%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS139+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:13:28 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS139+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 19:11:57 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(xsd_string_type, type, (
% 0.11/0.37 xsd_string: $i > $o)).
% 0.11/0.37 tff(tptp_fun_X_1_type, type, (
% 0.11/0.37 tptp_fun_X_1: $i)).
% 0.11/0.37 tff(xsd_integer_type, type, (
% 0.11/0.37 xsd_integer: $i > $o)).
% 0.11/0.37 tff(cowlThing_type, type, (
% 0.11/0.37 cowlThing: $i > $o)).
% 0.11/0.37 tff(tptp_fun_X_0_type, type, (
% 0.11/0.37 tptp_fun_X_0: $i)).
% 0.11/0.37 tff(cowlNothing_type, type, (
% 0.11/0.37 cowlNothing: $i > $o)).
% 0.11/0.37 tff(rpath_type, type, (
% 0.11/0.37 rpath: ( $i * $i ) > $o)).
% 0.11/0.37 tff(iGhent_type, type, (
% 0.11/0.37 iGhent: $i)).
% 0.11/0.37 tff(iAntwerp_type, type, (
% 0.11/0.37 iAntwerp: $i)).
% 0.11/0.37 tff(1,assumption,(cowlNothing(X!0) | (~cowlThing(X!0))), introduced(assumption)).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.11/0.37 tff(9,plain,(
% 0.11/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.37 inference(skolemize,[status(sab)],[8])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 ($false),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.11/0.37 tff(14,plain,(~(cowlNothing(X!0) | (~cowlThing(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | cowlThing(X!0)),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (cowlThing(X!0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.11/0.37 inference(tautology,[status(thm)],[])).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 (~cowlNothing(X!0)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.11/0.37 tff(19,plain,
% 0.11/0.37 (rpath(iGhent, iAntwerp) <=> rpath(iGhent, iAntwerp)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(20,axiom,(rpath(iGhent, iAntwerp)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.11/0.37 tff(21,plain,
% 0.11/0.37 (rpath(iGhent, iAntwerp)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.11/0.37 tff(22,plain,
% 0.11/0.37 (^[X: $i, Y: $i] : refl(((~rpath(X, Y)) | rpath(Y, X)) <=> ((~rpath(X, Y)) | rpath(Y, X)))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(23,plain,
% 0.11/0.37 (![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X)) <=> ![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[22])).
% 0.11/0.37 tff(24,plain,
% 0.11/0.37 (![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X)) <=> ![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(25,plain,
% 0.11/0.37 (^[X: $i, Y: $i] : rewrite((rpath(X, Y) => rpath(Y, X)) <=> ((~rpath(X, Y)) | rpath(Y, X)))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(26,plain,
% 0.11/0.37 (![X: $i, Y: $i] : (rpath(X, Y) => rpath(Y, X)) <=> ![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[25])).
% 0.11/0.37 tff(27,axiom,(![X: $i, Y: $i] : (rpath(X, Y) => rpath(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.11/0.37 tff(28,plain,
% 0.11/0.37 (![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.11/0.37 tff(29,plain,
% 0.11/0.37 (![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.11/0.37 tff(30,plain,(
% 0.11/0.37 ![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(skolemize,[status(sab)],[29])).
% 0.11/0.37 tff(31,plain,
% 0.11/0.37 (![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[30, 23])).
% 0.11/0.37 tff(32,plain,
% 0.11/0.37 (((~![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))) | ((~rpath(iGhent, iAntwerp)) | rpath(iAntwerp, iGhent))) <=> ((~![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))) | (~rpath(iGhent, iAntwerp)) | rpath(iAntwerp, iGhent))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(33,plain,
% 0.11/0.37 ((~![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))) | ((~rpath(iGhent, iAntwerp)) | rpath(iAntwerp, iGhent))),
% 0.11/0.37 inference(quant_inst,[status(thm)],[])).
% 0.11/0.37 tff(34,plain,
% 0.11/0.37 ((~![X: $i, Y: $i] : ((~rpath(X, Y)) | rpath(Y, X))) | (~rpath(iGhent, iAntwerp)) | rpath(iAntwerp, iGhent)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.11/0.37 tff(35,plain,
% 0.11/0.37 (rpath(iAntwerp, iGhent)),
% 0.11/0.37 inference(unit_resolution,[status(thm)],[34, 31, 21])).
