%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS148+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 05:13:29 AM UTC 2025
% Result : Theorem 0.19s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS148+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 19:11:56 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 tff(xsd_string_type, type, (
% 0.19/0.40 xsd_string: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X_25_type, type, (
% 0.19/0.40 tptp_fun_X_25: $i)).
% 0.19/0.40 tff(xsd_integer_type, type, (
% 0.19/0.40 xsd_integer: $i > $o)).
% 0.19/0.40 tff(cowlThing_type, type, (
% 0.19/0.40 cowlThing: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X_24_type, type, (
% 0.19/0.40 tptp_fun_X_24: $i)).
% 0.19/0.40 tff(cowlNothing_type, type, (
% 0.19/0.40 cowlNothing: $i > $o)).
% 0.19/0.40 tff(cC140_type, type, (
% 0.19/0.40 cC140: $i > $o)).
% 0.19/0.40 tff(iV5475_type, type, (
% 0.19/0.40 iV5475: $i)).
% 0.19/0.40 tff(cC116_type, type, (
% 0.19/0.40 cC116: $i > $o)).
% 0.19/0.40 tff(cTEST_type, type, (
% 0.19/0.40 cTEST: $i > $o)).
% 0.19/0.40 tff(cTOP_type, type, (
% 0.19/0.40 cTOP: $i > $o)).
% 0.19/0.40 tff(cC114_type, type, (
% 0.19/0.40 cC114: $i > $o)).
% 0.19/0.40 tff(cC138_type, type, (
% 0.19/0.40 cC138: $i > $o)).
% 0.19/0.40 tff(1,assumption,(cowlNothing(X!24) | (~cowlThing(X!24))), introduced(assumption)).
% 0.19/0.40 tff(2,plain,
% 0.19/0.40 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(3,plain,
% 0.19/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.40 tff(4,plain,
% 0.19/0.40 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(5,plain,
% 0.19/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.40 tff(6,plain,
% 0.19/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.40 tff(8,plain,
% 0.19/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.40 tff(9,plain,(
% 0.19/0.40 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[8])).
% 0.19/0.40 tff(10,plain,
% 0.19/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.40 tff(11,plain,
% 0.19/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.40 tff(12,plain,
% 0.19/0.40 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!24) | (~cowlThing(X!24))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(13,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.19/0.40 tff(14,plain,(~(cowlNothing(X!24) | (~cowlThing(X!24)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(15,plain,
% 0.19/0.40 ((cowlNothing(X!24) | (~cowlThing(X!24))) | cowlThing(X!24)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (cowlThing(X!24)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 ((cowlNothing(X!24) | (~cowlThing(X!24))) | (~cowlNothing(X!24))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (~cowlNothing(X!24)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (^[X: $i] : refl((~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X))) <=> (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (^[X: $i] : trans(trans(monotonicity(rewrite((cC140(X) & cC116(X)) <=> (~((~cC140(X)) | (~cC116(X))))), ((cTEST(X) <=> (cC140(X) & cC116(X))) <=> (cTEST(X) <=> (~((~cC140(X)) | (~cC116(X))))))), rewrite((cTEST(X) <=> (~((~cC140(X)) | (~cC116(X))))) <=> (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC140(X) & cC116(X))) <=> (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X))))), rewrite((~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X))) <=> (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC140(X) & cC116(X))) <=> (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X))) <=> ![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[21])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X))) <=> ![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(24,axiom,(![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_71')).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.40 tff(26,plain,(
% 0.19/0.40 ![X: $i] : (cTEST(X) <=> (cC140(X) & cC116(X)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[25])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 (((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)))) <=> ((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 ((~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))) <=> (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 ((((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475)) <=> (((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 ((~(((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475))) <=> (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[31])).
% 0.19/0.40 tff(33,plain,
% 0.19/0.40 ((~(((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475))) <=> (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[32, 30])).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475)))) <=> ((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[33])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 (((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475)))) <=> ((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[34, 29])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 ((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC140(iV5475)) | (~cC116(iV5475))) <=> cTEST(iV5475)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 ((~![X: $i] : (~(((~cC140(X)) | (~cC116(X))) <=> cTEST(X)))) | (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 (~(((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[37, 28])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (cTEST(iV5475) <=> cTEST(iV5475)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(40,axiom,(cTEST(iV5475)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_72')).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 (cTEST(iV5475)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 ((((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)) | (~((~cC116(iV5475)) | (~cC140(iV5475)))) | (~cTEST(iV5475))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 ((((~cC116(iV5475)) | (~cC140(iV5475))) <=> cTEST(iV5475)) | (~((~cC116(iV5475)) | (~cC140(iV5475))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (~((~cC116(iV5475)) | (~cC140(iV5475)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[43, 38])).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (((~cC116(iV5475)) | (~cC140(iV5475))) | cC140(iV5475)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (cC140(iV5475)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 (^[X: $i] : refl((~((cC114(X) | (~cTOP(X))) <=> cC116(X))) <=> (~((cC114(X) | (~cTOP(X))) <=> cC116(X))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 (![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X))) <=> ![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[47])).
