%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS150+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:13:29 AM UTC 2025
% Result : Theorem 0.21s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS150+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 19 19:11:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.21/0.39 % SZS status Theorem
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(xsd_string_type, type, (
% 0.21/0.39 xsd_string: $i > $o)).
% 0.21/0.39 tff(tptp_fun_X_4_type, type, (
% 0.21/0.39 tptp_fun_X_4: $i)).
% 0.21/0.39 tff(xsd_integer_type, type, (
% 0.21/0.39 xsd_integer: $i > $o)).
% 0.21/0.39 tff(cowlThing_type, type, (
% 0.21/0.39 cowlThing: $i > $o)).
% 0.21/0.39 tff(tptp_fun_X_3_type, type, (
% 0.21/0.39 tptp_fun_X_3: $i)).
% 0.21/0.39 tff(cowlNothing_type, type, (
% 0.21/0.39 cowlNothing: $i > $o)).
% 0.21/0.39 tff(cC12_type, type, (
% 0.21/0.39 cC12: $i > $o)).
% 0.21/0.39 tff(iV16562_type, type, (
% 0.21/0.39 iV16562: $i)).
% 0.21/0.39 tff(cC2_type, type, (
% 0.21/0.39 cC2: $i > $o)).
% 0.21/0.39 tff(cC10_type, type, (
% 0.21/0.39 cC10: $i > $o)).
% 0.21/0.39 tff(cC6_type, type, (
% 0.21/0.39 cC6: $i > $o)).
% 0.21/0.39 tff(iV16561_type, type, (
% 0.21/0.39 iV16561: $i)).
% 0.21/0.39 tff(cC4_type, type, (
% 0.21/0.39 cC4: $i > $o)).
% 0.21/0.39 tff(cC8_type, type, (
% 0.21/0.39 cC8: $i > $o)).
% 0.21/0.39 tff(iV16560_type, type, (
% 0.21/0.39 iV16560: $i)).
% 0.21/0.39 tff(cC14_type, type, (
% 0.21/0.39 cC14: $i > $o)).
% 0.21/0.39 tff(cC16_type, type, (
% 0.21/0.39 cC16: $i > $o)).
% 0.21/0.39 tff(cTOP_type, type, (
% 0.21/0.39 cTOP: $i > $o)).
% 0.21/0.39 tff(cC18_type, type, (
% 0.21/0.39 cC18: $i > $o)).
% 0.21/0.39 tff(cTEST_type, type, (
% 0.21/0.39 cTEST: $i > $o)).
% 0.21/0.39 tff(1,assumption,(cowlNothing(X!3) | (~cowlThing(X!3))), introduced(assumption)).
% 0.21/0.39 tff(2,plain,
% 0.21/0.39 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(3,plain,
% 0.21/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.39 tff(4,plain,
% 0.21/0.39 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[4])).
% 0.21/0.39 tff(6,plain,
% 0.21/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.21/0.39 tff(9,plain,(
% 0.21/0.39 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[8])).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.21/0.39 tff(11,plain,
% 0.21/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!3) | (~cowlThing(X!3))))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(13,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.21/0.39 tff(14,plain,(~(cowlNothing(X!3) | (~cowlThing(X!3)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 ((cowlNothing(X!3) | (~cowlThing(X!3))) | cowlThing(X!3)),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(16,plain,
% 0.21/0.39 (cowlThing(X!3)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 ((cowlNothing(X!3) | (~cowlThing(X!3))) | (~cowlNothing(X!3))),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(18,plain,
% 0.21/0.39 (~cowlNothing(X!3)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.21/0.39 tff(19,plain,
% 0.21/0.39 (^[X: $i] : refl((~((cC2(X) | cC10(X)) <=> cC12(X))) <=> (~((cC2(X) | cC10(X)) <=> cC12(X))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X))) <=> ![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.39 tff(21,plain,
% 0.21/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC2(X)) & (~cC10(X))) <=> (~(cC2(X) | cC10(X)))), ((cC12(X) <=> ((~cC2(X)) & (~cC10(X)))) <=> (cC12(X) <=> (~(cC2(X) | cC10(X)))))), rewrite((cC12(X) <=> (~(cC2(X) | cC10(X)))) <=> (~((cC2(X) | cC10(X)) <=> cC12(X)))), ((cC12(X) <=> ((~cC2(X)) & (~cC10(X)))) <=> (~((cC2(X) | cC10(X)) <=> cC12(X))))), rewrite((~((cC2(X) | cC10(X)) <=> cC12(X))) <=> (~((cC2(X) | cC10(X)) <=> cC12(X)))), ((cC12(X) <=> ((~cC2(X)) & (~cC10(X)))) <=> (~((cC2(X) | cC10(X)) <=> cC12(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(22,plain,
% 0.21/0.39 (![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X)))) <=> ![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[21])).
