%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS149+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS149+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.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 19:11:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 tff(xsd_string_type, type, (
% 0.19/0.41 xsd_string: $i > $o)).
% 0.19/0.41 tff(tptp_fun_X_41_type, type, (
% 0.19/0.41 tptp_fun_X_41: $i)).
% 0.19/0.41 tff(xsd_integer_type, type, (
% 0.19/0.41 xsd_integer: $i > $o)).
% 0.19/0.41 tff(cowlThing_type, type, (
% 0.19/0.41 cowlThing: $i > $o)).
% 0.19/0.41 tff(tptp_fun_X_40_type, type, (
% 0.19/0.41 tptp_fun_X_40: $i)).
% 0.19/0.41 tff(cowlNothing_type, type, (
% 0.19/0.41 cowlNothing: $i > $o)).
% 0.19/0.41 tff(cC14_type, type, (
% 0.19/0.41 cC14: $i > $o)).
% 0.19/0.41 tff(iV3102_type, type, (
% 0.19/0.41 iV3102: $i)).
% 0.19/0.41 tff(cC2_type, type, (
% 0.19/0.41 cC2: $i > $o)).
% 0.19/0.41 tff(cC12_type, type, (
% 0.19/0.41 cC12: $i > $o)).
% 0.19/0.41 tff(cC64_type, type, (
% 0.19/0.41 cC64: $i > $o)).
% 0.19/0.41 tff(cTOP_type, type, (
% 0.19/0.41 cTOP: $i > $o)).
% 0.19/0.41 tff(cC62_type, type, (
% 0.19/0.41 cC62: $i > $o)).
% 0.19/0.41 tff(cC28_type, type, (
% 0.19/0.41 cC28: $i > $o)).
% 0.19/0.41 tff(cC26_type, type, (
% 0.19/0.41 cC26: $i > $o)).
% 0.19/0.41 tff(cC16_type, type, (
% 0.19/0.41 cC16: $i > $o)).
% 0.19/0.41 tff(cC44_type, type, (
% 0.19/0.41 cC44: $i > $o)).
% 0.19/0.41 tff(cC42_type, type, (
% 0.19/0.41 cC42: $i > $o)).
% 0.19/0.41 tff(cC32_type, type, (
% 0.19/0.41 cC32: $i > $o)).
% 0.19/0.41 tff(cC30_type, type, (
% 0.19/0.41 cC30: $i > $o)).
% 0.19/0.41 tff(cC46_type, type, (
% 0.19/0.41 cC46: $i > $o)).
% 0.19/0.41 tff(cC216_type, type, (
% 0.19/0.41 cC216: $i > $o)).
% 0.19/0.41 tff(cTEST_type, type, (
% 0.19/0.41 cTEST: $i > $o)).
% 0.19/0.41 tff(1,assumption,(cowlNothing(X!40) | (~cowlThing(X!40))), introduced(assumption)).
% 0.19/0.41 tff(2,plain,
% 0.19/0.41 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(3,plain,
% 0.19/0.41 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.41 tff(4,plain,
% 0.19/0.41 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(5,plain,
% 0.19/0.41 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.41 tff(6,plain,
% 0.19/0.41 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.41 tff(8,plain,
% 0.19/0.41 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.41 tff(9,plain,(
% 0.19/0.41 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[8])).
