%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS160+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 0.11s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : KRS160+1 : TPTP v9.0.0. Released v3.1.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 19:11:54 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.36 % SZS status Theorem
% 0.11/0.36 % SZS output start Proof
% 0.11/0.36 tff(xsd_string_type, type, (
% 0.11/0.36 xsd_string: $i > $o)).
% 0.11/0.36 tff(tptp_fun_X_9_type, type, (
% 0.11/0.36 tptp_fun_X_9: $i)).
% 0.11/0.36 tff(xsd_integer_type, type, (
% 0.11/0.36 xsd_integer: $i > $o)).
% 0.11/0.36 tff(cowlThing_type, type, (
% 0.11/0.36 cowlThing: $i > $o)).
% 0.11/0.36 tff(tptp_fun_X_8_type, type, (
% 0.11/0.36 tptp_fun_X_8: $i)).
% 0.11/0.36 tff(cowlNothing_type, type, (
% 0.11/0.36 cowlNothing: $i > $o)).
% 0.11/0.36 tff(cC10_type, type, (
% 0.11/0.36 cC10: $i > $o)).
% 0.11/0.36 tff(iV21081_type, type, (
% 0.11/0.36 iV21081: $i)).
% 0.11/0.36 tff(cC4_type, type, (
% 0.11/0.36 cC4: $i > $o)).
% 0.11/0.36 tff(cC2_type, type, (
% 0.11/0.36 cC2: $i > $o)).
% 0.11/0.36 tff(cC12_type, type, (
% 0.11/0.36 cC12: $i > $o)).
% 0.11/0.36 tff(iV21080_type, type, (
% 0.11/0.36 iV21080: $i)).
% 0.11/0.36 tff(cC8xcomp_type, type, (
% 0.11/0.36 cC8xcomp: $i > $o)).
% 0.11/0.36 tff(cTEST_type, type, (
% 0.11/0.36 cTEST: $i > $o)).
% 0.11/0.36 tff(1,assumption,(cowlNothing(X!8) | (~cowlThing(X!8))), introduced(assumption)).
% 0.11/0.36 tff(2,plain,
% 0.11/0.36 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(3,plain,
% 0.11/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[2])).
% 0.11/0.36 tff(4,plain,
% 0.11/0.36 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(5,plain,
% 0.11/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[4])).
% 0.11/0.36 tff(6,plain,
% 0.11/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_0')).
% 0.11/0.36 tff(8,plain,
% 0.11/0.36 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.11/0.36 tff(9,plain,(
% 0.11/0.36 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.11/0.36 inference(skolemize,[status(sab)],[8])).
% 0.11/0.36 tff(10,plain,
% 0.11/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.11/0.36 tff(11,plain,
% 0.11/0.36 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.11/0.36 tff(12,plain,
% 0.11/0.36 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!8) | (~cowlThing(X!8))))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(13,plain,
% 0.11/0.36 ($false),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.11/0.36 tff(14,plain,(~(cowlNothing(X!8) | (~cowlThing(X!8)))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.36 tff(15,plain,
% 0.11/0.36 ((cowlNothing(X!8) | (~cowlThing(X!8))) | cowlThing(X!8)),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(16,plain,
% 0.11/0.36 (cowlThing(X!8)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.11/0.36 tff(17,plain,
% 0.11/0.36 ((cowlNothing(X!8) | (~cowlThing(X!8))) | (~cowlNothing(X!8))),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(18,plain,
% 0.11/0.36 (~cowlNothing(X!8)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.11/0.36 tff(19,plain,
% 0.11/0.36 (^[X: $i] : refl((~(((~cC2(X)) | (~cC4(X))) <=> cC10(X))) <=> (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(20,plain,
% 0.11/0.36 (![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X))) <=> ![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[19])).
% 0.11/0.36 tff(21,plain,
% 0.11/0.36 (^[X: $i] : trans(trans(monotonicity(rewrite((cC4(X) & cC2(X)) <=> (~((~cC2(X)) | (~cC4(X))))), ((cC10(X) <=> (cC4(X) & cC2(X))) <=> (cC10(X) <=> (~((~cC2(X)) | (~cC4(X))))))), rewrite((cC10(X) <=> (~((~cC2(X)) | (~cC4(X))))) <=> (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))), ((cC10(X) <=> (cC4(X) & cC2(X))) <=> (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X))))), rewrite((~(((~cC2(X)) | (~cC4(X))) <=> cC10(X))) <=> (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))), ((cC10(X) <=> (cC4(X) & cC2(X))) <=> (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(22,plain,
% 0.11/0.36 (![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X))) <=> ![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[21])).