% 0.11/0.37 tff(36,plain,
% 0.11/0.37 (cowlThing(iGhent) <=> cowlThing(iGhent)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(37,axiom,(cowlThing(iGhent)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.11/0.37 tff(38,plain,
% 0.11/0.37 (cowlThing(iGhent)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.11/0.37 tff(39,plain,
% 0.11/0.37 (cowlThing(iAntwerp) <=> cowlThing(iAntwerp)),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(40,axiom,(cowlThing(iAntwerp)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.11/0.37 tff(41,plain,
% 0.11/0.37 (cowlThing(iAntwerp)),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.11/0.37 tff(42,plain,
% 0.11/0.37 (((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent)) | (~cowlThing(X!0)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(43,plain,
% 0.11/0.37 ((~(~(cowlNothing(X!0) | (~cowlThing(X!0))))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(44,plain,
% 0.11/0.37 ((cowlThing(X!0) & (~cowlNothing(X!0))) <=> (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(45,plain,
% 0.11/0.37 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (~(~(cowlNothing(X!0) | (~cowlThing(X!0)))))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[44])).
% 0.11/0.37 tff(46,plain,
% 0.11/0.37 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (cowlNothing(X!0) | (~cowlThing(X!0)))),
% 0.11/0.37 inference(transitivity,[status(thm)],[45, 43])).
% 0.11/0.37 tff(47,plain,
% 0.11/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent))) <=> ((cowlNothing(X!0) | (~cowlThing(X!0))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent)))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[46])).
% 0.11/0.37 tff(48,plain,
% 0.11/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent))) <=> (cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent)) | (~cowlThing(X!0)))),
% 0.11/0.37 inference(transitivity,[status(thm)],[47, 42])).
% 0.11/0.37 tff(49,plain,
% 0.11/0.37 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent))) <=> ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(iAntwerp)) | (~rpath(iAntwerp, iGhent)) | (~cowlThing(iGhent)))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(50,plain,
% 0.11/0.37 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(51,plain,
% 0.11/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent)))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[50])).
% 0.11/0.38 tff(52,plain,
% 0.11/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent)))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(53,plain,
% 0.11/0.38 ((~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iAntwerp)) & rpath(iAntwerp, iGhent)) & cowlThing(iGhent))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent)))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(54,axiom,(~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iAntwerp)) & rpath(iAntwerp, iGhent)) & cowlThing(iGhent))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.11/0.38 tff(55,plain,
% 0.11/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.11/0.38 tff(56,plain,
% 0.11/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.11/0.38 tff(57,plain,
% 0.11/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.11/0.38 tff(58,plain,
% 0.11/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iAntwerp) & rpath(iAntwerp, iGhent) & cowlThing(iGhent))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[57, 51])).
% 0.11/0.38 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.11/0.38 (a!2 (not (and (cowlThing X!0) (not (cowlNothing X!0)))))
% 0.11/0.38 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.11/0.38 (a!5 (refl (~ (not (cowlThing iAntwerp)) (not (cowlThing iAntwerp)))))
% 0.11/0.38 (a!6 (refl (~ (not (rpath iAntwerp iGhent)) (not (rpath iAntwerp iGhent)))))
% 0.11/0.38 (a!7 (refl (~ (not (cowlThing iGhent)) (not (cowlThing iGhent))))))
% 0.11/0.38 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!1) (xsd_string X!1)))))
% 0.11/0.38 (a!8 (~ (not (and a!1
% 0.11/0.38 a!3
% 0.11/0.38 (cowlThing iAntwerp)
% 0.11/0.38 (rpath iAntwerp iGhent)
% 0.11/0.38 (cowlThing iGhent)))
% 0.11/0.38 (or a!2
% 0.11/0.38 (= (xsd_integer X!1) (xsd_string X!1))
% 0.11/0.38 (not (cowlThing iAntwerp))
% 0.11/0.38 (not (rpath iAntwerp iGhent))
% 0.11/0.38 (not (cowlThing iGhent))))))
% 0.11/0.38 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6 a!7 a!8)))
% 0.11/0.38 Proof display could not be completed: unexpected number of arguments
% 0.11/0.38 % E exiting
%------------------------------------------------------------------------------