%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS158+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 05:13:30 AM UTC 2025
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS158+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.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 19:12:12 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % SZS status Theorem
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(xsd_string_type, type, (
% 0.12/0.38 xsd_string: $i > $o)).
% 0.12/0.38 tff(tptp_fun_X_10_type, type, (
% 0.12/0.38 tptp_fun_X_10: $i)).
% 0.12/0.38 tff(xsd_integer_type, type, (
% 0.12/0.38 xsd_integer: $i > $o)).
% 0.12/0.38 tff(cowlThing_type, type, (
% 0.12/0.38 cowlThing: $i > $o)).
% 0.12/0.38 tff(tptp_fun_X_9_type, type, (
% 0.12/0.38 tptp_fun_X_9: $i)).
% 0.12/0.38 tff(cowlNothing_type, type, (
% 0.12/0.38 cowlNothing: $i > $o)).
% 0.12/0.38 tff(cC12_type, type, (
% 0.12/0.38 cC12: $i > $o)).
% 0.12/0.38 tff(iV16562_type, type, (
% 0.12/0.38 iV16562: $i)).
% 0.12/0.38 tff(cC2xcomp_type, type, (
% 0.12/0.38 cC2xcomp: $i > $o)).
% 0.12/0.38 tff(cC10xcomp_type, type, (
% 0.12/0.38 cC10xcomp: $i > $o)).
% 0.12/0.38 tff(cC6_type, type, (
% 0.12/0.38 cC6: $i > $o)).
% 0.12/0.38 tff(iV16561_type, type, (
% 0.12/0.38 iV16561: $i)).
% 0.12/0.38 tff(cC4xcomp_type, type, (
% 0.12/0.38 cC4xcomp: $i > $o)).
% 0.12/0.38 tff(cC16_type, type, (
% 0.12/0.38 cC16: $i > $o)).
% 0.12/0.38 tff(iV16560_type, type, (
% 0.12/0.38 iV16560: $i)).
% 0.12/0.38 tff(cTOP_type, type, (
% 0.12/0.38 cTOP: $i > $o)).
% 0.12/0.38 tff(cC18_type, type, (
% 0.12/0.38 cC18: $i > $o)).
% 0.12/0.38 tff(cTEST_type, type, (
% 0.12/0.38 cTEST: $i > $o)).
% 0.12/0.38 tff(cC8_type, type, (
% 0.12/0.38 cC8: $i > $o)).
% 0.12/0.38 tff(cC14_type, type, (
% 0.12/0.38 cC14: $i > $o)).
% 0.12/0.38 tff(1,assumption,(cowlNothing(X!9) | (~cowlThing(X!9))), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.38 tff(9,plain,(
% 0.12/0.38 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[8])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!9) | (~cowlThing(X!9))))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.12/0.38 tff(14,plain,(~(cowlNothing(X!9) | (~cowlThing(X!9)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((cowlNothing(X!9) | (~cowlThing(X!9))) | cowlThing(X!9)),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (cowlThing(X!9)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 ((cowlNothing(X!9) | (~cowlThing(X!9))) | (~cowlNothing(X!9))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (~cowlNothing(X!9)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (^[X: $i] : refl((~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X))) <=> (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X))) <=> ![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[19])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (^[X: $i] : trans(trans(monotonicity(rewrite((cC10xcomp(X) & cC2xcomp(X)) <=> (~((~cC10xcomp(X)) | (~cC2xcomp(X))))), ((cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X))) <=> (cC12(X) <=> (~((~cC10xcomp(X)) | (~cC2xcomp(X))))))), rewrite((cC12(X) <=> (~((~cC10xcomp(X)) | (~cC2xcomp(X))))) <=> (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))), ((cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X))) <=> (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X))))), rewrite((~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X))) <=> (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))), ((cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X))) <=> (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(22,plain,
% 0.12/0.38 (![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X))) <=> ![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[21])).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X))) <=> ![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(24,axiom,(![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.12/0.38 tff(26,plain,(
% 0.12/0.38 ![X: $i] : (cC12(X) <=> (cC10xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[25])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 ((~![X: $i] : (~(((~cC10xcomp(X)) | (~cC2xcomp(X))) <=> cC12(X)))) | (~(((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))) <=> cC12(iV16562)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 (~(((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))) <=> cC12(iV16562))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (cC2xcomp(iV16562) <=> cC2xcomp(iV16562)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(32,axiom,(cC2xcomp(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_29')).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 (cC2xcomp(iV16562)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (cC10xcomp(iV16562) <=> cC10xcomp(iV16562)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(35,axiom,(cC10xcomp(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_28')).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 (cC10xcomp(iV16562)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 ((~((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562)))) | (~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(38,plain,
% 0.12/0.38 (~((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[37, 36, 33])).