% 0.11/0.36 tff(23,plain,
% 0.11/0.36 (![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X))) <=> ![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(24,axiom,(![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.11/0.36 tff(25,plain,
% 0.11/0.36 (![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.11/0.36 tff(26,plain,(
% 0.11/0.36 ![X: $i] : (cC10(X) <=> (cC4(X) & cC2(X)))),
% 0.11/0.36 inference(skolemize,[status(sab)],[25])).
% 0.11/0.36 tff(27,plain,
% 0.11/0.36 (![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.11/0.36 tff(28,plain,
% 0.11/0.36 (![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.11/0.36 tff(29,plain,
% 0.11/0.36 ((~![X: $i] : (~(((~cC2(X)) | (~cC4(X))) <=> cC10(X)))) | (~(((~cC2(iV21081)) | (~cC4(iV21081))) <=> cC10(iV21081)))),
% 0.11/0.36 inference(quant_inst,[status(thm)],[])).
% 0.11/0.36 tff(30,plain,
% 0.11/0.36 (~(((~cC2(iV21081)) | (~cC4(iV21081))) <=> cC10(iV21081))),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.11/0.36 tff(31,plain,
% 0.11/0.36 (cC2(iV21081) <=> cC2(iV21081)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(32,axiom,(cC2(iV21081)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_20')).
% 0.11/0.36 tff(33,plain,
% 0.11/0.36 (cC2(iV21081)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.11/0.36 tff(34,plain,
% 0.11/0.36 (cC4(iV21081) <=> cC4(iV21081)),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(35,axiom,(cC4(iV21081)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_18')).
% 0.11/0.36 tff(36,plain,
% 0.11/0.36 (cC4(iV21081)),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.11/0.36 tff(37,plain,
% 0.11/0.36 ((~((~cC2(iV21081)) | (~cC4(iV21081)))) | (~cC2(iV21081)) | (~cC4(iV21081))),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(38,plain,
% 0.11/0.36 (~((~cC2(iV21081)) | (~cC4(iV21081)))),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[37, 36, 33])).
% 0.11/0.36 tff(39,plain,
% 0.11/0.36 ((((~cC2(iV21081)) | (~cC4(iV21081))) <=> cC10(iV21081)) | ((~cC2(iV21081)) | (~cC4(iV21081))) | cC10(iV21081)),
% 0.11/0.36 inference(tautology,[status(thm)],[])).
% 0.11/0.36 tff(40,plain,
% 0.11/0.36 ((((~cC2(iV21081)) | (~cC4(iV21081))) <=> cC10(iV21081)) | cC10(iV21081)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.11/0.36 tff(41,plain,
% 0.11/0.36 (cC10(iV21081)),
% 0.11/0.36 inference(unit_resolution,[status(thm)],[40, 30])).
% 0.11/0.36 tff(42,plain,
% 0.11/0.36 (^[X: $i] : refl((~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X))) <=> (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(43,plain,
% 0.11/0.36 (![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[42])).
% 0.11/0.36 tff(44,plain,
% 0.11/0.36 (^[X: $i] : trans(trans(monotonicity(rewrite((cC8xcomp(X) & cC12(X)) <=> (~((~cC12(X)) | (~cC8xcomp(X))))), ((cTEST(X) <=> (cC8xcomp(X) & cC12(X))) <=> (cTEST(X) <=> (~((~cC12(X)) | (~cC8xcomp(X))))))), rewrite((cTEST(X) <=> (~((~cC12(X)) | (~cC8xcomp(X))))) <=> (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC8xcomp(X) & cC12(X))) <=> (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X))))), rewrite((~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X))) <=> (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC8xcomp(X) & cC12(X))) <=> (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))))),
% 0.11/0.36 inference(bind,[status(th)],[])).