% 0.19/0.41 tff(10,plain,
% 0.19/0.41 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.41 tff(11,plain,
% 0.19/0.41 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.41 tff(12,plain,
% 0.19/0.41 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!40) | (~cowlThing(X!40))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(13,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.19/0.41 tff(14,plain,(~(cowlNothing(X!40) | (~cowlThing(X!40)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(15,plain,
% 0.19/0.41 ((cowlNothing(X!40) | (~cowlThing(X!40))) | cowlThing(X!40)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(16,plain,
% 0.19/0.41 (cowlThing(X!40)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.41 tff(17,plain,
% 0.19/0.41 ((cowlNothing(X!40) | (~cowlThing(X!40))) | (~cowlNothing(X!40))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(18,plain,
% 0.19/0.41 (~cowlNothing(X!40)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.19/0.41 tff(19,plain,
% 0.19/0.41 (^[X: $i] : refl((~((cC12(X) | cC2(X)) <=> cC14(X))) <=> (~((cC12(X) | cC2(X)) <=> cC14(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(20,plain,
% 0.19/0.41 (![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X))) <=> ![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.41 tff(21,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC12(X)) & (~cC2(X))) <=> (~(cC12(X) | cC2(X)))), ((cC14(X) <=> ((~cC12(X)) & (~cC2(X)))) <=> (cC14(X) <=> (~(cC12(X) | cC2(X)))))), rewrite((cC14(X) <=> (~(cC12(X) | cC2(X)))) <=> (~((cC12(X) | cC2(X)) <=> cC14(X)))), ((cC14(X) <=> ((~cC12(X)) & (~cC2(X)))) <=> (~((cC12(X) | cC2(X)) <=> cC14(X))))), rewrite((~((cC12(X) | cC2(X)) <=> cC14(X))) <=> (~((cC12(X) | cC2(X)) <=> cC14(X)))), ((cC14(X) <=> ((~cC12(X)) & (~cC2(X)))) <=> (~((cC12(X) | cC2(X)) <=> cC14(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(22,plain,
% 0.19/0.41 (![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X)))) <=> ![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[21])).
% 0.19/0.41 tff(23,plain,
% 0.19/0.41 (![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X)))) <=> ![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(24,axiom,(![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_24')).
% 0.19/0.41 tff(25,plain,
% 0.19/0.41 (![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.41 tff(26,plain,(
% 0.19/0.41 ![X: $i] : (cC14(X) <=> ((~cC12(X)) & (~cC2(X))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[25])).
% 0.19/0.41 tff(27,plain,
% 0.19/0.41 (![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.41 tff(28,plain,
% 0.19/0.41 (![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.19/0.41 tff(29,plain,
% 0.19/0.41 ((~![X: $i] : (~((cC12(X) | cC2(X)) <=> cC14(X)))) | (~((cC12(iV3102) | cC2(iV3102)) <=> cC14(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(30,plain,
% 0.19/0.41 (~((cC12(iV3102) | cC2(iV3102)) <=> cC14(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.19/0.41 tff(31,plain,
% 0.19/0.41 ((~cC2(iV3102)) <=> (~cC2(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(32,axiom,(~cC2(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_122')).
% 0.19/0.41 tff(33,plain,
% 0.19/0.41 (~cC2(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.41 tff(34,plain,
% 0.19/0.41 ((~cC12(iV3102)) <=> (~cC12(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(35,axiom,(~cC12(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_115')).
% 0.19/0.41 tff(36,plain,
% 0.19/0.41 (~cC12(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.41 tff(37,plain,
% 0.19/0.41 ((~(cC12(iV3102) | cC2(iV3102))) | cC12(iV3102) | cC2(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(38,plain,
% 0.19/0.41 (~(cC12(iV3102) | cC2(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[37, 36, 33])).
% 0.19/0.41 tff(39,plain,
% 0.19/0.41 (((cC12(iV3102) | cC2(iV3102)) <=> cC14(iV3102)) | (cC12(iV3102) | cC2(iV3102)) | cC14(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(40,plain,
% 0.19/0.41 (((cC12(iV3102) | cC2(iV3102)) <=> cC14(iV3102)) | cC14(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.19/0.41 tff(41,plain,
% 0.19/0.41 (cC14(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[40, 30])).
% 0.19/0.41 tff(42,plain,
% 0.19/0.41 (^[X: $i] : refl((~((cC62(X) | (~cTOP(X))) <=> cC64(X))) <=> (~((cC62(X) | (~cTOP(X))) <=> cC64(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(43,plain,
% 0.19/0.41 (![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X))) <=> ![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[42])).
% 0.19/0.41 tff(44,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC62(X)) & cTOP(X)) <=> (~(cC62(X) | (~cTOP(X))))), ((cC64(X) <=> ((~cC62(X)) & cTOP(X))) <=> (cC64(X) <=> (~(cC62(X) | (~cTOP(X))))))), rewrite((cC64(X) <=> (~(cC62(X) | (~cTOP(X))))) <=> (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))), ((cC64(X) <=> ((~cC62(X)) & cTOP(X))) <=> (~((cC62(X) | (~cTOP(X))) <=> cC64(X))))), rewrite((~((cC62(X) | (~cTOP(X))) <=> cC64(X))) <=> (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))), ((cC64(X) <=> ((~cC62(X)) & cTOP(X))) <=> (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(45,plain,
% 0.19/0.41 (![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X))) <=> ![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.41 tff(46,plain,
% 0.19/0.41 (![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X))) <=> ![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(47,axiom,(![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_88')).