% 0.12/0.38 tff(39,plain,
% 0.12/0.38 ((((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))) <=> cC12(iV16562)) | ((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))) | cC12(iV16562)),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 ((((~cC10xcomp(iV16562)) | (~cC2xcomp(iV16562))) <=> cC12(iV16562)) | cC12(iV16562)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 (cC12(iV16562)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[40, 30])).
% 0.12/0.38 tff(42,plain,
% 0.12/0.38 (^[X: $i] : refl((~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X))) <=> (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X))) <=> ![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[42])).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 (^[X: $i] : trans(trans(monotonicity(rewrite((cC4xcomp(X) & cC2xcomp(X)) <=> (~((~cC2xcomp(X)) | (~cC4xcomp(X))))), ((cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X))) <=> (cC6(X) <=> (~((~cC2xcomp(X)) | (~cC4xcomp(X))))))), rewrite((cC6(X) <=> (~((~cC2xcomp(X)) | (~cC4xcomp(X))))) <=> (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))), ((cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X))) <=> (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X))))), rewrite((~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X))) <=> (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))), ((cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X))) <=> (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 (![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X))) <=> ![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[44])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 (![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X))) <=> ![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(47,axiom,(![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_14')).
% 0.12/0.38 tff(48,plain,
% 0.12/0.38 (![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.38 tff(49,plain,(
% 0.12/0.38 ![X: $i] : (cC6(X) <=> (cC4xcomp(X) & cC2xcomp(X)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[48])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 (![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.12/0.38 tff(52,plain,
% 0.12/0.38 ((~![X: $i] : (~(((~cC2xcomp(X)) | (~cC4xcomp(X))) <=> cC6(X)))) | (~(((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))) <=> cC6(iV16561)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 (~(((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))) <=> cC6(iV16561))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.12/0.38 tff(54,plain,
% 0.12/0.38 (cC2xcomp(iV16561) <=> cC2xcomp(iV16561)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(55,axiom,(cC2xcomp(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_25')).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 (cC2xcomp(iV16561)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.12/0.38 tff(57,plain,
% 0.12/0.38 (cC4xcomp(iV16561) <=> cC4xcomp(iV16561)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(58,axiom,(cC4xcomp(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_24')).
% 0.12/0.38 tff(59,plain,
% 0.12/0.38 (cC4xcomp(iV16561)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.12/0.38 tff(60,plain,
% 0.12/0.38 ((~((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561)))) | (~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(61,plain,
% 0.12/0.38 (~((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561)))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[60, 59, 56])).
% 0.12/0.38 tff(62,plain,
% 0.12/0.38 ((((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))) <=> cC6(iV16561)) | ((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))) | cC6(iV16561)),
% 0.12/0.38 inference(tautology,[status(thm)],[])).
% 0.12/0.38 tff(63,plain,
% 0.12/0.38 ((((~cC2xcomp(iV16561)) | (~cC4xcomp(iV16561))) <=> cC6(iV16561)) | cC6(iV16561)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.12/0.38 tff(64,plain,
% 0.12/0.38 (cC6(iV16561)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[63, 53])).
