%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS146+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 05:13:28 AM UTC 2025
% Result : Theorem 0.19s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS146+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n011.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 19:11:57 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.19/0.39 % SZS status Theorem
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 tff(xsd_string_type, type, (
% 0.19/0.39 xsd_string: $i > $o)).
% 0.19/0.39 tff(tptp_fun_X_14_type, type, (
% 0.19/0.39 tptp_fun_X_14: $i)).
% 0.19/0.39 tff(xsd_integer_type, type, (
% 0.19/0.39 xsd_integer: $i > $o)).
% 0.19/0.39 tff(cowlThing_type, type, (
% 0.19/0.39 cowlThing: $i > $o)).
% 0.19/0.39 tff(tptp_fun_X_13_type, type, (
% 0.19/0.39 tptp_fun_X_13: $i)).
% 0.19/0.39 tff(cowlNothing_type, type, (
% 0.19/0.39 cowlNothing: $i > $o)).
% 0.19/0.39 tff(cC80_type, type, (
% 0.19/0.39 cC80: $i > $o)).
% 0.19/0.39 tff(iV822576_type, type, (
% 0.19/0.39 iV822576: $i)).
% 0.19/0.39 tff(cC78_type, type, (
% 0.19/0.39 cC78: $i > $o)).
% 0.19/0.39 tff(cC76_type, type, (
% 0.19/0.39 cC76: $i > $o)).
% 0.19/0.39 tff(cC136_type, type, (
% 0.19/0.39 cC136: $i > $o)).
% 0.19/0.39 tff(cC116_type, type, (
% 0.19/0.39 cC116: $i > $o)).
% 0.19/0.39 tff(cC134_type, type, (
% 0.19/0.39 cC134: $i > $o)).
% 0.19/0.39 tff(cC114_type, type, (
% 0.19/0.39 cC114: $i > $o)).
% 0.19/0.39 tff(cC96_type, type, (
% 0.19/0.39 cC96: $i > $o)).
% 0.19/0.39 tff(cC112_type, type, (
% 0.19/0.39 cC112: $i > $o)).
% 0.19/0.39 tff(cC110_type, type, (
% 0.19/0.39 cC110: $i > $o)).
% 0.19/0.39 tff(cC108_type, type, (
% 0.19/0.39 cC108: $i > $o)).
% 0.19/0.39 tff(cC102_type, type, (
% 0.19/0.39 cC102: $i > $o)).
% 0.19/0.39 tff(cC56_type, type, (
% 0.19/0.39 cC56: $i > $o)).
% 0.19/0.39 tff(cC4_type, type, (
% 0.19/0.39 cC4: $i > $o)).
% 0.19/0.39 tff(cC10_type, type, (
% 0.19/0.39 cC10: $i > $o)).
% 0.19/0.39 tff(cC58_type, type, (
% 0.19/0.39 cC58: $i > $o)).
% 0.19/0.39 tff(cC34_type, type, (
% 0.19/0.39 cC34: $i > $o)).
% 0.19/0.39 tff(cC94_type, type, (
% 0.19/0.39 cC94: $i > $o)).
% 0.19/0.39 tff(cC92_type, type, (
% 0.19/0.39 cC92: $i > $o)).
% 0.19/0.39 tff(cC86_type, type, (
% 0.19/0.39 cC86: $i > $o)).
% 0.19/0.39 tff(1,assumption,(cowlNothing(X!13) | (~cowlThing(X!13))), introduced(assumption)).
% 0.19/0.39 tff(2,plain,
% 0.19/0.39 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(3,plain,
% 0.19/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.19/0.39 tff(4,plain,
% 0.19/0.39 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(5,plain,
% 0.19/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.39 tff(6,plain,
% 0.19/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(7,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.39 tff(8,plain,
% 0.19/0.39 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.19/0.39 tff(9,plain,(
% 0.19/0.39 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[8])).