% 0.19/0.41 tff(48,plain,
% 0.19/0.41 (![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.41 tff(49,plain,(
% 0.19/0.41 ![X: $i] : (cC64(X) <=> ((~cC62(X)) & cTOP(X)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[48])).
% 0.19/0.41 tff(50,plain,
% 0.19/0.41 (![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.19/0.41 tff(51,plain,
% 0.19/0.41 (![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.19/0.41 tff(52,plain,
% 0.19/0.41 ((~![X: $i] : (~((cC62(X) | (~cTOP(X))) <=> cC64(X)))) | (~((cC62(iV3102) | (~cTOP(iV3102))) <=> cC64(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(53,plain,
% 0.19/0.41 (~((cC62(iV3102) | (~cTOP(iV3102))) <=> cC64(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.19/0.41 tff(54,plain,
% 0.19/0.41 ((~cC62(iV3102)) <=> (~cC62(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(55,axiom,(~cC62(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_119')).
% 0.19/0.41 tff(56,plain,
% 0.19/0.41 (~cC62(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.19/0.41 tff(57,plain,
% 0.19/0.41 (cTOP(iV3102) <=> cTOP(iV3102)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(58,axiom,(cTOP(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_112')).
% 0.19/0.41 tff(59,plain,
% 0.19/0.41 (cTOP(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.19/0.41 tff(60,plain,
% 0.19/0.41 ((~(cC62(iV3102) | (~cTOP(iV3102)))) | cC62(iV3102) | (~cTOP(iV3102))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(61,plain,
% 0.19/0.41 (~(cC62(iV3102) | (~cTOP(iV3102)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[60, 59, 56])).
% 0.19/0.41 tff(62,plain,
% 0.19/0.41 (((cC62(iV3102) | (~cTOP(iV3102))) <=> cC64(iV3102)) | (cC62(iV3102) | (~cTOP(iV3102))) | cC64(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(63,plain,
% 0.19/0.41 (((cC62(iV3102) | (~cTOP(iV3102))) <=> cC64(iV3102)) | cC64(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.19/0.41 tff(64,plain,
% 0.19/0.41 (cC64(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[63, 53])).
% 0.19/0.41 tff(65,plain,
% 0.19/0.41 (^[X: $i] : refl((~((cC16(X) | cC26(X)) <=> cC28(X))) <=> (~((cC16(X) | cC26(X)) <=> cC28(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(66,plain,
% 0.19/0.41 (![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X))) <=> ![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[65])).
% 0.19/0.41 tff(67,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC26(X)) & (~cC16(X))) <=> (~(cC16(X) | cC26(X)))), ((cC28(X) <=> ((~cC26(X)) & (~cC16(X)))) <=> (cC28(X) <=> (~(cC16(X) | cC26(X)))))), rewrite((cC28(X) <=> (~(cC16(X) | cC26(X)))) <=> (~((cC16(X) | cC26(X)) <=> cC28(X)))), ((cC28(X) <=> ((~cC26(X)) & (~cC16(X)))) <=> (~((cC16(X) | cC26(X)) <=> cC28(X))))), rewrite((~((cC16(X) | cC26(X)) <=> cC28(X))) <=> (~((cC16(X) | cC26(X)) <=> cC28(X)))), ((cC28(X) <=> ((~cC26(X)) & (~cC16(X)))) <=> (~((cC16(X) | cC26(X)) <=> cC28(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(68,plain,
% 0.19/0.41 (![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X)))) <=> ![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[67])).
% 0.19/0.41 tff(69,plain,
% 0.19/0.41 (![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X)))) <=> ![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(70,axiom,(![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_69')).
% 0.19/0.41 tff(71,plain,
% 0.19/0.41 (![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.19/0.41 tff(72,plain,(
% 0.19/0.41 ![X: $i] : (cC28(X) <=> ((~cC26(X)) & (~cC16(X))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[71])).