% 0.12/0.38 tff(65,plain,
% 0.12/0.38 (^[X: $i] : refl((~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(66,plain,
% 0.12/0.38 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[65])).
% 0.12/0.38 tff(67,plain,
% 0.12/0.38 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & cC16(X)) <=> (~((~cTOP(X)) | (~cC16(X))))), ((cC18(X) <=> (cTOP(X) & cC16(X))) <=> (cC18(X) <=> (~((~cTOP(X)) | (~cC16(X))))))), rewrite((cC18(X) <=> (~((~cTOP(X)) | (~cC16(X))))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))), ((cC18(X) <=> (cTOP(X) & cC16(X))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))))), rewrite((~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))), ((cC18(X) <=> (cTOP(X) & cC16(X))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(68,plain,
% 0.12/0.38 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[67])).
% 0.12/0.38 tff(69,plain,
% 0.12/0.38 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X))) <=> ![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(70,axiom,(![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_8')).
% 0.12/0.38 tff(71,plain,
% 0.12/0.38 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.12/0.38 tff(72,plain,(
% 0.12/0.38 ![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[71])).
% 0.12/0.38 tff(73,plain,
% 0.12/0.38 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.12/0.38 tff(74,plain,
% 0.12/0.38 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.12/0.38 tff(75,plain,
% 0.12/0.38 (((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(76,plain,
% 0.12/0.38 ((~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(77,plain,
% 0.12/0.38 ((((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)) <=> (((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(78,plain,
% 0.12/0.38 ((~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[77])).
% 0.12/0.38 tff(79,plain,
% 0.12/0.38 ((~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.12/0.38 inference(transitivity,[status(thm)],[78, 76])).
% 0.12/0.38 tff(80,plain,
% 0.12/0.38 (((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[79])).
% 0.12/0.38 tff(81,plain,
% 0.12/0.38 (((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))))),
% 0.12/0.38 inference(transitivity,[status(thm)],[80, 75])).
% 0.12/0.38 tff(82,plain,
% 0.12/0.38 ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)))),
% 0.12/0.38 inference(quant_inst,[status(thm)],[])).
% 0.12/0.38 tff(83,plain,
% 0.12/0.38 ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.12/0.38 tff(84,plain,
% 0.12/0.38 (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[83, 74])).
% 0.12/0.38 tff(85,plain,
% 0.12/0.38 (^[X: $i] : refl((~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X))) <=> (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(86,plain,
% 0.12/0.38 (![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[85])).
% 0.12/0.38 tff(87,plain,
% 0.12/0.38 (^[X: $i] : trans(trans(monotonicity(rewrite((cTOP(X) & cC18(X)) <=> (~((~cTOP(X)) | (~cC18(X))))), ((cTEST(X) <=> (cTOP(X) & cC18(X))) <=> (cTEST(X) <=> (~((~cTOP(X)) | (~cC18(X))))))), rewrite((cTEST(X) <=> (~((~cTOP(X)) | (~cC18(X))))) <=> (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cTOP(X) & cC18(X))) <=> (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X))))), rewrite((~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X))) <=> (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cTOP(X) & cC18(X))) <=> (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(88,plain,
% 0.12/0.38 (![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[87])).
% 0.12/0.38 tff(89,plain,
% 0.12/0.38 (![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X))) <=> ![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(90,axiom,(![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_16')).
% 0.12/0.39 tff(91,plain,
% 0.12/0.39 (![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.12/0.39 tff(92,plain,(
% 0.12/0.39 ![X: $i] : (cTEST(X) <=> (cTOP(X) & cC18(X)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[91])).
% 0.12/0.39 tff(93,plain,
% 0.12/0.39 (![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.12/0.39 tff(94,plain,
% 0.12/0.39 (![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.12/0.39 tff(95,plain,
% 0.12/0.39 (((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(96,plain,
% 0.12/0.39 ((~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))) <=> (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(97,plain,
% 0.12/0.39 ((((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560)) <=> (((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(98,plain,
% 0.12/0.39 ((~(((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560))) <=> (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[97])).