% 0.19/0.39 tff(10,plain,
% 0.19/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.39 tff(11,plain,
% 0.19/0.39 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.19/0.39 tff(12,plain,
% 0.19/0.39 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!13) | (~cowlThing(X!13))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(13,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 0.19/0.39 tff(14,plain,(~(cowlNothing(X!13) | (~cowlThing(X!13)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(15,plain,
% 0.19/0.39 ((cowlNothing(X!13) | (~cowlThing(X!13))) | cowlThing(X!13)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(16,plain,
% 0.19/0.39 (cowlThing(X!13)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.19/0.39 tff(17,plain,
% 0.19/0.39 ((cowlNothing(X!13) | (~cowlThing(X!13))) | (~cowlNothing(X!13))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(18,plain,
% 0.19/0.39 (~cowlNothing(X!13)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[17, 14])).
% 0.19/0.39 tff(19,plain,
% 0.19/0.39 (^[X: $i] : refl((~((cC76(X) | cC78(X)) <=> cC80(X))) <=> (~((cC76(X) | cC78(X)) <=> cC80(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(20,plain,
% 0.19/0.39 (![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X))) <=> ![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.39 tff(21,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC78(X)) & (~cC76(X))) <=> (~(cC76(X) | cC78(X)))), ((cC80(X) <=> ((~cC78(X)) & (~cC76(X)))) <=> (cC80(X) <=> (~(cC76(X) | cC78(X)))))), rewrite((cC80(X) <=> (~(cC76(X) | cC78(X)))) <=> (~((cC76(X) | cC78(X)) <=> cC80(X)))), ((cC80(X) <=> ((~cC78(X)) & (~cC76(X)))) <=> (~((cC76(X) | cC78(X)) <=> cC80(X))))), rewrite((~((cC76(X) | cC78(X)) <=> cC80(X))) <=> (~((cC76(X) | cC78(X)) <=> cC80(X)))), ((cC80(X) <=> ((~cC78(X)) & (~cC76(X)))) <=> (~((cC76(X) | cC78(X)) <=> cC80(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(22,plain,
% 0.19/0.39 (![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X)))) <=> ![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[21])).
% 0.19/0.39 tff(23,plain,
% 0.19/0.39 (![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X)))) <=> ![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(24,axiom,(![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_57')).
% 0.19/0.39 tff(25,plain,
% 0.19/0.39 (![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.39 tff(26,plain,(
% 0.19/0.39 ![X: $i] : (cC80(X) <=> ((~cC78(X)) & (~cC76(X))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[25])).
% 0.19/0.39 tff(27,plain,
% 0.19/0.39 (![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.19/0.39 tff(28,plain,
% 0.19/0.39 (![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.19/0.39 tff(29,plain,
% 0.19/0.39 ((~![X: $i] : (~((cC76(X) | cC78(X)) <=> cC80(X)))) | (~((cC76(iV822576) | cC78(iV822576)) <=> cC80(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(30,plain,
% 0.19/0.39 (~((cC76(iV822576) | cC78(iV822576)) <=> cC80(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[29, 28])).
% 0.19/0.39 tff(31,plain,
% 0.19/0.39 ((~cC78(iV822576)) <=> (~cC78(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(32,axiom,(~cC78(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_88')).
% 0.19/0.39 tff(33,plain,
% 0.19/0.39 (~cC78(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.19/0.39 tff(34,plain,
% 0.19/0.39 ((~cC76(iV822576)) <=> (~cC76(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(35,axiom,(~cC76(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_86')).
% 0.19/0.39 tff(36,plain,
% 0.19/0.39 (~cC76(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.39 tff(37,plain,
% 0.19/0.39 ((~(cC76(iV822576) | cC78(iV822576))) | cC76(iV822576) | cC78(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(38,plain,
% 0.19/0.39 (~(cC76(iV822576) | cC78(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[37, 36, 33])).
% 0.19/0.39 tff(39,plain,
% 0.19/0.39 (((cC76(iV822576) | cC78(iV822576)) <=> cC80(iV822576)) | (cC76(iV822576) | cC78(iV822576)) | cC80(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(40,plain,
% 0.19/0.39 (((cC76(iV822576) | cC78(iV822576)) <=> cC80(iV822576)) | cC80(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.19/0.39 tff(41,plain,
% 0.19/0.39 (cC80(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[40, 30])).