% 0.21/0.39 tff(23,plain,
% 0.21/0.39 (![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X)))) <=> ![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(24,axiom,(![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 (![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.39 tff(26,plain,(
% 0.21/0.39 ![X: $i] : (cC12(X) <=> ((~cC2(X)) & (~cC10(X))))),
% 0.21/0.39 inference(skolemize,[status(sab)],[25])).
% 0.21/0.39 tff(27,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.21/0.39 tff(28,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.21/0.39 tff(29,plain,
% 0.21/0.39 (((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)))) <=> ((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(30,plain,
% 0.21/0.39 ((~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))) <=> (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(31,plain,
% 0.21/0.39 (((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562)) <=> ((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(32,plain,
% 0.21/0.39 ((~((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562))) <=> (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[31])).
% 0.21/0.39 tff(33,plain,
% 0.21/0.39 ((~((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562))) <=> (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)))),
% 0.21/0.39 inference(transitivity,[status(thm)],[32, 30])).
% 0.21/0.39 tff(34,plain,
% 0.21/0.39 (((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562)))) <=> ((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[33])).
% 0.21/0.39 tff(35,plain,
% 0.21/0.39 (((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562)))) <=> ((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[34, 29])).
% 0.21/0.39 tff(36,plain,
% 0.21/0.39 ((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC2(iV16562) | cC10(iV16562)) <=> cC12(iV16562)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(37,plain,
% 0.21/0.39 ((~![X: $i] : (~((cC2(X) | cC10(X)) <=> cC12(X)))) | (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.21/0.39 tff(38,plain,
% 0.21/0.39 (~((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[37, 28])).
% 0.21/0.39 tff(39,plain,
% 0.21/0.39 ((~cC2(iV16562)) <=> (~cC2(iV16562))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(40,axiom,(~cC2(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_21')).
% 0.21/0.39 tff(41,plain,
% 0.21/0.39 (~cC2(iV16562)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.39 tff(42,plain,
% 0.21/0.39 ((~cC10(iV16562)) <=> (~cC10(iV16562))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(43,axiom,(~cC10(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_20')).
% 0.21/0.39 tff(44,plain,
% 0.21/0.39 (~cC10(iV16562)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.21/0.39 tff(45,plain,
% 0.21/0.39 ((~(cC10(iV16562) | cC2(iV16562))) | cC10(iV16562) | cC2(iV16562)),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(46,plain,
% 0.21/0.39 (~(cC10(iV16562) | cC2(iV16562))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[45, 44, 41])).
% 0.21/0.39 tff(47,plain,
% 0.21/0.39 (((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)) | (cC10(iV16562) | cC2(iV16562)) | cC12(iV16562)),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(48,plain,
% 0.21/0.39 (((cC10(iV16562) | cC2(iV16562)) <=> cC12(iV16562)) | cC12(iV16562)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.21/0.39 tff(49,plain,
% 0.21/0.39 (cC12(iV16562)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[48, 38])).
% 0.21/0.39 tff(50,plain,
% 0.21/0.39 (^[X: $i] : refl((~((cC2(X) | cC4(X)) <=> cC6(X))) <=> (~((cC2(X) | cC4(X)) <=> cC6(X))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(51,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X))) <=> ![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[50])).
% 0.21/0.39 tff(52,plain,
% 0.21/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC2(X)) & (~cC4(X))) <=> (~(cC2(X) | cC4(X)))), ((cC6(X) <=> ((~cC2(X)) & (~cC4(X)))) <=> (cC6(X) <=> (~(cC2(X) | cC4(X)))))), rewrite((cC6(X) <=> (~(cC2(X) | cC4(X)))) <=> (~((cC2(X) | cC4(X)) <=> cC6(X)))), ((cC6(X) <=> ((~cC2(X)) & (~cC4(X)))) <=> (~((cC2(X) | cC4(X)) <=> cC6(X))))), rewrite((~((cC2(X) | cC4(X)) <=> cC6(X))) <=> (~((cC2(X) | cC4(X)) <=> cC6(X)))), ((cC6(X) <=> ((~cC2(X)) & (~cC4(X)))) <=> (~((cC2(X) | cC4(X)) <=> cC6(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(53,plain,
% 0.21/0.39 (![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X)))) <=> ![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.21/0.39 tff(54,plain,
% 0.21/0.39 (![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X)))) <=> ![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(55,axiom,(![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_8')).
