%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS129+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:13:27 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS129+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 19:15:34 EDT 2025
% 0.12/0.33 % 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_2_type, type, (
% 0.12/0.37 tptp_fun_X_2: $i)).
% 0.12/0.37 tff(xsd_integer_type, type, (
% 0.12/0.37 xsd_integer: $i > $o)).
% 0.12/0.37 tff(cowlNothing_type, type, (
% 0.12/0.37 cowlNothing: $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(cowlThing_type, type, (
% 0.12/0.37 cowlThing: $i > $o)).
% 0.12/0.37 tff(cEuroMP_type, type, (
% 0.12/0.37 cEuroMP: $i > $o)).
% 0.12/0.37 tff(iKinnock_type, type, (
% 0.12/0.37 iKinnock: $i)).
% 0.12/0.37 tff(risEuroMPFrom_type, type, (
% 0.12/0.37 risEuroMPFrom: ( $i * $i ) > $o)).
% 0.12/0.37 tff(tptp_fun_Y_0_type, type, (
% 0.12/0.37 tptp_fun_Y_0: $i > $i)).
% 0.12/0.37 tff(iUK_type, type, (
% 0.12/0.37 iUK: $i)).
% 0.12/0.37 tff(rhasEuroMP_type, type, (
% 0.12/0.37 rhasEuroMP: ( $i * $i ) > $o)).
% 0.12/0.37 tff(1,assumption,(xsd_integer(X!2) <=> xsd_string(X!2)), introduced(assumption)).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 (^[X: $i] : refl((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (^[X: $i] : trans(rewrite((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), rewrite((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), ((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[5])).
% 0.12/0.37 tff(7,axiom,(![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_1')).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(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] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.12/0.37 tff(10,plain,(
% 0.12/0.37 ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[9])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 ((~![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))) | (~(xsd_integer(X!2) <=> xsd_string(X!2)))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.12/0.37 tff(14,plain,(~(xsd_integer(X!2) <=> xsd_string(X!2))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(15,assumption,(cowlNothing(X!1) | (~cowlThing(X!1))), introduced(assumption)).
% 0.12/0.37 tff(16,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(17,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)],[16])).
% 0.12/0.37 tff(18,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(19,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)],[18])).
% 0.12/0.37 tff(20,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(21,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.12/0.37 tff(23,plain,(
% 0.12/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.37 inference(skolemize,[status(sab)],[22])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.12/0.37 tff(25,plain,
% 0.12/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!1) | (~cowlThing(X!1))))),
% 0.12/0.37 inference(quant_inst,[status(thm)],[])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[26, 25, 15])).
% 0.12/0.37 tff(28,plain,(~(cowlNothing(X!1) | (~cowlThing(X!1)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 ((cowlNothing(X!1) | (~cowlThing(X!1))) | (~cowlNothing(X!1))),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (~cowlNothing(X!1)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 ((cowlNothing(X!1) | (~cowlThing(X!1))) | cowlThing(X!1)),
% 0.12/0.37 inference(tautology,[status(thm)],[])).
% 0.12/0.37 tff(32,plain,
% 0.12/0.37 (cowlThing(X!1)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.12/0.37 tff(33,assumption,((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock)))))))), introduced(assumption)).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 (^[X: $i] : refl((~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))) <=> (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(35,plain,
% 0.12/0.37 (![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 (^[X: $i] : rewrite((~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))) <=> (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))))),
% 0.12/0.37 inference(bind,[status(th)],[])).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 (![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.37 inference(quant_intro,[status(thm)],[36])).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 (![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))) <=> ![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.37 inference(transitivity,[status(thm)],[37, 35])).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 (^[X: $i] : trans(monotonicity(rewrite(((~cEuroMP(X)) | (risEuroMPFrom(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) <=> ((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))), rewrite((cEuroMP(X) | ![Y: $i] : (~(risEuroMPFrom(X, Y) & cowlThing(Y)))) <=> (cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))), ((((~cEuroMP(X)) | (risEuroMPFrom(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cEuroMP(X) | ![Y: $i] : (~(risEuroMPFrom(X, Y) & cowlThing(Y))))) <=> (((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X)))))) & (cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))))), rewrite((((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X)))))) & (cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y))))) <=> (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))), ((((~cEuroMP(X)) | (risEuroMPFrom(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cEuroMP(X) | ![Y: $i] : (~(risEuroMPFrom(X, Y) & cowlThing(Y))))) <=> (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 (![X: $i] : (((~cEuroMP(X)) | (risEuroMPFrom(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cEuroMP(X) | ![Y: $i] : (~(risEuroMPFrom(X, Y) & cowlThing(Y))))) <=> ![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[39])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 (![X: $i] : (cEuroMP(X) <=> ?[Y: $i] : (risEuroMPFrom(X, Y) & cowlThing(Y))) <=> ![X: $i] : (cEuroMP(X) <=> ?[Y: $i] : (risEuroMPFrom(X, Y) & cowlThing(Y)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(42,axiom,(![X: $i] : (cEuroMP(X) <=> ?[Y: $i] : (risEuroMPFrom(X, Y) & cowlThing(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (![X: $i] : (cEuroMP(X) <=> ?[Y: $i] : (risEuroMPFrom(X, Y) & cowlThing(Y)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.12/0.38 tff(44,plain,(