% 0.19/0.39 tff(42,plain,
% 0.19/0.39 (^[X: $i] : refl((~((cC134(X) | (~cC116(X))) <=> cC136(X))) <=> (~((cC134(X) | (~cC116(X))) <=> cC136(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(43,plain,
% 0.19/0.39 (![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X))) <=> ![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[42])).
% 0.19/0.39 tff(44,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC116(X) & (~cC134(X))) <=> (~(cC134(X) | (~cC116(X))))), ((cC136(X) <=> (cC116(X) & (~cC134(X)))) <=> (cC136(X) <=> (~(cC134(X) | (~cC116(X))))))), rewrite((cC136(X) <=> (~(cC134(X) | (~cC116(X))))) <=> (~((cC134(X) | (~cC116(X))) <=> cC136(X)))), ((cC136(X) <=> (cC116(X) & (~cC134(X)))) <=> (~((cC134(X) | (~cC116(X))) <=> cC136(X))))), rewrite((~((cC134(X) | (~cC116(X))) <=> cC136(X))) <=> (~((cC134(X) | (~cC116(X))) <=> cC136(X)))), ((cC136(X) <=> (cC116(X) & (~cC134(X)))) <=> (~((cC134(X) | (~cC116(X))) <=> cC136(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(45,plain,
% 0.19/0.39 (![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X)))) <=> ![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.39 tff(46,plain,
% 0.19/0.39 (![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X)))) <=> ![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(47,axiom,(![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_21')).
% 0.19/0.39 tff(48,plain,
% 0.19/0.39 (![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.39 tff(49,plain,(
% 0.19/0.39 ![X: $i] : (cC136(X) <=> (cC116(X) & (~cC134(X))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[48])).
% 0.19/0.39 tff(50,plain,
% 0.19/0.39 (![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.19/0.39 tff(51,plain,
% 0.19/0.39 (![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.19/0.39 tff(52,plain,
% 0.19/0.39 ((~![X: $i] : (~((cC134(X) | (~cC116(X))) <=> cC136(X)))) | (~((cC134(iV822576) | (~cC116(iV822576))) <=> cC136(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(53,plain,
% 0.19/0.39 (~((cC134(iV822576) | (~cC116(iV822576))) <=> cC136(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.19/0.39 tff(54,plain,
% 0.19/0.39 (^[X: $i] : refl((~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(55,plain,
% 0.19/0.39 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[54])).
% 0.19/0.39 tff(56,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC114(X) & cC80(X)) <=> (~((~cC114(X)) | (~cC80(X))))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC80(X))))))), rewrite((cC116(X) <=> (~((~cC114(X)) | (~cC80(X))))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))))), rewrite((~(((~cC114(X)) | (~cC80(X))) <=> cC116(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))), ((cC116(X) <=> (cC114(X) & cC80(X))) <=> (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(57,plain,
% 0.19/0.39 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X))) <=> ![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.19/0.39 tff(58,plain,
% 0.19/0.39 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X))) <=> ![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(59,axiom,(![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_10')).
% 0.19/0.39 tff(60,plain,
% 0.19/0.39 (![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.39 tff(61,plain,(
% 0.19/0.39 ![X: $i] : (cC116(X) <=> (cC114(X) & cC80(X)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[60])).
% 0.19/0.39 tff(62,plain,
% 0.19/0.39 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.19/0.39 tff(63,plain,
% 0.19/0.39 (![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.19/0.39 tff(64,plain,
% 0.19/0.39 ((~![X: $i] : (~(((~cC114(X)) | (~cC80(X))) <=> cC116(X)))) | (~(((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(65,plain,
% 0.19/0.39 (~(((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.19/0.39 tff(66,plain,
% 0.19/0.39 (^[X: $i] : refl((~((cC112(X) | cC96(X)) <=> cC114(X))) <=> (~((cC112(X) | cC96(X)) <=> cC114(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(67,plain,
% 0.19/0.39 (![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X))) <=> ![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[66])).
