%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS163+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 05:13:30 AM UTC 2025
% Result : Theorem 0.19s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS163+1 : TPTP v9.0.0. Released v3.1.0.
% 0.00/0.12 % 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 19:12:11 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 tff(xsd_string_type, type, (
% 0.19/0.36 xsd_string: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_1_type, type, (
% 0.19/0.36 tptp_fun_X_1: $i)).
% 0.19/0.36 tff(xsd_integer_type, type, (
% 0.19/0.36 xsd_integer: $i > $o)).
% 0.19/0.36 tff(cowlThing_type, type, (
% 0.19/0.36 cowlThing: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_0_type, type, (
% 0.19/0.36 tptp_fun_X_0: $i)).
% 0.19/0.36 tff(cowlNothing_type, type, (
% 0.19/0.36 cowlNothing: $i > $o)).
% 0.19/0.36 tff(ib_type, type, (
% 0.19/0.36 ib: $i)).
% 0.19/0.36 tff(ia_type, type, (
% 0.19/0.36 ia: $i)).
% 0.19/0.36 tff(cA_type, type, (
% 0.19/0.36 cA: $i > $o)).
% 0.19/0.36 tff(cB_type, type, (
% 0.19/0.36 cB: $i > $o)).
% 0.19/0.36 tff(1,assumption,(cowlNothing(X!0) | (~cowlThing(X!0))), introduced(assumption)).
% 0.19/0.36 tff(2,plain,
% 0.19/0.36 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(3,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.36 tff(4,plain,
% 0.19/0.36 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(5,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.36 tff(6,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.36 tff(8,plain,
% 0.19/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.36 tff(9,plain,(
% 0.19/0.36 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.36 inference(skolemize,[status(sab)],[8])).
% 0.19/0.36 tff(10,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.36 tff(11,plain,
% 0.19/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.36 tff(12,plain,
% 0.19/0.36 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!0) | (~cowlThing(X!0))))),
% 0.19/0.36 inference(quant_inst,[status(thm)],[])).
% 0.19/0.36 tff(13,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.19/0.36 tff(14,plain,(~(cowlNothing(X!0) | (~cowlThing(X!0)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(15,plain,
% 0.19/0.36 ((cowlNothing(X!0) | (~cowlThing(X!0))) | cowlThing(X!0)),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(16,plain,
% 0.19/0.36 (cowlThing(X!0)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.36 tff(17,plain,
% 0.19/0.36 ((cowlNothing(X!0) | (~cowlThing(X!0))) | (~cowlNothing(X!0))),
% 0.19/0.36 inference(tautology,[status(thm)],[])).
% 0.19/0.36 tff(18,plain,
% 0.19/0.36 (~cowlNothing(X!0)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.19/0.36 tff(19,assumption,(ia = ib), introduced(assumption)).
% 0.19/0.36 tff(20,plain,
% 0.19/0.36 (cA(ia) <=> cA(ib)),
% 0.19/0.36 inference(monotonicity,[status(thm)],[19])).
% 0.19/0.36 tff(21,plain,
% 0.19/0.36 (cA(ib) <=> cA(ia)),
% 0.19/0.36 inference(symmetry,[status(thm)],[20])).
% 0.19/0.36 tff(22,plain,
% 0.19/0.36 ((~cA(ib)) <=> (~cA(ia))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[21])).
% 0.19/0.36 tff(23,plain,
% 0.19/0.36 (^[X: $i] : refl(((~cB(X)) | (~cA(X))) <=> ((~cB(X)) | (~cA(X))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(24,plain,
% 0.19/0.36 (![X: $i] : ((~cB(X)) | (~cA(X))) <=> ![X: $i] : ((~cB(X)) | (~cA(X)))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[23])).
% 0.19/0.36 tff(25,plain,
% 0.19/0.36 (^[X: $i] : trans(monotonicity(rewrite((cB(X) & cA(X)) <=> (~((~cB(X)) | (~cA(X))))), ((~(cB(X) & cA(X))) <=> (~(~((~cB(X)) | (~cA(X))))))), rewrite((~(~((~cB(X)) | (~cA(X))))) <=> ((~cB(X)) | (~cA(X)))), ((~(cB(X) & cA(X))) <=> ((~cB(X)) | (~cA(X)))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(26,plain,
% 0.19/0.36 (![X: $i] : (~(cB(X) & cA(X))) <=> ![X: $i] : ((~cB(X)) | (~cA(X)))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[25])).