% 0.21/0.39 tff(56,plain,
% 0.21/0.39 (![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X))))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.21/0.39 tff(57,plain,(
% 0.21/0.39 ![X: $i] : (cC6(X) <=> ((~cC2(X)) & (~cC4(X))))),
% 0.21/0.39 inference(skolemize,[status(sab)],[56])).
% 0.21/0.39 tff(58,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.21/0.39 tff(59,plain,
% 0.21/0.39 (![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.21/0.39 tff(60,plain,
% 0.21/0.39 ((~![X: $i] : (~((cC2(X) | cC4(X)) <=> cC6(X)))) | (~((cC2(iV16561) | cC4(iV16561)) <=> cC6(iV16561)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(61,plain,
% 0.21/0.39 (~((cC2(iV16561) | cC4(iV16561)) <=> cC6(iV16561))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.21/0.39 tff(62,plain,
% 0.21/0.39 ((~cC2(iV16561)) <=> (~cC2(iV16561))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(63,axiom,(~cC2(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_19')).
% 0.21/0.39 tff(64,plain,
% 0.21/0.39 (~cC2(iV16561)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.21/0.39 tff(65,plain,
% 0.21/0.39 ((~cC4(iV16561)) <=> (~cC4(iV16561))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(66,axiom,(~cC4(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_16')).
% 0.21/0.39 tff(67,plain,
% 0.21/0.39 (~cC4(iV16561)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.21/0.39 tff(68,plain,
% 0.21/0.39 ((~(cC2(iV16561) | cC4(iV16561))) | cC2(iV16561) | cC4(iV16561)),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(69,plain,
% 0.21/0.39 (~(cC2(iV16561) | cC4(iV16561))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[68, 67, 64])).
% 0.21/0.39 tff(70,plain,
% 0.21/0.39 (((cC2(iV16561) | cC4(iV16561)) <=> cC6(iV16561)) | (cC2(iV16561) | cC4(iV16561)) | cC6(iV16561)),
% 0.21/0.39 inference(tautology,[status(thm)],[])).
% 0.21/0.39 tff(71,plain,
% 0.21/0.39 (((cC2(iV16561) | cC4(iV16561)) <=> cC6(iV16561)) | cC6(iV16561)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.21/0.39 tff(72,plain,
% 0.21/0.39 (cC6(iV16561)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[71, 61])).
% 0.21/0.39 tff(73,plain,
% 0.21/0.39 (^[X: $i] : refl((~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(74,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[73])).
% 0.21/0.39 tff(75,plain,
% 0.21/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC14(X) & cC8(X)) <=> (~((~cC14(X)) | (~cC8(X))))), ((cC16(X) <=> (cC14(X) & cC8(X))) <=> (cC16(X) <=> (~((~cC14(X)) | (~cC8(X))))))), rewrite((cC16(X) <=> (~((~cC14(X)) | (~cC8(X))))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))), ((cC16(X) <=> (cC14(X) & cC8(X))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))))), rewrite((~(((~cC14(X)) | (~cC8(X))) <=> cC16(X))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))), ((cC16(X) <=> (cC14(X) & cC8(X))) <=> (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(76,plain,
% 0.21/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X))) <=> ![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[75])).
% 0.21/0.39 tff(77,plain,
% 0.21/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X))) <=> ![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(78,axiom,(![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.21/0.39 tff(79,plain,
% 0.21/0.39 (![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.39 tff(80,plain,(
% 0.21/0.39 ![X: $i] : (cC16(X) <=> (cC14(X) & cC8(X)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[79])).
% 0.21/0.39 tff(81,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[80, 76])).
% 0.21/0.39 tff(82,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.21/0.39 tff(83,plain,
% 0.21/0.39 ((~![X: $i] : (~(((~cC14(X)) | (~cC8(X))) <=> cC16(X)))) | (~(((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(84,plain,
% 0.21/0.39 (~(((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.21/0.39 tff(85,plain,
% 0.21/0.39 (^[X: $i] : refl((~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))) <=> (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(86,plain,
% 0.21/0.39 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[85])).
% 0.21/0.39 tff(87,plain,
% 0.21/0.39 (^[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)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(88,plain,
% 0.21/0.39 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X))) <=> ![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[87])).