% 0.19/0.39 tff(68,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC96(X)) & (~cC112(X))) <=> (~(cC112(X) | cC96(X)))), ((cC114(X) <=> ((~cC96(X)) & (~cC112(X)))) <=> (cC114(X) <=> (~(cC112(X) | cC96(X)))))), rewrite((cC114(X) <=> (~(cC112(X) | cC96(X)))) <=> (~((cC112(X) | cC96(X)) <=> cC114(X)))), ((cC114(X) <=> ((~cC96(X)) & (~cC112(X)))) <=> (~((cC112(X) | cC96(X)) <=> cC114(X))))), rewrite((~((cC112(X) | cC96(X)) <=> cC114(X))) <=> (~((cC112(X) | cC96(X)) <=> cC114(X)))), ((cC114(X) <=> ((~cC96(X)) & (~cC112(X)))) <=> (~((cC112(X) | cC96(X)) <=> cC114(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(69,plain,
% 0.19/0.39 (![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X)))) <=> ![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[68])).
% 0.19/0.39 tff(70,plain,
% 0.19/0.39 (![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X)))) <=> ![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(71,axiom,(![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_9')).
% 0.19/0.39 tff(72,plain,
% 0.19/0.39 (![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.19/0.39 tff(73,plain,(
% 0.19/0.39 ![X: $i] : (cC114(X) <=> ((~cC96(X)) & (~cC112(X))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[72])).
% 0.19/0.39 tff(74,plain,
% 0.19/0.39 (![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.19/0.39 tff(75,plain,
% 0.19/0.39 (![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[74, 67])).
% 0.19/0.39 tff(76,plain,
% 0.19/0.39 ((~![X: $i] : (~((cC112(X) | cC96(X)) <=> cC114(X)))) | (~((cC112(iV822576) | cC96(iV822576)) <=> cC114(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(77,plain,
% 0.19/0.39 (~((cC112(iV822576) | cC96(iV822576)) <=> cC114(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.19/0.39 tff(78,plain,
% 0.19/0.39 ((~cC112(iV822576)) <=> (~cC112(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(79,axiom,(~cC112(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_87')).
% 0.19/0.39 tff(80,plain,
% 0.19/0.39 (~cC112(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.19/0.39 tff(81,plain,
% 0.19/0.39 ((~cC96(iV822576)) <=> (~cC96(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(82,axiom,(~cC96(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_76')).
% 0.19/0.39 tff(83,plain,
% 0.19/0.39 (~cC96(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.39 tff(84,plain,
% 0.19/0.39 ((~(cC112(iV822576) | cC96(iV822576))) | cC112(iV822576) | cC96(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(85,plain,
% 0.19/0.39 (~(cC112(iV822576) | cC96(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[84, 83, 80])).
% 0.19/0.39 tff(86,plain,
% 0.19/0.39 (((cC112(iV822576) | cC96(iV822576)) <=> cC114(iV822576)) | (cC112(iV822576) | cC96(iV822576)) | cC114(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(87,plain,
% 0.19/0.39 (((cC112(iV822576) | cC96(iV822576)) <=> cC114(iV822576)) | cC114(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.19/0.39 tff(88,plain,
% 0.19/0.39 (cC114(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[87, 77])).
% 0.19/0.39 tff(89,plain,
% 0.19/0.39 ((~((~cC114(iV822576)) | (~cC80(iV822576)))) | (~cC114(iV822576)) | (~cC80(iV822576))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(90,plain,
% 0.19/0.39 (~((~cC114(iV822576)) | (~cC80(iV822576)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[89, 88, 41])).
% 0.19/0.39 tff(91,plain,
% 0.19/0.39 ((((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)) | ((~cC114(iV822576)) | (~cC80(iV822576))) | cC116(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(92,plain,
% 0.19/0.39 ((((~cC114(iV822576)) | (~cC80(iV822576))) <=> cC116(iV822576)) | cC116(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.19/0.39 tff(93,plain,
% 0.19/0.39 (cC116(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[92, 65])).