% 0.12/0.38 ![X: $i] : (((~cEuroMP(X)) | (risEuroMPFrom(X, tptp_fun_Y_0(X)) & cowlThing(tptp_fun_Y_0(X)))) & (cEuroMP(X) | ![Y: $i] : (~(risEuroMPFrom(X, Y) & cowlThing(Y)))))),
% 0.12/0.38 inference(skolemize,[status(sab)],[43])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 (![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 (![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.12/0.38 tff(47,plain,
% 0.12/0.38 (((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock)))))))))) <=> ((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(48,plain,
% 0.12/0.38 ((~((~((~cEuroMP(iKinnock)) | (~((~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))) | (~cowlThing(tptp_fun_Y_0(iKinnock))))))) | (~(cEuroMP(iKinnock) | ![Y: $i] : ((~risEuroMPFrom(iKinnock, Y)) | (~cowlThing(Y))))))) <=> (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock)))))))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(49,plain,
% 0.12/0.38 (((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cEuroMP(iKinnock)) | (~((~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))) | (~cowlThing(tptp_fun_Y_0(iKinnock))))))) | (~(cEuroMP(iKinnock) | ![Y: $i] : ((~risEuroMPFrom(iKinnock, Y)) | (~cowlThing(Y)))))))) <=> ((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))))))))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[48])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 (((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cEuroMP(iKinnock)) | (~((~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))) | (~cowlThing(tptp_fun_Y_0(iKinnock))))))) | (~(cEuroMP(iKinnock) | ![Y: $i] : ((~risEuroMPFrom(iKinnock, Y)) | (~cowlThing(Y)))))))) <=> ((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))))))))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[49, 47])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 ((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~((~cEuroMP(iKinnock)) | (~((~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))) | (~cowlThing(tptp_fun_Y_0(iKinnock))))))) | (~(cEuroMP(iKinnock) | ![Y: $i] : ((~risEuroMPFrom(iKinnock, Y)) | (~cowlThing(Y)))))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(52,plain,
% 0.12/0.38 ((~![X: $i] : (~((~((~cEuroMP(X)) | (~((~risEuroMPFrom(X, tptp_fun_Y_0(X))) | (~cowlThing(tptp_fun_Y_0(X))))))) | (~(cEuroMP(X) | ![Y: $i] : ((~risEuroMPFrom(X, Y)) | (~cowlThing(Y)))))))) | (~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock)))))))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[52, 46, 33])).
% 0.12/0.38 tff(54,plain,(~((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock))))))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(55,plain,
% 0.12/0.38 (((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | (~((~cEuroMP(iKinnock)) | (~((~cowlThing(tptp_fun_Y_0(iKinnock))) | (~risEuroMPFrom(iKinnock, tptp_fun_Y_0(iKinnock)))))))) | (cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 (cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.12/0.38 tff(57,assumption,(![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))), introduced(assumption)).
% 0.12/0.38 tff(58,assumption,(cowlNothing(iUK) | (~cowlThing(iUK))), introduced(assumption)).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(iUK) | (~cowlThing(iUK))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[59, 25, 58])).
% 0.12/0.38 tff(61,plain,(~(cowlNothing(iUK) | (~cowlThing(iUK)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 ((cowlNothing(iUK) | (~cowlThing(iUK))) | cowlThing(iUK)),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 (cowlThing(iUK)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.12/0.38 tff(64,plain,
% 0.12/0.38 (^[X: $i, Y: $i] : refl((risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X)) <=> (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X)))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(65,plain,
% 0.12/0.38 (![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X)) <=> ![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[64])).
% 0.12/0.38 tff(66,plain,
% 0.12/0.38 (![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X)) <=> ![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(67,axiom,(![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.12/0.38 tff(68,plain,
% 0.12/0.38 (![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.12/0.38 tff(69,plain,(
% 0.12/0.38 ![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))),
% 0.12/0.38 inference(skolemize,[status(sab)],[68])).
% 0.12/0.38 tff(70,plain,
% 0.12/0.38 (![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.12/0.38 tff(71,plain,
% 0.12/0.38 ((~![X: $i, Y: $i] : (risEuroMPFrom(X, Y) <=> rhasEuroMP(Y, X))) | (risEuroMPFrom(iKinnock, iUK) <=> rhasEuroMP(iUK, iKinnock))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(72,plain,
% 0.12/0.38 (risEuroMPFrom(iKinnock, iUK) <=> rhasEuroMP(iUK, iKinnock)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[71, 70])).
% 0.12/0.38 tff(73,plain,
% 0.12/0.38 (rhasEuroMP(iUK, iKinnock) <=> rhasEuroMP(iUK, iKinnock)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(74,axiom,(rhasEuroMP(iUK, iKinnock)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_13')).