% 0.19/0.40 tff(49,plain,
% 0.19/0.40 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & (~cC114(X))) <=> (~(cC114(X) | (~cTOP(X))))), ((cC116(X) <=> (cTOP(X) & (~cC114(X)))) <=> (cC116(X) <=> (~(cC114(X) | (~cTOP(X))))))), rewrite((cC116(X) <=> (~(cC114(X) | (~cTOP(X))))) <=> (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))), ((cC116(X) <=> (cTOP(X) & (~cC114(X)))) <=> (~((cC114(X) | (~cTOP(X))) <=> cC116(X))))), rewrite((~((cC114(X) | (~cTOP(X))) <=> cC116(X))) <=> (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))), ((cC116(X) <=> (cTOP(X) & (~cC114(X)))) <=> (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X)))) <=> ![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[49])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 (![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X)))) <=> ![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(52,axiom,(![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_11')).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.40 tff(54,plain,(
% 0.19/0.40 ![X: $i] : (cC116(X) <=> (cTOP(X) & (~cC114(X))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[53])).
% 0.19/0.40 tff(55,plain,
% 0.19/0.40 (![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 (![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 ((~![X: $i] : (~((cC114(X) | (~cTOP(X))) <=> cC116(X)))) | (~((cC114(iV5475) | (~cTOP(iV5475))) <=> cC116(iV5475)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(58,plain,
% 0.19/0.40 (~((cC114(iV5475) | (~cTOP(iV5475))) <=> cC116(iV5475))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.19/0.40 tff(59,plain,
% 0.19/0.40 ((~cC114(iV5475)) <=> (~cC114(iV5475))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(60,axiom,(~cC114(iV5475)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_76')).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 (~cC114(iV5475)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.40 tff(62,plain,
% 0.19/0.40 (cTOP(iV5475) <=> cTOP(iV5475)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(63,axiom,(cTOP(iV5475)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_73')).
% 0.19/0.40 tff(64,plain,
% 0.19/0.40 (cTOP(iV5475)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.19/0.40 tff(65,plain,
% 0.19/0.40 ((~(cC114(iV5475) | (~cTOP(iV5475)))) | cC114(iV5475) | (~cTOP(iV5475))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(66,plain,
% 0.19/0.40 (~(cC114(iV5475) | (~cTOP(iV5475)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[65, 64, 61])).
% 0.19/0.40 tff(67,plain,
% 0.19/0.40 (((cC114(iV5475) | (~cTOP(iV5475))) <=> cC116(iV5475)) | (cC114(iV5475) | (~cTOP(iV5475))) | cC116(iV5475)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(68,plain,
% 0.19/0.40 (((cC114(iV5475) | (~cTOP(iV5475))) <=> cC116(iV5475)) | cC116(iV5475)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[67, 66])).
% 0.19/0.40 tff(69,plain,
% 0.19/0.40 (cC116(iV5475)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[68, 58])).
% 0.19/0.40 tff(70,plain,
% 0.19/0.40 (^[X: $i] : refl((~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X))) <=> (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(71,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X))) <=> ![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[70])).
% 0.19/0.40 tff(72,plain,
% 0.19/0.40 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & cC138(X)) <=> (~((~cC138(X)) | (~cTOP(X))))), ((cC140(X) <=> (cTOP(X) & cC138(X))) <=> (cC140(X) <=> (~((~cC138(X)) | (~cTOP(X))))))), rewrite((cC140(X) <=> (~((~cC138(X)) | (~cTOP(X))))) <=> (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))), ((cC140(X) <=> (cTOP(X) & cC138(X))) <=> (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X))))), rewrite((~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X))) <=> (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))), ((cC140(X) <=> (cTOP(X) & cC138(X))) <=> (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(73,plain,
% 0.19/0.40 (![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X))) <=> ![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[72])).
% 0.19/0.40 tff(74,plain,
% 0.19/0.40 (![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X))) <=> ![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(75,axiom,(![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_25')).
% 0.19/0.40 tff(76,plain,
% 0.19/0.40 (![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.19/0.40 tff(77,plain,(
% 0.19/0.40 ![X: $i] : (cC140(X) <=> (cTOP(X) & cC138(X)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[76])).
% 0.19/0.40 tff(78,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.19/0.40 tff(79,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.19/0.40 tff(80,plain,
% 0.19/0.40 ((~![X: $i] : (~(((~cC138(X)) | (~cTOP(X))) <=> cC140(X)))) | (~(((~cC138(iV5475)) | (~cTOP(iV5475))) <=> cC140(iV5475)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(81,plain,
% 0.19/0.40 (~(((~cC138(iV5475)) | (~cTOP(iV5475))) <=> cC140(iV5475))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.19/0.40 tff(82,plain,
% 0.19/0.40 ((((~cC138(iV5475)) | (~cTOP(iV5475))) <=> cC140(iV5475)) | (~((~cC138(iV5475)) | (~cTOP(iV5475)))) | (~cC140(iV5475))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(83,plain,
% 0.19/0.40 (~((~cC138(iV5475)) | (~cTOP(iV5475)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[82, 46, 81])).