% 0.19/0.39 tff(94,plain,
% 0.19/0.39 ((~cC134(iV822576)) <=> (~cC134(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(95,axiom,(~cC134(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_71')).
% 0.19/0.39 tff(96,plain,
% 0.19/0.39 (~cC134(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.19/0.39 tff(97,plain,
% 0.19/0.39 ((~(cC134(iV822576) | (~cC116(iV822576)))) | cC134(iV822576) | (~cC116(iV822576))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(98,plain,
% 0.19/0.39 ((~(cC134(iV822576) | (~cC116(iV822576)))) | (~cC116(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.19/0.39 tff(99,plain,
% 0.19/0.39 (~(cC134(iV822576) | (~cC116(iV822576)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[98, 93])).
% 0.19/0.39 tff(100,plain,
% 0.19/0.39 (((cC134(iV822576) | (~cC116(iV822576))) <=> cC136(iV822576)) | (cC134(iV822576) | (~cC116(iV822576))) | cC136(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(101,plain,
% 0.19/0.39 (cC136(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[100, 99, 53])).
% 0.19/0.39 tff(102,plain,
% 0.19/0.39 (^[X: $i] : refl((~((cC102(X) | cC108(X)) <=> cC110(X))) <=> (~((cC102(X) | cC108(X)) <=> cC110(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(103,plain,
% 0.19/0.39 (![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X))) <=> ![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[102])).
% 0.19/0.39 tff(104,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC102(X)) & (~cC108(X))) <=> (~(cC102(X) | cC108(X)))), ((cC110(X) <=> ((~cC102(X)) & (~cC108(X)))) <=> (cC110(X) <=> (~(cC102(X) | cC108(X)))))), rewrite((cC110(X) <=> (~(cC102(X) | cC108(X)))) <=> (~((cC102(X) | cC108(X)) <=> cC110(X)))), ((cC110(X) <=> ((~cC102(X)) & (~cC108(X)))) <=> (~((cC102(X) | cC108(X)) <=> cC110(X))))), rewrite((~((cC102(X) | cC108(X)) <=> cC110(X))) <=> (~((cC102(X) | cC108(X)) <=> cC110(X)))), ((cC110(X) <=> ((~cC102(X)) & (~cC108(X)))) <=> (~((cC102(X) | cC108(X)) <=> cC110(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(105,plain,
% 0.19/0.39 (![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X)))) <=> ![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[104])).
% 0.19/0.39 tff(106,plain,
% 0.19/0.39 (![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X)))) <=> ![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(107,axiom,(![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 0.19/0.39 tff(108,plain,
% 0.19/0.39 (![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.19/0.39 tff(109,plain,(
% 0.19/0.39 ![X: $i] : (cC110(X) <=> ((~cC102(X)) & (~cC108(X))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[108])).
% 0.19/0.39 tff(110,plain,
% 0.19/0.39 (![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.19/0.39 tff(111,plain,
% 0.19/0.39 (![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.19/0.39 tff(112,plain,
% 0.19/0.39 ((~![X: $i] : (~((cC102(X) | cC108(X)) <=> cC110(X)))) | (~((cC102(iV822576) | cC108(iV822576)) <=> cC110(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(113,plain,
% 0.19/0.39 (~((cC102(iV822576) | cC108(iV822576)) <=> cC110(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.19/0.39 tff(114,plain,
% 0.19/0.39 ((~cC108(iV822576)) <=> (~cC108(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(115,axiom,(~cC108(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_79')).
% 0.19/0.39 tff(116,plain,
% 0.19/0.39 (~cC108(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.19/0.39 tff(117,plain,
% 0.19/0.39 ((~cC102(iV822576)) <=> (~cC102(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(118,axiom,(~cC102(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_70')).