% 0.21/0.39 tff(89,plain,
% 0.21/0.39 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X))) <=> ![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(90,axiom,(![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_6')).
% 0.21/0.39 tff(91,plain,
% 0.21/0.39 (![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.21/0.39 tff(92,plain,(
% 0.21/0.39 ![X: $i] : (cC18(X) <=> (cTOP(X) & cC16(X)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[91])).
% 0.21/0.39 tff(93,plain,
% 0.21/0.39 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.21/0.39 tff(94,plain,
% 0.21/0.39 (![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.21/0.39 tff(95,plain,
% 0.21/0.39 (((~![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))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(96,plain,
% 0.21/0.39 ((~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(97,plain,
% 0.21/0.39 ((((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)) <=> (((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(98,plain,
% 0.21/0.39 ((~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[97])).
% 0.21/0.39 tff(99,plain,
% 0.21/0.39 ((~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560))) <=> (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.21/0.39 inference(transitivity,[status(thm)],[98, 96])).
% 0.21/0.39 tff(100,plain,
% 0.21/0.39 (((~![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))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[99])).
% 0.21/0.39 tff(101,plain,
% 0.21/0.39 (((~![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))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[100, 95])).
% 0.21/0.39 tff(102,plain,
% 0.21/0.39 ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cTOP(iV16560)) | (~cC16(iV16560))) <=> cC18(iV16560)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(103,plain,
% 0.21/0.39 ((~![X: $i] : (~(((~cTOP(X)) | (~cC16(X))) <=> cC18(X)))) | (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.21/0.39 tff(104,plain,
% 0.21/0.39 (~(((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[103, 94])).
% 0.21/0.39 tff(105,plain,
% 0.21/0.39 (^[X: $i] : refl((~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X))) <=> (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(106,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X))) <=> ![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[105])).
% 0.21/0.39 tff(107,plain,
% 0.21/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC18(X) & cTOP(X)) <=> (~((~cC18(X)) | (~cTOP(X))))), ((cTEST(X) <=> (cC18(X) & cTOP(X))) <=> (cTEST(X) <=> (~((~cC18(X)) | (~cTOP(X))))))), rewrite((cTEST(X) <=> (~((~cC18(X)) | (~cTOP(X))))) <=> (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC18(X) & cTOP(X))) <=> (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X))))), rewrite((~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X))) <=> (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))), ((cTEST(X) <=> (cC18(X) & cTOP(X))) <=> (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(108,plain,
% 0.21/0.39 (![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X))) <=> ![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[107])).
% 0.21/0.39 tff(109,plain,
% 0.21/0.39 (![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X))) <=> ![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(110,axiom,(![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_10')).
% 0.21/0.39 tff(111,plain,
% 0.21/0.39 (![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.21/0.39 tff(112,plain,(
% 0.21/0.39 ![X: $i] : (cTEST(X) <=> (cC18(X) & cTOP(X)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[111])).
% 0.21/0.39 tff(113,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[112, 108])).
% 0.21/0.39 tff(114,plain,
% 0.21/0.39 (![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[113, 106])).
% 0.21/0.39 tff(115,plain,
% 0.21/0.39 ((~![X: $i] : (~(((~cC18(X)) | (~cTOP(X))) <=> cTEST(X)))) | (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(116,plain,
% 0.21/0.39 (~(((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[115, 114])).
% 0.21/0.39 tff(117,plain,
% 0.21/0.39 (cTEST(iV16560) <=> cTEST(iV16560)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(118,axiom,(cTEST(iV16560)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_12')).
% 0.21/0.40 tff(119,plain,
% 0.21/0.40 (cTEST(iV16560)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.21/0.40 tff(120,plain,
% 0.21/0.40 ((((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)) | (~((~cC18(iV16560)) | (~cTOP(iV16560)))) | (~cTEST(iV16560))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(121,plain,
% 0.21/0.40 ((((~cC18(iV16560)) | (~cTOP(iV16560))) <=> cTEST(iV16560)) | (~((~cC18(iV16560)) | (~cTOP(iV16560))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.21/0.40 tff(122,plain,
% 0.21/0.40 (~((~cC18(iV16560)) | (~cTOP(iV16560)))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[121, 116])).