% 0.19/0.41 tff(73,plain,
% 0.19/0.41 (![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.19/0.41 tff(74,plain,
% 0.19/0.41 (![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.19/0.41 tff(75,plain,
% 0.19/0.41 ((~![X: $i] : (~((cC16(X) | cC26(X)) <=> cC28(X)))) | (~((cC16(iV3102) | cC26(iV3102)) <=> cC28(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(76,plain,
% 0.19/0.41 (~((cC16(iV3102) | cC26(iV3102)) <=> cC28(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.19/0.41 tff(77,plain,
% 0.19/0.41 ((~cC16(iV3102)) <=> (~cC16(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(78,axiom,(~cC16(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_121')).
% 0.19/0.41 tff(79,plain,
% 0.19/0.41 (~cC16(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.19/0.41 tff(80,plain,
% 0.19/0.41 ((~cC26(iV3102)) <=> (~cC26(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(81,axiom,(~cC26(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_116')).
% 0.19/0.41 tff(82,plain,
% 0.19/0.41 (~cC26(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.19/0.41 tff(83,plain,
% 0.19/0.41 ((~(cC16(iV3102) | cC26(iV3102))) | cC16(iV3102) | cC26(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(84,plain,
% 0.19/0.41 (~(cC16(iV3102) | cC26(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[83, 82, 79])).
% 0.19/0.41 tff(85,plain,
% 0.19/0.41 (((cC16(iV3102) | cC26(iV3102)) <=> cC28(iV3102)) | (cC16(iV3102) | cC26(iV3102)) | cC28(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(86,plain,
% 0.19/0.41 (((cC16(iV3102) | cC26(iV3102)) <=> cC28(iV3102)) | cC28(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.19/0.41 tff(87,plain,
% 0.19/0.41 (cC28(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[86, 76])).
% 0.19/0.41 tff(88,plain,
% 0.19/0.41 (^[X: $i] : refl((~((cC32(X) | cC42(X)) <=> cC44(X))) <=> (~((cC32(X) | cC42(X)) <=> cC44(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(89,plain,
% 0.19/0.41 (![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X))) <=> ![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[88])).
% 0.19/0.41 tff(90,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC32(X)) & (~cC42(X))) <=> (~(cC32(X) | cC42(X)))), ((cC44(X) <=> ((~cC32(X)) & (~cC42(X)))) <=> (cC44(X) <=> (~(cC32(X) | cC42(X)))))), rewrite((cC44(X) <=> (~(cC32(X) | cC42(X)))) <=> (~((cC32(X) | cC42(X)) <=> cC44(X)))), ((cC44(X) <=> ((~cC32(X)) & (~cC42(X)))) <=> (~((cC32(X) | cC42(X)) <=> cC44(X))))), rewrite((~((cC32(X) | cC42(X)) <=> cC44(X))) <=> (~((cC32(X) | cC42(X)) <=> cC44(X)))), ((cC44(X) <=> ((~cC32(X)) & (~cC42(X)))) <=> (~((cC32(X) | cC42(X)) <=> cC44(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(91,plain,
% 0.19/0.41 (![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X)))) <=> ![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[90])).
% 0.19/0.41 tff(92,plain,
% 0.19/0.41 (![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X)))) <=> ![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(93,axiom,(![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_77')).
% 0.19/0.41 tff(94,plain,
% 0.19/0.41 (![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.19/0.41 tff(95,plain,(
% 0.19/0.41 ![X: $i] : (cC44(X) <=> ((~cC32(X)) & (~cC42(X))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[94])).
% 0.19/0.41 tff(96,plain,
% 0.19/0.41 (![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.19/0.41 tff(97,plain,
% 0.19/0.41 (![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.19/0.41 tff(98,plain,
% 0.19/0.41 ((~![X: $i] : (~((cC32(X) | cC42(X)) <=> cC44(X)))) | (~((cC32(iV3102) | cC42(iV3102)) <=> cC44(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(99,plain,
% 0.19/0.41 (~((cC32(iV3102) | cC42(iV3102)) <=> cC44(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.19/0.41 tff(100,plain,
% 0.19/0.41 ((~cC32(iV3102)) <=> (~cC32(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(101,axiom,(~cC32(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_123')).
% 0.19/0.41 tff(102,plain,
% 0.19/0.41 (~cC32(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.41 tff(103,plain,
% 0.19/0.41 ((~cC42(iV3102)) <=> (~cC42(iV3102))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(104,axiom,(~cC42(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_114')).