% 0.19/0.39 tff(119,plain,
% 0.19/0.39 (~cC102(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.19/0.39 tff(120,plain,
% 0.19/0.39 ((~(cC102(iV822576) | cC108(iV822576))) | cC102(iV822576) | cC108(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(121,plain,
% 0.19/0.39 (~(cC102(iV822576) | cC108(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[120, 119, 116])).
% 0.19/0.39 tff(122,plain,
% 0.19/0.39 (((cC102(iV822576) | cC108(iV822576)) <=> cC110(iV822576)) | (cC102(iV822576) | cC108(iV822576)) | cC110(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(123,plain,
% 0.19/0.39 (((cC102(iV822576) | cC108(iV822576)) <=> cC110(iV822576)) | cC110(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.19/0.39 tff(124,plain,
% 0.19/0.39 (cC110(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[123, 113])).
% 0.19/0.39 tff(125,plain,
% 0.19/0.39 (^[X: $i] : refl((~((cC10(X) | (~cC4(X))) <=> cC56(X))) <=> (~((cC10(X) | (~cC4(X))) <=> cC56(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(126,plain,
% 0.19/0.39 (![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X))) <=> ![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[125])).
% 0.19/0.39 tff(127,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC4(X) & (~cC10(X))) <=> (~(cC10(X) | (~cC4(X))))), ((cC56(X) <=> (cC4(X) & (~cC10(X)))) <=> (cC56(X) <=> (~(cC10(X) | (~cC4(X))))))), rewrite((cC56(X) <=> (~(cC10(X) | (~cC4(X))))) <=> (~((cC10(X) | (~cC4(X))) <=> cC56(X)))), ((cC56(X) <=> (cC4(X) & (~cC10(X)))) <=> (~((cC10(X) | (~cC4(X))) <=> cC56(X))))), rewrite((~((cC10(X) | (~cC4(X))) <=> cC56(X))) <=> (~((cC10(X) | (~cC4(X))) <=> cC56(X)))), ((cC56(X) <=> (cC4(X) & (~cC10(X)))) <=> (~((cC10(X) | (~cC4(X))) <=> cC56(X)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(128,plain,
% 0.19/0.39 (![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X)))) <=> ![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[127])).
% 0.19/0.39 tff(129,plain,
% 0.19/0.39 (![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X)))) <=> ![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X))))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(130,axiom,(![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_43')).
% 0.19/0.39 tff(131,plain,
% 0.19/0.39 (![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.19/0.39 tff(132,plain,(
% 0.19/0.39 ![X: $i] : (cC56(X) <=> (cC4(X) & (~cC10(X))))),
% 0.19/0.39 inference(skolemize,[status(sab)],[131])).
% 0.19/0.39 tff(133,plain,
% 0.19/0.39 (![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.19/0.39 tff(134,plain,
% 0.19/0.39 (![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.19/0.39 tff(135,plain,
% 0.19/0.39 ((~![X: $i] : (~((cC10(X) | (~cC4(X))) <=> cC56(X)))) | (~((cC10(iV822576) | (~cC4(iV822576))) <=> cC56(iV822576)))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(136,plain,
% 0.19/0.39 (~((cC10(iV822576) | (~cC4(iV822576))) <=> cC56(iV822576))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[135, 134])).
% 0.19/0.39 tff(137,plain,
% 0.19/0.39 ((~cC10(iV822576)) <=> (~cC10(iV822576))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(138,axiom,(~cC10(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_84')).
% 0.19/0.39 tff(139,plain,
% 0.19/0.39 (~cC10(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.19/0.39 tff(140,plain,
% 0.19/0.39 (cC4(iV822576) <=> cC4(iV822576)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(141,axiom,(cC4(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_75')).
% 0.19/0.39 tff(142,plain,
% 0.19/0.39 (cC4(iV822576)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.39 tff(143,plain,
% 0.19/0.39 ((~(cC10(iV822576) | (~cC4(iV822576)))) | cC10(iV822576) | (~cC4(iV822576))),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(144,plain,
% 0.19/0.39 (~(cC10(iV822576) | (~cC4(iV822576)))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[143, 142, 139])).