% 0.12/0.39 tff(99,plain,
% 0.12/0.39 ((~(((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560))) <=> (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[98, 96])).
% 0.12/0.39 tff(100,plain,
% 0.12/0.39 (((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[99])).
% 0.12/0.39 tff(101,plain,
% 0.12/0.39 (((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560)))) <=> ((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))))),
% 0.12/0.39 inference(transitivity,[status(thm)],[100, 95])).
% 0.12/0.39 tff(102,plain,
% 0.12/0.39 ((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cTOP(iV16560)) | (~cC18(iV16560))) <=> cTEST(iV16560)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(103,plain,
% 0.12/0.39 ((~![X: $i] : (~(((~cTOP(X)) | (~cC18(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.12/0.39 tff(104,plain,
% 0.12/0.39 (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[103, 94])).
% 0.12/0.39 tff(105,plain,
% 0.12/0.39 (cTEST(iV16560) <=> cTEST(iV16560)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(106,axiom,(cTEST(iV16560)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_18')).
% 0.12/0.39 tff(107,plain,
% 0.12/0.39 (cTEST(iV16560)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.12/0.39 tff(108,plain,
% 0.12/0.39 ((((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)) | (~((~cC18(iV16560)) | (~cTOP(iV16560)))) | (~cTEST(iV16560))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(109,plain,
% 0.12/0.39 ((((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)) | (~((~cC18(iV16560)) | (~cTOP(iV16560))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.12/0.39 tff(110,plain,
% 0.12/0.39 (~((~cC18(iV16560)) | (~cTOP(iV16560)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[109, 104])).
% 0.12/0.39 tff(111,plain,
% 0.12/0.39 (((~cC18(iV16560)) | (~cTOP(iV16560))) | cC18(iV16560)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(112,plain,
% 0.12/0.39 (cC18(iV16560)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.12/0.39 tff(113,plain,
% 0.12/0.39 ((((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)) | (~((~cC16(iV16560)) | (~cTOP(iV16560)))) | (~cC18(iV16560))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(114,plain,
% 0.12/0.39 (~((~cC16(iV16560)) | (~cTOP(iV16560)))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[113, 112, 84])).
% 0.12/0.39 tff(115,plain,
% 0.12/0.39 (((~cC16(iV16560)) | (~cTOP(iV16560))) | cC16(iV16560)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(116,plain,
% 0.12/0.39 (cC16(iV16560)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[115, 114])).
% 0.12/0.39 tff(117,plain,
% 0.12/0.39 (^[X: $i] : refl((~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(118,plain,
% 0.12/0.39 (![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[117])).
% 0.12/0.39 tff(119,plain,
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% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(120,plain,
% 0.12/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[119])).
% 0.12/0.39 tff(121,plain,
% 0.12/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X))) <=> ![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(122,axiom,(![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 0.12/0.39 tff(123,plain,
% 0.12/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.12/0.39 tff(124,plain,(
% 0.12/0.39 ![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[123])).
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% 0.12/0.39 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.12/0.39 tff(126,plain,
% 0.12/0.39 (![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[125, 118])).
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% 0.12/0.39 ((~![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))) | (~(((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(128,plain,
% 0.12/0.39 (~(((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.12/0.39 tff(129,plain,
% 0.12/0.39 ((((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)) | (~((~cC14(iV16560)) | (~cC8(iV16560)))) | (~cC16(iV16560))),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(130,plain,
% 0.12/0.39 ((((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)) | (~((~cC14(iV16560)) | (~cC8(iV16560))))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[129, 116])).
% 0.12/0.39 tff(131,plain,
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% 0.12/0.39 inference(unit_resolution,[status(thm)],[130, 128])).