% 0.21/0.40 tff(123,plain,
% 0.21/0.40 (((~cC18(iV16560)) | (~cTOP(iV16560))) | cC18(iV16560)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(124,plain,
% 0.21/0.40 (cC18(iV16560)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.21/0.40 tff(125,plain,
% 0.21/0.40 ((((~cC16(iV16560)) | (~cTOP(iV16560))) <=> cC18(iV16560)) | (~((~cC16(iV16560)) | (~cTOP(iV16560)))) | (~cC18(iV16560))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(126,plain,
% 0.21/0.40 (~((~cC16(iV16560)) | (~cTOP(iV16560)))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[125, 124, 104])).
% 0.21/0.40 tff(127,plain,
% 0.21/0.40 (((~cC16(iV16560)) | (~cTOP(iV16560))) | cC16(iV16560)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(128,plain,
% 0.21/0.40 (cC16(iV16560)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.21/0.40 tff(129,plain,
% 0.21/0.40 ((((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)) | (~((~cC14(iV16560)) | (~cC8(iV16560)))) | (~cC16(iV16560))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(130,plain,
% 0.21/0.40 ((((~cC14(iV16560)) | (~cC8(iV16560))) <=> cC16(iV16560)) | (~((~cC14(iV16560)) | (~cC8(iV16560))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.21/0.40 tff(131,plain,
% 0.21/0.40 (~((~cC14(iV16560)) | (~cC8(iV16560)))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[130, 84])).
% 0.21/0.40 tff(132,plain,
% 0.21/0.40 (((~cC14(iV16560)) | (~cC8(iV16560))) | cC8(iV16560)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(133,plain,
% 0.21/0.40 (cC8(iV16560)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.21/0.40 tff(134,plain,
% 0.21/0.40 (((~cC14(iV16560)) | (~cC8(iV16560))) | cC14(iV16560)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(135,plain,
% 0.21/0.40 (cC14(iV16560)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[134, 131])).
% 0.21/0.40 tff(136,plain,
% 0.21/0.40 (cowlThing(iV16562) <=> cowlThing(iV16562)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(137,axiom,(cowlThing(iV16562)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_22')).
% 0.21/0.40 tff(138,plain,
% 0.21/0.40 (cowlThing(iV16562)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.21/0.40 tff(139,plain,
% 0.21/0.40 (cowlThing(iV16561) <=> cowlThing(iV16561)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(140,axiom,(cowlThing(iV16561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_17')).
% 0.21/0.40 tff(141,plain,
% 0.21/0.40 (cowlThing(iV16561)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.21/0.40 tff(142,plain,
% 0.21/0.40 (cowlThing(iV16560) <=> cowlThing(iV16560)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(143,axiom,(cowlThing(iV16560)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_13')).
% 0.21/0.40 tff(144,plain,
% 0.21/0.40 (cowlThing(iV16560)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.21/0.40 tff(145,plain,
% 0.21/0.40 (((cowlNothing(X!3) | (~cowlThing(X!3))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562))) <=> (cowlNothing(X!3) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562)) | (~cowlThing(X!3)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(146,plain,
% 0.21/0.40 ((~(~(cowlNothing(X!3) | (~cowlThing(X!3))))) <=> (cowlNothing(X!3) | (~cowlThing(X!3)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(147,plain,
% 0.21/0.40 ((cowlThing(X!3) & (~cowlNothing(X!3))) <=> (~(cowlNothing(X!3) | (~cowlThing(X!3))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(148,plain,
% 0.21/0.40 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> (~(~(cowlNothing(X!3) | (~cowlThing(X!3)))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[147])).
% 0.21/0.40 tff(149,plain,
% 0.21/0.40 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> (cowlNothing(X!3) | (~cowlThing(X!3)))),
% 0.21/0.40 inference(transitivity,[status(thm)],[148, 146])).
% 0.21/0.40 tff(150,plain,
% 0.21/0.40 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562))) <=> ((cowlNothing(X!3) | (~cowlThing(X!3))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562)))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[149])).
% 0.21/0.40 tff(151,plain,
% 0.21/0.40 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562))) <=> (cowlNothing(X!3) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562)) | (~cowlThing(X!3)))),
% 0.21/0.40 inference(transitivity,[status(thm)],[150, 145])).
% 0.21/0.40 tff(152,plain,
% 0.21/0.40 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562))) <=> ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~cC18(iV16560)) | (~cC16(iV16560)) | (~cowlThing(iV16560)) | (~cC14(iV16560)) | (~cC8(iV16560)) | (~cowlThing(iV16561)) | (~cC6(iV16561)) | (~cowlThing(iV16562)) | (~cC12(iV16562)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(153,plain,
% 0.21/0.40 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(154,plain,
% 0.21/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562)))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[153])).