% 0.19/0.40 tff(84,plain,
% 0.19/0.40 (((~cC138(iV5475)) | (~cTOP(iV5475))) | cC138(iV5475)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(85,plain,
% 0.19/0.40 (cC138(iV5475)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.19/0.40 tff(86,plain,
% 0.19/0.40 (cowlThing(iV5475) <=> cowlThing(iV5475)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(87,axiom,(cowlThing(iV5475)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_74')).
% 0.19/0.40 tff(88,plain,
% 0.19/0.40 (cowlThing(iV5475)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.19/0.40 tff(89,plain,
% 0.19/0.40 (((cowlNothing(X!24) | (~cowlThing(X!24))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475))) <=> (cowlNothing(X!24) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475)) | (~cowlThing(X!24)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(90,plain,
% 0.19/0.40 ((~(~(cowlNothing(X!24) | (~cowlThing(X!24))))) <=> (cowlNothing(X!24) | (~cowlThing(X!24)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(91,plain,
% 0.19/0.40 ((cowlThing(X!24) & (~cowlNothing(X!24))) <=> (~(cowlNothing(X!24) | (~cowlThing(X!24))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(92,plain,
% 0.19/0.40 ((~(cowlThing(X!24) & (~cowlNothing(X!24)))) <=> (~(~(cowlNothing(X!24) | (~cowlThing(X!24)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[91])).
% 0.19/0.40 tff(93,plain,
% 0.19/0.40 ((~(cowlThing(X!24) & (~cowlNothing(X!24)))) <=> (cowlNothing(X!24) | (~cowlThing(X!24)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[92, 90])).
% 0.19/0.40 tff(94,plain,
% 0.19/0.40 (((~(cowlThing(X!24) & (~cowlNothing(X!24)))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475))) <=> ((cowlNothing(X!24) | (~cowlThing(X!24))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[93])).
% 0.19/0.40 tff(95,plain,
% 0.19/0.40 (((~(cowlThing(X!24) & (~cowlNothing(X!24)))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475))) <=> (cowlNothing(X!24) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475)) | (~cowlThing(X!24)))),
% 0.19/0.41 inference(transitivity,[status(thm)],[94, 89])).
% 0.19/0.41 tff(96,plain,
% 0.19/0.41 (((~(cowlThing(X!24) & (~cowlNothing(X!24)))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475))) <=> ((~(cowlThing(X!24) & (~cowlNothing(X!24)))) | (xsd_integer(X!25) <=> xsd_string(X!25)) | (~cC138(iV5475)) | (~cowlThing(iV5475)) | (~cC116(iV5475)) | (~cC140(iV5475)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(97,plain,
% 0.19/0.41 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(98,plain,
% 0.19/0.41 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475)))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[97])).
% 0.19/0.41 tff(99,plain,
% 0.19/0.41 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(100,plain,
% 0.19/0.41 ((~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC138(iV5475)) & cowlThing(iV5475)) & cC116(iV5475)) & cC140(iV5475))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(101,axiom,(~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC138(iV5475)) & cowlThing(iV5475)) & cC116(iV5475)) & cC140(iV5475))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.41 tff(102,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.41 tff(103,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.19/0.41 tff(104,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.19/0.41 tff(105,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC138(iV5475) & cowlThing(iV5475) & cC116(iV5475) & cC140(iV5475))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[104, 98])).
% 0.19/0.41 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.41 (a!2 (not (and (cowlThing X!24) (not (cowlNothing X!24)))))
% 0.19/0.41 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.41 (a!5 (refl (~ (not (cC138 iV5475)) (not (cC138 iV5475)))))
% 0.19/0.41 (a!6 (refl (~ (not (cowlThing iV5475)) (not (cowlThing iV5475)))))
% 0.19/0.41 (a!7 (refl (~ (not (cC116 iV5475)) (not (cC116 iV5475)))))
% 0.19/0.41 (a!8 (refl (~ (not (cC140 iV5475)) (not (cC140 iV5475))))))
% 0.19/0.41 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!25) (xsd_string X!25)))))
% 0.19/0.41 (a!9 (~ (not (and a!1
% 0.19/0.41 a!3
% 0.19/0.41 (cC138 iV5475)
% 0.19/0.41 (cowlThing iV5475)
% 0.19/0.41 (cC116 iV5475)
% 0.19/0.41 (cC140 iV5475)))
% 0.19/0.41 (or a!2
% 0.19/0.41 (= (xsd_integer X!25) (xsd_string X!25))
% 0.19/0.41 (not (cC138 iV5475))
% 0.19/0.41 (not (cowlThing iV5475))
% 0.19/0.41 (not (cC116 iV5475))
% 0.19/0.41 (not (cC140 iV5475))))))
% 0.19/0.41 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6 a!7 a!8 a!9)))
% 0.19/0.41 Proof display could not be completed: unexpected number of arguments
% 0.19/0.42 % E exiting
%------------------------------------------------------------------------------