% 0.12/0.39 tff(132,plain,
% 0.12/0.39 (((~cC14(iV16560)) | (~cC8(iV16560))) | cC8(iV16560)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(133,plain,
% 0.12/0.39 (cC8(iV16560)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.12/0.39 tff(134,plain,
% 0.12/0.39 (((~cC14(iV16560)) | (~cC8(iV16560))) | cC14(iV16560)),
% 0.12/0.39 inference(tautology,[status(thm)],[])).
% 0.12/0.39 tff(135,plain,
% 0.12/0.39 (cC14(iV16560)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[134, 131])).
% 0.12/0.39 tff(136,plain,
% 0.12/0.39 (cowlThing(iV16562) <=> cowlThing(iV16562)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(137,axiom,(cowlThing(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_26')).
% 0.12/0.39 tff(138,plain,
% 0.12/0.39 (cowlThing(iV16562)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.12/0.39 tff(139,plain,
% 0.12/0.39 (cowlThing(iV16561) <=> cowlThing(iV16561)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(140,axiom,(cowlThing(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_22')).
% 0.12/0.39 tff(141,plain,
% 0.12/0.39 (cowlThing(iV16561)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.12/0.39 tff(142,plain,
% 0.12/0.39 (cowlThing(iV16560) <=> cowlThing(iV16560)),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(143,axiom,(cowlThing(iV16560)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_17')).
% 0.12/0.39 tff(144,plain,
% 0.12/0.39 (cowlThing(iV16560)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.12/0.39 tff(145,plain,
% 0.12/0.39 (((cowlNothing(X!9) | (~cowlThing(X!9))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562))) <=> (cowlNothing(X!9) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562)) | (~cowlThing(X!9)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(146,plain,
% 0.12/0.39 ((~(~(cowlNothing(X!9) | (~cowlThing(X!9))))) <=> (cowlNothing(X!9) | (~cowlThing(X!9)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(147,plain,
% 0.12/0.39 ((cowlThing(X!9) & (~cowlNothing(X!9))) <=> (~(cowlNothing(X!9) | (~cowlThing(X!9))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(148,plain,
% 0.12/0.39 ((~(cowlThing(X!9) & (~cowlNothing(X!9)))) <=> (~(~(cowlNothing(X!9) | (~cowlThing(X!9)))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[147])).
% 0.12/0.39 tff(149,plain,
% 0.12/0.39 ((~(cowlThing(X!9) & (~cowlNothing(X!9)))) <=> (cowlNothing(X!9) | (~cowlThing(X!9)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[148, 146])).
% 0.12/0.39 tff(150,plain,
% 0.12/0.39 (((~(cowlThing(X!9) & (~cowlNothing(X!9)))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562))) <=> ((cowlNothing(X!9) | (~cowlThing(X!9))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562)))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[149])).
% 0.12/0.39 tff(151,plain,
% 0.12/0.39 (((~(cowlThing(X!9) & (~cowlNothing(X!9)))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562))) <=> (cowlNothing(X!9) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562)) | (~cowlThing(X!9)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[150, 145])).
% 0.12/0.39 tff(152,plain,
% 0.12/0.39 (((~(cowlThing(X!9) & (~cowlNothing(X!9)))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562))) <=> ((~(cowlThing(X!9) & (~cowlNothing(X!9)))) | (xsd_integer(X!10) <=> xsd_string(X!10)) | (~cC18(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC6(iV16561)) | (~cowlThing(iV16561)) | (~cC12(iV16562)) | (~cowlThing(iV16562)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(153,plain,
% 0.12/0.39 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(154,plain,
% 0.12/0.39 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562)))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[153])).