% 0.21/0.40 tff(155,plain,
% 0.21/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(156,plain,
% 0.21/0.40 ((~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC18(iV16560)) & cC16(iV16560)) & cowlThing(iV16560)) & cC14(iV16560)) & cC8(iV16560)) & cowlThing(iV16561)) & cC6(iV16561)) & cowlThing(iV16562)) & cC12(iV16562))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(157,axiom,(~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC18(iV16560)) & cC16(iV16560)) & cowlThing(iV16560)) & cC14(iV16560)) & cC8(iV16560)) & cowlThing(iV16561)) & cC6(iV16561)) & cowlThing(iV16562)) & cC12(iV16562))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.21/0.41 tff(158,plain,
% 0.21/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.21/0.41 tff(159,plain,
% 0.21/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[158, 154])).
% 0.21/0.41 tff(160,plain,
% 0.21/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.21/0.41 tff(161,plain,
% 0.21/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC18(iV16560) & cC16(iV16560) & cowlThing(iV16560) & cC14(iV16560) & cC8(iV16560) & cowlThing(iV16561) & cC6(iV16561) & cowlThing(iV16562) & cC12(iV16562))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[160, 154])).
% 0.21/0.41 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.21/0.41 (a!2 (not (and (cowlThing X!3) (not (cowlNothing X!3)))))
% 0.21/0.41 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.21/0.41 (a!5 (refl (~ (not (cC18 iV16560)) (not (cC18 iV16560)))))
% 0.21/0.41 (a!6 (refl (~ (not (cC16 iV16560)) (not (cC16 iV16560)))))
% 0.21/0.41 (a!7 (refl (~ (not (cowlThing iV16560)) (not (cowlThing iV16560)))))
% 0.21/0.41 (a!8 (refl (~ (not (cC14 iV16560)) (not (cC14 iV16560)))))
% 0.21/0.41 (a!9 (refl (~ (not (cC8 iV16560)) (not (cC8 iV16560)))))
% 0.21/0.41 (a!10 (refl (~ (not (cowlThing iV16561)) (not (cowlThing iV16561)))))
% 0.21/0.41 (a!11 (refl (~ (not (cC6 iV16561)) (not (cC6 iV16561)))))
% 0.21/0.41 (a!12 (refl (~ (not (cowlThing iV16562)) (not (cowlThing iV16562)))))
% 0.21/0.41 (a!13 (refl (~ (not (cC12 iV16562)) (not (cC12 iV16562))))))
% 0.21/0.41 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!4) (xsd_string X!4)))))
% 0.21/0.41 (a!14 (~ (not (and a!1
% 0.21/0.41 a!3
% 0.21/0.41 (cC18 iV16560)
% 0.21/0.41 (cC16 iV16560)
% 0.21/0.41 (cowlThing iV16560)
% 0.21/0.41 (cC14 iV16560)
% 0.21/0.41 (cC8 iV16560)
% 0.21/0.41 (cowlThing iV16561)
% 0.21/0.41 (cC6 iV16561)
% 0.21/0.41 (cowlThing iV16562)
% 0.21/0.41 (cC12 iV16562)))
% 0.21/0.41 (or a!2
% 0.21/0.41 (= (xsd_integer X!4) (xsd_string X!4))
% 0.21/0.41 (not (cC18 iV16560))
% 0.21/0.41 (not (cC16 iV16560))
% 0.21/0.41 (not (cowlThing iV16560))
% 0.21/0.41 (not (cC14 iV16560))
% 0.21/0.41 (not (cC8 iV16560))
% 0.21/0.41 (not (cowlThing iV16561))
% 0.21/0.41 (not (cC6 iV16561))
% 0.21/0.41 (not (cowlThing iV16562))
% 0.21/0.41 (not (cC12 iV16562))))))
% 0.21/0.41 (nnf-neg (sk (~ (not a!1) a!2))
% 0.21/0.41 a!4
% 0.21/0.41 a!5
% 0.21/0.41 a!6
% 0.21/0.41 a!7
% 0.21/0.41 a!8
% 0.21/0.41 a!9
% 0.21/0.41 a!10
% 0.21/0.41 a!11
% 0.21/0.41 a!12
% 0.21/0.41 a!13
% 0.21/0.41 a!14)))
% 0.21/0.41 Proof display could not be completed: unexpected number of arguments
% 0.21/0.41 % E exiting
%------------------------------------------------------------------------------