% 0.12/0.38 tff(75,plain,
% 0.12/0.38 (rhasEuroMP(iUK, iKinnock)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.12/0.38 tff(76,plain,
% 0.12/0.38 ((~(risEuroMPFrom(iKinnock, iUK) <=> rhasEuroMP(iUK, iKinnock))) | risEuroMPFrom(iKinnock, iUK) | (~rhasEuroMP(iUK, iKinnock))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(77,plain,
% 0.12/0.38 ((~(risEuroMPFrom(iKinnock, iUK) <=> rhasEuroMP(iUK, iKinnock))) | risEuroMPFrom(iKinnock, iUK)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.12/0.38 tff(78,plain,
% 0.12/0.38 (risEuroMPFrom(iKinnock, iUK)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[77, 72])).
% 0.12/0.38 tff(79,plain,
% 0.12/0.38 (((~![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))) | ((~cowlThing(iUK)) | (~risEuroMPFrom(iKinnock, iUK)))) <=> ((~![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))) | (~cowlThing(iUK)) | (~risEuroMPFrom(iKinnock, iUK)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(80,plain,
% 0.12/0.38 ((~![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))) | ((~cowlThing(iUK)) | (~risEuroMPFrom(iKinnock, iUK)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(81,plain,
% 0.12/0.38 ((~![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))) | (~cowlThing(iUK)) | (~risEuroMPFrom(iKinnock, iUK))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.38 tff(82,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[81, 78, 63, 57])).
% 0.12/0.38 tff(83,plain,(~![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(84,plain,
% 0.12/0.38 ((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y)))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(85,plain,
% 0.12/0.38 ((~(cEuroMP(iKinnock) | ![Y: $i] : ((~cowlThing(Y)) | (~risEuroMPFrom(iKinnock, Y))))) | cEuroMP(iKinnock)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.12/0.38 tff(86,plain,
% 0.12/0.38 (cEuroMP(iKinnock)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[85, 56])).
% 0.12/0.38 tff(87,plain,
% 0.12/0.38 ((((~cowlThing(X!1)) | cowlNothing(X!1)) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock))) <=> ((~cowlThing(X!1)) | cowlNothing(X!1) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(88,plain,
% 0.12/0.38 ((~(~((~cowlThing(X!1)) | cowlNothing(X!1)))) <=> ((~cowlThing(X!1)) | cowlNothing(X!1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(89,plain,
% 0.12/0.38 ((cowlThing(X!1) & (~cowlNothing(X!1))) <=> (~((~cowlThing(X!1)) | cowlNothing(X!1)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(90,plain,
% 0.19/0.38 ((~(cowlThing(X!1) & (~cowlNothing(X!1)))) <=> (~(~((~cowlThing(X!1)) | cowlNothing(X!1))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[89])).
% 0.19/0.38 tff(91,plain,
% 0.19/0.38 ((~(cowlThing(X!1) & (~cowlNothing(X!1)))) <=> ((~cowlThing(X!1)) | cowlNothing(X!1))),
% 0.19/0.38 inference(transitivity,[status(thm)],[90, 88])).
% 0.19/0.38 tff(92,plain,
% 0.19/0.38 (((~(cowlThing(X!1) & (~cowlNothing(X!1)))) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock))) <=> (((~cowlThing(X!1)) | cowlNothing(X!1)) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock)))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[91])).
% 0.19/0.38 tff(93,plain,
% 0.19/0.38 (((~(cowlThing(X!1) & (~cowlNothing(X!1)))) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock))) <=> ((~cowlThing(X!1)) | cowlNothing(X!1) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock)))),
% 0.19/0.38 inference(transitivity,[status(thm)],[92, 87])).
% 0.19/0.38 tff(94,plain,
% 0.19/0.38 (((~(cowlThing(X!1) & (~cowlNothing(X!1)))) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock))) <=> ((~(cowlThing(X!1) & (~cowlNothing(X!1)))) | (xsd_integer(X!2) <=> xsd_string(X!2)) | (~cEuroMP(iKinnock)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(95,plain,
% 0.19/0.38 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(96,plain,
% 0.19/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock)))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[95])).
% 0.19/0.38 tff(97,plain,
% 0.19/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(98,plain,
% 0.19/0.38 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cEuroMP(iKinnock))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(99,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cEuroMP(iKinnock))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.38 tff(100,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.19/0.38 tff(101,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[100, 96])).
% 0.19/0.38 tff(102,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.19/0.38 tff(103,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cEuroMP(iKinnock))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[102, 96])).
% 0.19/0.38 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.38 (a!2 (not (and (cowlThing X!1) (not (cowlNothing X!1)))))
% 0.19/0.38 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.38 (a!5 (refl (~ (not (cEuroMP iKinnock)) (not (cEuroMP iKinnock))))))
% 0.19/0.38 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!2) (xsd_string X!2)))))
% 0.19/0.38 (a!6 (~ (not (and a!1 a!3 (cEuroMP iKinnock)))
% 0.19/0.38 (or a!2
% 0.19/0.38 (= (xsd_integer X!2) (xsd_string X!2))
% 0.19/0.38 (not (cEuroMP iKinnock))))))
% 0.19/0.38 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6)))
% 0.19/0.38 Proof display could not be completed: unexpected number of arguments
% 0.19/0.39 % E exiting
%------------------------------------------------------------------------------