% 0.12/0.40 tff(155,plain,
% 0.12/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(156,plain,
% 0.12/0.40 ((~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC18(iV16560)) & cC14(iV16560)) & cC8(iV16560)) & cC16(iV16560)) & cowlThing(iV16560)) & cC6(iV16561)) & cowlThing(iV16561)) & cC12(iV16562)) & cowlThing(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(157,axiom,(~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC18(iV16560)) & cC14(iV16560)) & cC8(iV16560)) & cC16(iV16560)) & cowlThing(iV16560)) & cC6(iV16561)) & cowlThing(iV16561)) & cC12(iV16562)) & cowlThing(iV16562))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.12/0.40 tff(158,plain,
% 0.12/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.12/0.40 tff(159,plain,
% 0.12/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[158, 154])).
% 0.12/0.40 tff(160,plain,
% 0.12/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.12/0.40 tff(161,plain,
% 0.12/0.40 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC14(iV16560) & cC8(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC6(iV16561) & cowlThing(iV16561) & cC12(iV16562) & cowlThing(iV16562))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[160, 154])).
% 0.12/0.40 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.12/0.40 (a!2 (not (and (cowlThing X!9) (not (cowlNothing X!9)))))
% 0.12/0.40 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.12/0.40 (a!5 (refl (~ (not (cC18 iV16560)) (not (cC18 iV16560)))))
% 0.12/0.40 (a!6 (refl (~ (not (cC14 iV16560)) (not (cC14 iV16560)))))
% 0.12/0.40 (a!7 (refl (~ (not (cC8 iV16560)) (not (cC8 iV16560)))))
% 0.12/0.40 (a!8 (refl (~ (not (cC16 iV16560)) (not (cC16 iV16560)))))
% 0.12/0.40 (a!9 (refl (~ (not (cowlThing iV16560)) (not (cowlThing iV16560)))))
% 0.12/0.40 (a!10 (refl (~ (not (cC6 iV16561)) (not (cC6 iV16561)))))
% 0.12/0.40 (a!11 (refl (~ (not (cowlThing iV16561)) (not (cowlThing iV16561)))))
% 0.12/0.40 (a!12 (refl (~ (not (cC12 iV16562)) (not (cC12 iV16562)))))
% 0.12/0.40 (a!13 (refl (~ (not (cowlThing iV16562)) (not (cowlThing iV16562))))))
% 0.12/0.40 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!10) (xsd_string X!10)))))
% 0.12/0.40 (a!14 (~ (not (and a!1
% 0.12/0.40 a!3
% 0.12/0.40 (cC18 iV16560)
% 0.12/0.40 (cC14 iV16560)
% 0.12/0.40 (cC8 iV16560)
% 0.12/0.40 (cC16 iV16560)
% 0.12/0.40 (cowlThing iV16560)
% 0.12/0.40 (cC6 iV16561)
% 0.12/0.40 (cowlThing iV16561)
% 0.12/0.40 (cC12 iV16562)
% 0.12/0.40 (cowlThing iV16562)))
% 0.12/0.40 (or a!2
% 0.12/0.40 (= (xsd_integer X!10) (xsd_string X!10))
% 0.12/0.40 (not (cC18 iV16560))
% 0.12/0.40 (not (cC14 iV16560))
% 0.12/0.40 (not (cC8 iV16560))
% 0.12/0.40 (not (cC16 iV16560))
% 0.12/0.40 (not (cowlThing iV16560))
% 0.12/0.40 (not (cC6 iV16561))
% 0.12/0.40 (not (cowlThing iV16561))
% 0.12/0.40 (not (cC12 iV16562))
% 0.12/0.40 (not (cowlThing iV16562))))))
% 0.12/0.40 (nnf-neg (sk (~ (not a!1) a!2))
% 0.12/0.40 a!4
% 0.12/0.40 a!5
% 0.12/0.40 a!6
% 0.12/0.40 a!7
% 0.12/0.40 a!8
% 0.12/0.40 a!9
% 0.12/0.40 a!10
% 0.12/0.40 a!11
% 0.12/0.40 a!12
% 0.12/0.40 a!13
% 0.12/0.40 a!14)))
% 0.12/0.40 Proof display could not be completed: unexpected number of arguments
% 0.19/0.40 % E exiting
%------------------------------------------------------------------------------