%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS164+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:13:30 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS164+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n003.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 19:12:09 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(xsd_string_type, type, (
% 0.12/0.37 xsd_string: $i > $o)).
% 0.12/0.37 tff(tptp_fun_X_1_type, type, (
% 0.12/0.37 tptp_fun_X_1: $i)).
% 0.12/0.37 tff(xsd_integer_type, type, (
% 0.12/0.37 xsd_integer: $i > $o)).
% 0.12/0.37 tff(cowlThing_type, type, (
% 0.12/0.37 cowlThing: $i > $o)).
% 0.12/0.37 tff(tptp_fun_X_0_type, type, (
% 0.12/0.37 tptp_fun_X_0: $i)).
% 0.12/0.37 tff(cowlNothing_type, type, (
% 0.12/0.37 cowlNothing: $i > $o)).
% 0.12/0.37 tff(cAutomobile_type, type, (
% 0.12/0.37 cAutomobile: $i > $o)).
% 0.12/0.37 tff(icar_type, type, (
% 0.12/0.37 icar: $i)).
% 0.12/0.37 tff(cCar_type, type, (
% 0.12/0.37 cCar: $i > $o)).
% 0.12/0.37 tff(iauto_type, type, (
% 0.12/0.37 iauto: $i)).
% 0.12/0.37 tff(1,assumption,(cowlNothing(X!0) | (~cowlThing(X!0))), introduced(assumption)).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.37 tff(9,plain,(
% 0.12/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[8])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.12/0.37 tff(14,plain,(~(cowlNothing(X!0) | (~cowlThing(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | cowlThing(X!0)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (cowlThing(X!0)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 (~cowlNothing(X!0)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 (^[X: $i] : refl((cCar(X) <=> cAutomobile(X)) <=> (cCar(X) <=> cAutomobile(X)))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (![X: $i] : (cCar(X) <=> cAutomobile(X)) <=> ![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[19])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (![X: $i] : (cCar(X) <=> cAutomobile(X)) <=> ![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(22,axiom,(![X: $i] : (cCar(X) <=> cAutomobile(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.37 tff(24,plain,(
% 0.12/0.37 ![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.12/0.37 inference(skolemize,[status(sab)],[23])).
% 0.12/0.37 tff(25,plain,
% 0.12/0.37 (![X: $i] : (cCar(X) <=> cAutomobile(X))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 ((~![X: $i] : (cCar(X) <=> cAutomobile(X))) | (cCar(icar) <=> cAutomobile(icar))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 (cCar(icar) <=> cAutomobile(icar)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 (cCar(icar) <=> cCar(icar)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(29,axiom,(cCar(icar)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (cCar(icar)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 ((~(cCar(icar) <=> cAutomobile(icar))) | (~cCar(icar)) | cAutomobile(icar)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(32,plain,
% 0.12/0.37 ((~(cCar(icar) <=> cAutomobile(icar))) | cAutomobile(icar)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.12/0.37 tff(33,plain,
% 0.12/0.37 (cAutomobile(icar)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[32, 27])).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 ((~![X: $i] : (cCar(X) <=> cAutomobile(X))) | (cCar(iauto) <=> cAutomobile(iauto))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(35,plain,
% 0.12/0.37 (cCar(iauto) <=> cAutomobile(iauto)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[34, 25])).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 (cAutomobile(iauto) <=> cAutomobile(iauto)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(37,axiom,(cAutomobile(iauto)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 (cAutomobile(iauto)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 ((~(cCar(iauto) <=> cAutomobile(iauto))) | cCar(iauto) | (~cAutomobile(iauto))),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(40,plain,
% 0.12/0.37 ((~(cCar(iauto) <=> cAutomobile(iauto))) | cCar(iauto)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.12/0.37 tff(41,plain,
% 0.12/0.37 (cCar(iauto)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[40, 35])).
% 0.12/0.37 tff(42,plain,
% 0.12/0.37 (cowlThing(icar) <=> cowlThing(icar)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(43,axiom,(cowlThing(icar)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 0.12/0.37 tff(44,plain,
% 0.12/0.37 (cowlThing(icar)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.12/0.37 tff(45,plain,
% 0.12/0.37 (cowlThing(iauto) <=> cowlThing(iauto)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(46,axiom,(cowlThing(iauto)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
% 0.12/0.37 tff(47,plain,
% 0.12/0.37 (cowlThing(iauto)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.12/0.37 tff(48,plain,
% 0.12/0.37 (((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar)) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(49,plain,
% 0.12/0.37 ((~(~(cowlNothing(X!0) | (~cowlThing(X!0))))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(50,plain,
% 0.12/0.37 ((cowlThing(X!0) & (~cowlNothing(X!0))) <=> (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(51,plain,
% 0.12/0.37 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (~(~(cowlNothing(X!0) | (~cowlThing(X!0)))))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[50])).
% 0.12/0.37 tff(52,plain,
% 0.12/0.37 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(transitivity,[status(thm)],[51, 49])).
% 0.12/0.37 tff(53,plain,
% 0.12/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar))) <=> ((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar)))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[52])).
% 0.12/0.37 tff(54,plain,
% 0.12/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar)) | (~cowlThing(X!0)))),
% 0.12/0.37 inference(transitivity,[status(thm)],[53, 48])).
% 0.12/0.37 tff(55,plain,
% 0.12/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cCar(iauto)) | (~cowlThing(iauto)) | (~cAutomobile(icar)) | (~cowlThing(icar)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(57,plain,
% 0.12/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar)))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[56])).
% 0.12/0.38 tff(58,plain,
% 0.12/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 ((~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cCar(iauto)) & cowlThing(iauto)) & cAutomobile(icar)) & cowlThing(icar))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(60,axiom,(~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cCar(iauto)) & cowlThing(iauto)) & cAutomobile(icar)) & cowlThing(icar))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.12/0.38 tff(61,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.12/0.38 tff(64,plain,
% 0.12/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cCar(iauto) & cowlThing(iauto) & cAutomobile(icar) & cowlThing(icar))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[63, 57])).
% 0.12/0.38 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.12/0.38 (a!2 (not (and (cowlThing X!0) (not (cowlNothing X!0)))))
% 0.12/0.38 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.12/0.38 (a!5 (refl (~ (not (cCar iauto)) (not (cCar iauto)))))
% 0.12/0.38 (a!6 (refl (~ (not (cowlThing iauto)) (not (cowlThing iauto)))))
% 0.12/0.38 (a!7 (refl (~ (not (cAutomobile icar)) (not (cAutomobile icar)))))
% 0.12/0.38 (a!8 (refl (~ (not (cowlThing icar)) (not (cowlThing icar))))))
% 0.12/0.38 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!1) (xsd_string X!1)))))
% 0.12/0.38 (a!9 (~ (not (and a!1
% 0.12/0.38 a!3
% 0.12/0.38 (cCar iauto)
% 0.12/0.38 (cowlThing iauto)
% 0.12/0.38 (cAutomobile icar)
% 0.12/0.38 (cowlThing icar)))
% 0.12/0.38 (or a!2
% 0.12/0.38 (= (xsd_integer X!1) (xsd_string X!1))
% 0.12/0.38 (not (cCar iauto))
% 0.12/0.38 (not (cowlThing iauto))
% 0.12/0.38 (not (cAutomobile icar))
% 0.12/0.38 (not (cowlThing icar))))))
% 0.12/0.38 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6 a!7 a!8 a!9)))
% 0.12/0.38 Proof display could not be completed: unexpected number of arguments
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------