% 0.11/0.36 tff(45,plain,
% 0.11/0.36 (![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X))) <=> ![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))),
% 0.11/0.36 inference(quant_intro,[status(thm)],[44])).
% 0.11/0.36 tff(46,plain,
% 0.11/0.36 (![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X))) <=> ![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X)))),
% 0.11/0.36 inference(rewrite,[status(thm)],[])).
% 0.11/0.36 tff(47,axiom,(![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_12')).
% 0.11/0.36 tff(48,plain,
% 0.11/0.36 (![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X)))),
% 0.11/0.36 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.11/0.36 tff(49,plain,(
% 0.11/0.36 ![X: $i] : (cTEST(X) <=> (cC8xcomp(X) & cC12(X)))),
% 0.11/0.36 inference(skolemize,[status(sab)],[48])).
% 0.11/0.36 tff(50,plain,
% 0.11/0.36 (![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.18/0.36 tff(51,plain,
% 0.18/0.36 (![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.18/0.36 tff(52,plain,
% 0.18/0.36 ((~![X: $i] : (~(((~cC12(X)) | (~cC8xcomp(X))) <=> cTEST(X)))) | (~(((~cC12(iV21080)) | (~cC8xcomp(iV21080))) <=> cTEST(iV21080)))),
% 0.18/0.36 inference(quant_inst,[status(thm)],[])).
% 0.18/0.36 tff(53,plain,
% 0.18/0.36 (~(((~cC12(iV21080)) | (~cC8xcomp(iV21080))) <=> cTEST(iV21080))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.18/0.36 tff(54,plain,
% 0.18/0.36 (cTEST(iV21080) <=> cTEST(iV21080)),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(55,axiom,(cTEST(iV21080)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_13')).
% 0.18/0.36 tff(56,plain,
% 0.18/0.36 (cTEST(iV21080)),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.18/0.36 tff(57,plain,
% 0.18/0.36 ((((~cC12(iV21080)) | (~cC8xcomp(iV21080))) <=> cTEST(iV21080)) | (~((~cC12(iV21080)) | (~cC8xcomp(iV21080)))) | (~cTEST(iV21080))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(58,plain,
% 0.18/0.36 ((((~cC12(iV21080)) | (~cC8xcomp(iV21080))) <=> cTEST(iV21080)) | (~((~cC12(iV21080)) | (~cC8xcomp(iV21080))))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.18/0.36 tff(59,plain,
% 0.18/0.36 (~((~cC12(iV21080)) | (~cC8xcomp(iV21080)))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[58, 53])).
% 0.18/0.36 tff(60,plain,
% 0.18/0.36 (((~cC12(iV21080)) | (~cC8xcomp(iV21080))) | cC12(iV21080)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(61,plain,
% 0.18/0.36 (cC12(iV21080)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.18/0.36 tff(62,plain,
% 0.18/0.36 (cowlThing(iV21081) <=> cowlThing(iV21081)),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(63,axiom,(cowlThing(iV21081)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_21')).
% 0.18/0.36 tff(64,plain,
% 0.18/0.36 (cowlThing(iV21081)),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.18/0.36 tff(65,plain,
% 0.18/0.36 (cowlThing(iV21080) <=> cowlThing(iV21080)),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(66,axiom,(cowlThing(iV21080)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_15')).
% 0.18/0.36 tff(67,plain,
% 0.18/0.36 (cowlThing(iV21080)),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.18/0.36 tff(68,plain,
% 0.18/0.36 (((cowlNothing(X!8) | (~cowlThing(X!8))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081))) <=> (cowlNothing(X!8) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081)) | (~cowlThing(X!8)))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(69,plain,
% 0.18/0.36 ((~(~(cowlNothing(X!8) | (~cowlThing(X!8))))) <=> (cowlNothing(X!8) | (~cowlThing(X!8)))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(70,plain,
% 0.18/0.36 ((cowlThing(X!8) & (~cowlNothing(X!8))) <=> (~(cowlNothing(X!8) | (~cowlThing(X!8))))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(71,plain,
% 0.18/0.36 ((~(cowlThing(X!8) & (~cowlNothing(X!8)))) <=> (~(~(cowlNothing(X!8) | (~cowlThing(X!8)))))),
% 0.18/0.36 inference(monotonicity,[status(thm)],[70])).