% 0.19/0.41 tff(105,plain,
% 0.19/0.41 (~cC42(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.19/0.41 tff(106,plain,
% 0.19/0.41 ((~(cC32(iV3102) | cC42(iV3102))) | cC32(iV3102) | cC42(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(107,plain,
% 0.19/0.41 (~(cC32(iV3102) | cC42(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[106, 105, 102])).
% 0.19/0.41 tff(108,plain,
% 0.19/0.41 (((cC32(iV3102) | cC42(iV3102)) <=> cC44(iV3102)) | (cC32(iV3102) | cC42(iV3102)) | cC44(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 (((cC32(iV3102) | cC42(iV3102)) <=> cC44(iV3102)) | cC44(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 (cC44(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[109, 99])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 (^[X: $i] : refl((~(((~cC14(X)) | (~cC28(X))) <=> cC30(X))) <=> (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(112,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.41 tff(113,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite((cC14(X) & cC28(X)) <=> (~((~cC14(X)) | (~cC28(X))))), ((cC30(X) <=> (cC14(X) & cC28(X))) <=> (cC30(X) <=> (~((~cC14(X)) | (~cC28(X))))))), rewrite((cC30(X) <=> (~((~cC14(X)) | (~cC28(X))))) <=> (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))), ((cC30(X) <=> (cC14(X) & cC28(X))) <=> (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X))))), rewrite((~(((~cC14(X)) | (~cC28(X))) <=> cC30(X))) <=> (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))), ((cC30(X) <=> (cC14(X) & cC28(X))) <=> (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(114,plain,
% 0.19/0.41 (![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[113])).
% 0.19/0.41 tff(115,plain,
% 0.19/0.41 (![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X))) <=> ![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(116,axiom,(![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_70')).
% 0.19/0.41 tff(117,plain,
% 0.19/0.41 (![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.19/0.41 tff(118,plain,(
% 0.19/0.41 ![X: $i] : (cC30(X) <=> (cC14(X) & cC28(X)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[117])).
% 0.19/0.41 tff(119,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.19/0.41 tff(120,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[119, 112])).
% 0.19/0.41 tff(121,plain,
% 0.19/0.41 ((~![X: $i] : (~(((~cC14(X)) | (~cC28(X))) <=> cC30(X)))) | (~(((~cC14(iV3102)) | (~cC28(iV3102))) <=> cC30(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(122,plain,
% 0.19/0.41 (~(((~cC14(iV3102)) | (~cC28(iV3102))) <=> cC30(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.19/0.41 tff(123,plain,
% 0.19/0.41 ((~((~cC14(iV3102)) | (~cC28(iV3102)))) | (~cC14(iV3102)) | (~cC28(iV3102))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(124,plain,
% 0.19/0.41 (~((~cC14(iV3102)) | (~cC28(iV3102)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[123, 87, 41])).
% 0.19/0.41 tff(125,plain,
% 0.19/0.41 ((((~cC14(iV3102)) | (~cC28(iV3102))) <=> cC30(iV3102)) | ((~cC14(iV3102)) | (~cC28(iV3102))) | cC30(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(126,plain,
% 0.19/0.41 ((((~cC14(iV3102)) | (~cC28(iV3102))) <=> cC30(iV3102)) | cC30(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.19/0.41 tff(127,plain,
% 0.19/0.41 (cC30(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[126, 122])).
% 0.19/0.41 tff(128,plain,
% 0.19/0.41 (^[X: $i] : refl((~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X))) <=> (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(129,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[128])).
% 0.19/0.41 tff(130,plain,
% 0.19/0.41 (^[X: $i] : trans(trans(monotonicity(rewrite((cC216(X) & cC46(X)) <=> (~((~cC216(X)) | (~cC46(X))))), ((cTEST(X) <=> (cC216(X) & cC46(X))) <=> (cTEST(X) <=> (~((~cC216(X)) | (~cC46(X))))))), rewrite((cTEST(X) <=> (~((~cC216(X)) | (~cC46(X))))) <=> (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC216(X) & cC46(X))) <=> (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X))))), rewrite((~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X))) <=> (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC216(X) & cC46(X))) <=> (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(131,plain,
% 0.19/0.41 (![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X))) <=> ![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[130])).
% 0.19/0.41 tff(132,plain,
% 0.19/0.41 (![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X))) <=> ![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(133,axiom,(![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_107')).
