.21/0.45 (cowlThing iV822576)
% 0.21/0.45 (cC94 iV822576)
% 0.21/0.45 (cC80 iV822576)
% 0.21/0.45 (cC110 iV822576)
% 0.21/0.45 (cC136 iV822576)
% 0.21/0.45 (cC56 iV822576)))
% 0.21/0.45 (or a!2
% 0.21/0.45 (= (xsd_integer X!92) (xsd_string X!92))
% 0.21/0.45 (not (cC58 iV822576))
% 0.21/0.45 (not (cC116 iV822576))
% 0.21/0.45 (not (cC114 iV822576))
% 0.21/0.45 (not (cowlThing iV822576))
% 0.21/0.45 (not (cC94 iV822576))
% 0.21/0.45 (not (cC80 iV822576))
% 0.21/0.45 (not (cC110 iV822576))
% 0.21/0.45 (not (cC136 iV822576))
% 0.21/0.45 (not (cC56 iV822576))))))
% 0.21/0.45 (nnf-neg (sk (~ (not a!1) a!2))
% 0.21/0.45 a!4
% 0.21/0.45 a!5
% 0.21/0.45 a!6
% 0.21/0.45 a!7
% 0.21/0.45 a!8
% 0.21/0.45 a!9
% 0.21/0.45 a!10
% 0.21/0.45 a!11
% 0.21/0.45 a!12
% 0.21/0.45 a!13
% 0.21/0.45 a!14)))
% 0.21/0.45 Proof display could not be completed: unexpected number of arguments
% 0.21/0.46 % E exiting
%------------------------------------------------------------------------------