% 0.18/0.36 tff(72,plain,
% 0.18/0.36 ((~(cowlThing(X!8) & (~cowlNothing(X!8)))) <=> (cowlNothing(X!8) | (~cowlThing(X!8)))),
% 0.18/0.36 inference(transitivity,[status(thm)],[71, 69])).
% 0.18/0.36 tff(73,plain,
% 0.18/0.36 (((~(cowlThing(X!8) & (~cowlNothing(X!8)))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081))) <=> ((cowlNothing(X!8) | (~cowlThing(X!8))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081)))),
% 0.18/0.36 inference(monotonicity,[status(thm)],[72])).
% 0.18/0.36 tff(74,plain,
% 0.18/0.36 (((~(cowlThing(X!8) & (~cowlNothing(X!8)))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081))) <=> (cowlNothing(X!8) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081)) | (~cowlThing(X!8)))),
% 0.18/0.36 inference(transitivity,[status(thm)],[73, 68])).
% 0.18/0.36 tff(75,plain,
% 0.18/0.36 (((~(cowlThing(X!8) & (~cowlNothing(X!8)))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081))) <=> ((~(cowlThing(X!8) & (~cowlNothing(X!8)))) | (xsd_integer(X!9) <=> xsd_string(X!9)) | (~cowlThing(iV21080)) | (~cC12(iV21080)) | (~cC10(iV21081)) | (~cowlThing(iV21081)))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(76,plain,
% 0.18/0.37 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(77,plain,
% 0.18/0.37 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081)))),
% 0.18/0.37 inference(monotonicity,[status(thm)],[76])).
% 0.18/0.37 tff(78,plain,
% 0.18/0.37 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081)))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(79,plain,
% 0.18/0.37 ((~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081)))),
% 0.18/0.37 inference(rewrite,[status(thm)],[])).
% 0.18/0.37 tff(80,axiom,(~(((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cowlThing(iV21080)) & cC12(iV21080)) & cC10(iV21081)) & cowlThing(iV21081))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.18/0.37 tff(81,plain,
% 0.18/0.37 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.18/0.37 tff(82,plain,
% 0.18/0.37 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.18/0.37 tff(83,plain,
% 0.18/0.37 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.18/0.37 tff(84,plain,
% 0.18/0.37 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cowlThing(iV21080) & cC12(iV21080) & cC10(iV21081) & cowlThing(iV21081))),
% 0.18/0.37 inference(modus_ponens,[status(thm)],[83, 77])).
% 0.18/0.37 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.18/0.37 (a!2 (not (and (cowlThing X!8) (not (cowlNothing X!8)))))
% 0.18/0.37 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.18/0.37 (a!5 (refl (~ (not (cowlThing iV21080)) (not (cowlThing iV21080)))))
% 0.18/0.37 (a!6 (refl (~ (not (cC12 iV21080)) (not (cC12 iV21080)))))
% 0.18/0.37 (a!7 (refl (~ (not (cC10 iV21081)) (not (cC10 iV21081)))))
% 0.18/0.37 (a!8 (refl (~ (not (cowlThing iV21081)) (not (cowlThing iV21081))))))
% 0.18/0.37 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!9) (xsd_string X!9)))))
% 0.18/0.37 (a!9 (~ (not (and a!1
% 0.18/0.37 a!3
% 0.18/0.37 (cowlThing iV21080)
% 0.18/0.37 (cC12 iV21080)
% 0.18/0.37 (cC10 iV21081)
% 0.18/0.37 (cowlThing iV21081)))
% 0.18/0.37 (or a!2
% 0.18/0.37 (= (xsd_integer X!9) (xsd_string X!9))
% 0.18/0.37 (not (cowlThing iV21080))
% 0.18/0.37 (not (cC12 iV21080))
% 0.18/0.37 (not (cC10 iV21081))
% 0.18/0.37 (not (cowlThing iV21081))))))
% 0.18/0.37 (nnf-neg (sk (~ (not a!1) a!2)) a!4 a!5 a!6 a!7 a!8 a!9)))
% 0.18/0.37 Proof display could not be completed: unexpected number of arguments
% 0.18/0.37 % E exiting
%------------------------------------------------------------------------------