% 0.19/0.41 tff(134,plain,
% 0.19/0.41 (![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.19/0.41 tff(135,plain,(
% 0.19/0.41 ![X: $i] : (cTEST(X) <=> (cC216(X) & cC46(X)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[134])).
% 0.19/0.41 tff(136,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[135, 131])).
% 0.19/0.41 tff(137,plain,
% 0.19/0.41 (![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[136, 129])).
% 0.19/0.41 tff(138,plain,
% 0.19/0.41 ((~![X: $i] : (~(((~cC216(X)) | (~cC46(X))) <=> cTEST(X)))) | (~(((~cC216(iV3102)) | (~cC46(iV3102))) <=> cTEST(iV3102)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(139,plain,
% 0.19/0.41 (~(((~cC216(iV3102)) | (~cC46(iV3102))) <=> cTEST(iV3102))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.19/0.41 tff(140,plain,
% 0.19/0.41 (cTEST(iV3102) <=> cTEST(iV3102)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(141,axiom,(cTEST(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_108')).
% 0.19/0.41 tff(142,plain,
% 0.19/0.41 (cTEST(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.41 tff(143,plain,
% 0.19/0.41 ((((~cC216(iV3102)) | (~cC46(iV3102))) <=> cTEST(iV3102)) | (~((~cC216(iV3102)) | (~cC46(iV3102)))) | (~cTEST(iV3102))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(144,plain,
% 0.19/0.41 ((((~cC216(iV3102)) | (~cC46(iV3102))) <=> cTEST(iV3102)) | (~((~cC216(iV3102)) | (~cC46(iV3102))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.19/0.41 tff(145,plain,
% 0.19/0.41 (~((~cC216(iV3102)) | (~cC46(iV3102)))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[144, 139])).
% 0.19/0.41 tff(146,plain,
% 0.19/0.41 (((~cC216(iV3102)) | (~cC46(iV3102))) | cC46(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(147,plain,
% 0.19/0.41 (cC46(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.19/0.41 tff(148,plain,
% 0.19/0.41 (((~cC216(iV3102)) | (~cC46(iV3102))) | cC216(iV3102)),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(149,plain,
% 0.19/0.41 (cC216(iV3102)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[148, 145])).
% 0.19/0.41 tff(150,plain,
% 0.19/0.41 (cowlThing(iV3102) <=> cowlThing(iV3102)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(151,axiom,(cowlThing(iV3102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_109')).
% 0.19/0.41 tff(152,plain,
% 0.19/0.41 (cowlThing(iV3102)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.19/0.41 tff(153,plain,
% 0.19/0.41 (((cowlNothing(X!40) | (~cowlThing(X!40))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102))) <=> (cowlNothing(X!40) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102)) | (~cowlThing(X!40)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(154,plain,
% 0.19/0.41 ((~(~(cowlNothing(X!40) | (~cowlThing(X!40))))) <=> (cowlNothing(X!40) | (~cowlThing(X!40)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(155,plain,
% 0.19/0.41 ((cowlThing(X!40) & (~cowlNothing(X!40))) <=> (~(cowlNothing(X!40) | (~cowlThing(X!40))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(156,plain,
% 0.19/0.41 ((~(cowlThing(X!40) & (~cowlNothing(X!40)))) <=> (~(~(cowlNothing(X!40) | (~cowlThing(X!40)))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[155])).
% 0.19/0.42 tff(157,plain,
% 0.19/0.42 ((~(cowlThing(X!40) & (~cowlNothing(X!40)))) <=> (cowlNothing(X!40) | (~cowlThing(X!40)))),
% 0.19/0.42 inference(transitivity,[status(thm)],[156, 154])).
% 0.19/0.42 tff(158,plain,
% 0.19/0.42 (((~(cowlThing(X!40) & (~cowlNothing(X!40)))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102))) <=> ((cowlNothing(X!40) | (~cowlThing(X!40))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[157])).
% 0.19/0.42 tff(159,plain,
% 0.19/0.42 (((~(cowlThing(X!40) & (~cowlNothing(X!40)))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102))) <=> (cowlNothing(X!40) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102)) | (~cowlThing(X!40)))),
% 0.19/0.42 inference(transitivity,[status(thm)],[158, 153])).