% 0.19/0.36 tff(27,plain,
% 0.19/0.36 (![X: $i] : (~(cB(X) & cA(X))) <=> ![X: $i] : (~(cB(X) & cA(X)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(28,axiom,(![X: $i] : (~(cB(X) & cA(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.19/0.36 tff(29,plain,
% 0.19/0.36 (![X: $i] : (~(cB(X) & cA(X)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.19/0.36 tff(30,plain,(
% 0.19/0.36 ![X: $i] : (~(cB(X) & cA(X)))),
% 0.19/0.36 inference(skolemize,[status(sab)],[29])).
% 0.19/0.36 tff(31,plain,
% 0.19/0.36 (![X: $i] : ((~cB(X)) | (~cA(X)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.19/0.36 tff(32,plain,
% 0.19/0.36 (![X: $i] : ((~cB(X)) | (~cA(X)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.19/0.36 tff(33,plain,
% 0.19/0.36 (cB(ib) <=> cB(ib)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(34,axiom,(cB(ib)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.19/0.36 tff(35,plain,
% 0.19/0.36 (cB(ib)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.19/0.36 tff(36,plain,
% 0.19/0.36 (((~![X: $i] : ((~cB(X)) | (~cA(X)))) | ((~cB(ib)) | (~cA(ib)))) <=> ((~![X: $i] : ((~cB(X)) | (~cA(X)))) | (~cB(ib)) | (~cA(ib)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(37,plain,
% 0.19/0.36 ((~![X: $i] : ((~cB(X)) | (~cA(X)))) | ((~cB(ib)) | (~cA(ib)))),
% 0.19/0.36 inference(quant_inst,[status(thm)],[])).
% 0.19/0.36 tff(38,plain,
% 0.19/0.36 ((~![X: $i] : ((~cB(X)) | (~cA(X)))) | (~cB(ib)) | (~cA(ib))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.19/0.36 tff(39,plain,
% 0.19/0.36 (~cA(ib)),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[38, 35, 32])).
% 0.19/0.36 tff(40,plain,
% 0.19/0.36 (~cA(ia)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[39, 22])).
% 0.19/0.36 tff(41,plain,
% 0.19/0.36 (cA(ia) <=> cA(ia)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(42,axiom,(cA(ia)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.19/0.36 tff(43,plain,
% 0.19/0.36 (cA(ia)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.19/0.36 tff(44,plain,
% 0.19/0.36 ($false),
% 0.19/0.36 inference(unit_resolution,[status(thm)],[43, 40])).
% 0.19/0.36 tff(45,plain,(~(ia = ib)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.36 tff(46,plain,
% 0.19/0.36 (cowlThing(ib) <=> cowlThing(ib)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(47,axiom,(cowlThing(ib)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.19/0.36 tff(48,plain,
% 0.19/0.36 (cowlThing(ib)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.36 tff(49,plain,
% 0.19/0.36 (cowlThing(ia) <=> cowlThing(ia)),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(50,axiom,(cowlThing(ia)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.19/0.36 tff(51,plain,
% 0.19/0.36 (cowlThing(ia)),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.19/0.36 tff(52,plain,
% 0.19/0.36 (((ia = ib) | (~cowlThing(ia)) | (~cowlThing(ib)) | ((~cowlThing(X!0)) | cowlNothing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1))) <=> ((ia = ib) | (~cowlThing(ia)) | (~cowlThing(X!0)) | (~cowlThing(ib)) | cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(53,plain,
% 0.19/0.36 ((~(~((~cowlThing(X!0)) | cowlNothing(X!0)))) <=> ((~cowlThing(X!0)) | cowlNothing(X!0))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(54,plain,
% 0.19/0.36 ((cowlThing(X!0) & (~cowlNothing(X!0))) <=> (~((~cowlThing(X!0)) | cowlNothing(X!0)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(55,plain,
% 0.19/0.36 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> (~(~((~cowlThing(X!0)) | cowlNothing(X!0))))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[54])).