% 0.19/0.42 tff(160,plain,
% 0.19/0.42 (((~(cowlThing(X!40) & (~cowlNothing(X!40)))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102))) <=> ((~(cowlThing(X!40) & (~cowlNothing(X!40)))) | (xsd_integer(X!41) <=> xsd_string(X!41)) | (~cC216(iV3102)) | (~cC46(iV3102)) | (~cC30(iV3102)) | (~cC44(iV3102)) | (~cC28(iV3102)) | (~cC64(iV3102)) | (~cC14(iV3102)) | (~cowlThing(iV3102)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(161,plain,
% 0.19/0.42 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(162,plain,
% 0.19/0.42 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[161])).
% 0.19/0.42 tff(163,plain,
% 0.19/0.42 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(164,plain,
% 0.19/0.42 ((~(((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC216(iV3102)) & cC46(iV3102)) & cC30(iV3102)) & cC44(iV3102)) & cC28(iV3102)) & cC64(iV3102)) & cC14(iV3102)) & cowlThing(iV3102))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(165,axiom,(~(((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC216(iV3102)) & cC46(iV3102)) & cC30(iV3102)) & cC44(iV3102)) & cC28(iV3102)) & cC64(iV3102)) & cC14(iV3102)) & cowlThing(iV3102))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.42 tff(166,plain,
% 0.19/0.42 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.19/0.42 tff(167,plain,
% 0.19/0.42 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[166, 162])).
% 0.19/0.42 tff(168,plain,
% 0.19/0.42 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.19/0.42 tff(169,plain,
% 0.19/0.42 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC216(iV3102) & cC46(iV3102) & cC30(iV3102) & cC44(iV3102) & cC28(iV3102) & cC64(iV3102) & cC14(iV3102) & cowlThing(iV3102))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[168, 162])).
% 0.19/0.42 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.42 (a!2 (not (and (cowlThing X!40) (not (cowlNothing X!40)))))
% 0.19/0.42 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.42 (a!5 (refl (~ (not (cC216 iV3102)) (not (cC216 iV3102)))))
% 0.19/0.42 (a!6 (refl (~ (not (cC46 iV3102)) (not (cC46 iV3102)))))
% 0.19/0.42 (a!7 (refl (~ (not (cC30 iV3102)) (not (cC30 iV3102)))))
% 0.19/0.42 (a!8 (refl (~ (not (cC44 iV3102)) (not (cC44 iV3102)))))
% 0.19/0.42 (a!9 (refl (~ (not (cC28 iV3102)) (not (cC28 iV3102)))))
% 0.19/0.42 (a!10 (refl (~ (not (cC64 iV3102)) (not (cC64 iV3102)))))
% 0.19/0.42 (a!11 (refl (~ (not (cC14 iV3102)) (not (cC14 iV3102)))))
% 0.19/0.42 (a!12 (refl (~ (not (cowlThing iV3102)) (not (cowlThing iV3102))))))
% 0.19/0.42 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!41) (xsd_string X!41)))))
% 0.19/0.42 (a!13 (~ (not (and a!1
% 0.19/0.42 a!3
% 0.19/0.42 (cC216 iV3102)
% 0.19/0.42 (cC46 iV3102)
% 0.19/0.42 (cC30 iV3102)
% 0.19/0.42 (cC44 iV3102)
% 0.19/0.42 (cC28 iV3102)
% 0.19/0.42 (cC64 iV3102)
% 0.19/0.42 (cC14 iV3102)
% 0.19/0.42 (cowlThing iV3102)))
% 0.19/0.42 (or a!2
% 0.19/0.42 (= (xsd_integer X!41) (xsd_string X!41))
% 0.19/0.42 (not (cC216 iV3102))
% 0.19/0.42 (not (cC46 iV3102))
% 0.19/0.42 (not (cC30 iV3102))
% 0.19/0.42 (not (cC44 iV3102))
% 0.19/0.42 (not (cC28 iV3102))
% 0.19/0.42 (not (cC64 iV3102))
% 0.19/0.42 (not (cC14 iV3102))
% 0.19/0.42 (not (cowlThing iV3102))))))
% 0.19/0.42 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6 a!7 a!8 a!9 a!10 a!11 a!12 a!13)))
% 0.19/0.42 Proof display could not be completed: unexpected number of arguments
% 0.19/0.43 % E exiting
%------------------------------------------------------------------------------