% 0.19/0.36 tff(56,plain,
% 0.19/0.36 ((~(cowlThing(X!0) & (~cowlNothing(X!0)))) <=> ((~cowlThing(X!0)) | cowlNothing(X!0))),
% 0.19/0.36 inference(transitivity,[status(thm)],[55, 53])).
% 0.19/0.36 tff(57,plain,
% 0.19/0.36 (((ia = ib) | (~cowlThing(ia)) | (~cowlThing(ib)) | (~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1))) <=> ((ia = ib) | (~cowlThing(ia)) | (~cowlThing(ib)) | ((~cowlThing(X!0)) | cowlNothing(X!0)) | (xsd_integer(X!1) <=> xsd_string(X!1)))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[56])).
% 0.19/0.36 tff(58,plain,
% 0.19/0.36 (((ia = ib) | (~cowlThing(ia)) | (~cowlThing(ib)) | (~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1))) <=> ((ia = ib) | (~cowlThing(ia)) | (~cowlThing(X!0)) | (~cowlThing(ib)) | cowlNothing(X!0) | (xsd_integer(X!1) <=> xsd_string(X!1)))),
% 0.19/0.36 inference(transitivity,[status(thm)],[57, 52])).
% 0.19/0.36 tff(59,plain,
% 0.19/0.36 (((~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)) | (~cowlThing(ia)) | (~cowlThing(ib)) | (ia = ib)) <=> ((ia = ib) | (~cowlThing(ia)) | (~cowlThing(ib)) | (~(cowlThing(X!0) & (~cowlNothing(X!0)))) | (xsd_integer(X!1) <=> xsd_string(X!1)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(60,plain,
% 0.19/0.36 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(61,plain,
% 0.19/0.36 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib))))),
% 0.19/0.36 inference(monotonicity,[status(thm)],[60])).
% 0.19/0.36 tff(62,plain,
% 0.19/0.36 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib))))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(63,plain,
% 0.19/0.36 ((~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(ia)) & cowlThing(ib)) & (~(ia = ib)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib))))),
% 0.19/0.36 inference(rewrite,[status(thm)],[])).
% 0.19/0.36 tff(64,axiom,(~((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(ia)) & cowlThing(ib)) & (~(ia = ib)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.36 tff(65,plain,
% 0.19/0.36 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.19/0.36 tff(66,plain,
% 0.19/0.36 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.19/0.36 tff(67,plain,
% 0.19/0.36 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.19/0.36 tff(68,plain,
% 0.19/0.36 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(ia) & cowlThing(ib) & (~(ia = ib)))),
% 0.19/0.36 inference(modus_ponens,[status(thm)],[67, 61])).
% 0.19/0.36 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.36 (a!2 (not (and (cowlThing X!0) (not (cowlNothing X!0)))))
% 0.19/0.36 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.36 (a!5 (refl (~ (not (cowlThing ia)) (not (cowlThing ia)))))
% 0.19/0.36 (a!6 (refl (~ (not (cowlThing ib)) (not (cowlThing ib))))))
% 0.19/0.36 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!1) (xsd_string X!1)))))
% 0.19/0.36 (a!7 (not (and a!1 a!3 (cowlThing ia) (cowlThing ib) (not (= ia ib))))))
% 0.19/0.36 (let ((a!8 (~ a!7
% 0.19/0.36 (or a!2
% 0.19/0.36 (= (xsd_integer X!1) (xsd_string X!1))
% 0.19/0.36 (not (cowlThing ia))
% 0.19/0.36 (not (cowlThing ib))
% 0.19/0.36 (= ia ib)))))
% 0.19/0.36 (nnf-neg (sk (~ (not a!1) a!2))
% 0.19/0.36 a!4
% 0.19/0.36 a!5
% 0.19/0.36 a!6
% 0.19/0.36 (refl (~ (= ia ib) (= ia ib)))
% 0.19/0.36 a!8))))
% 0.19/0.36 Proof display could not be completed: unexpected number of arguments
% 0.19/0.36 % E exiting
%------------------------------------------------------------------------------