% 0.19/0.39 tff(145,plain,
% 0.19/0.39 (((cC10(iV822576) | (~cC4(iV822576))) <=> cC56(iV822576)) | (cC10(iV822576) | (~cC4(iV822576))) | cC56(iV822576)),
% 0.19/0.39 inference(tautology,[status(thm)],[])).
% 0.19/0.39 tff(146,plain,
% 0.19/0.39 (((cC10(iV822576) | (~cC4(iV822576))) <=> cC56(iV822576)) | cC56(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[145, 144])).
% 0.19/0.39 tff(147,plain,
% 0.19/0.39 (cC56(iV822576)),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[146, 136])).
% 0.19/0.39 tff(148,plain,
% 0.19/0.39 (^[X: $i] : refl((~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(149,plain,
% 0.19/0.39 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> ![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[148])).
% 0.19/0.39 tff(150,plain,
% 0.19/0.39 (^[X: $i] : trans(trans(monotonicity(rewrite((cC34(X) & cC56(X)) <=> (~((~cC34(X)) | (~cC56(X))))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (cC58(X) <=> (~((~cC34(X)) | (~cC56(X))))))), rewrite((cC58(X) <=> (~((~cC34(X)) | (~cC56(X))))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))))), rewrite((~(((~cC34(X)) | (~cC56(X))) <=> cC58(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))), ((cC58(X) <=> (cC34(X) & cC56(X))) <=> (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(151,plain,
% 0.19/0.40 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X))) <=> ![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[150])).
% 0.19/0.40 tff(152,plain,
% 0.19/0.40 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X))) <=> ![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(153,axiom,(![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_44')).
% 0.19/0.40 tff(154,plain,
% 0.19/0.40 (![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.19/0.40 tff(155,plain,(
% 0.19/0.40 ![X: $i] : (cC58(X) <=> (cC34(X) & cC56(X)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[154])).
% 0.19/0.40 tff(156,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[155, 151])).
% 0.19/0.40 tff(157,plain,
% 0.19/0.40 (![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[156, 149])).
% 0.19/0.40 tff(158,plain,
% 0.19/0.40 ((~![X: $i] : (~(((~cC34(X)) | (~cC56(X))) <=> cC58(X)))) | (~(((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(159,plain,
% 0.19/0.40 (~(((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.19/0.40 tff(160,plain,
% 0.19/0.40 (cC34(iV822576) <=> cC34(iV822576)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(161,axiom,(cC34(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_74')).
% 0.19/0.40 tff(162,plain,
% 0.19/0.40 (cC34(iV822576)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.19/0.40 tff(163,plain,
% 0.19/0.40 ((~((~cC34(iV822576)) | (~cC56(iV822576)))) | (~cC34(iV822576)) | (~cC56(iV822576))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(164,plain,
% 0.19/0.40 ((~((~cC34(iV822576)) | (~cC56(iV822576)))) | (~cC56(iV822576))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.19/0.40 tff(165,plain,
% 0.19/0.40 (~((~cC34(iV822576)) | (~cC56(iV822576)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[164, 147])).
% 0.19/0.40 tff(166,plain,
% 0.19/0.40 ((((~cC34(iV822576)) | (~cC56(iV822576))) <=> cC58(iV822576)) | ((~cC34(iV822576)) | (~cC56(iV822576))) | cC58(iV822576)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(167,plain,
% 0.19/0.40 (cC58(iV822576)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[166, 165, 159])).
% 0.19/0.40 tff(168,plain,
% 0.19/0.40 (^[X: $i] : refl((~((cC86(X) | cC92(X)) <=> cC94(X))) <=> (~((cC86(X) | cC92(X)) <=> cC94(X))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(169,plain,
% 0.19/0.40 (![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X))) <=> ![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[168])).
% 0.19/0.40 tff(170,plain,
% 0.19/0.40 (^[X: $i] : trans(trans(monotonicity(rewrite(((~cC86(X)) & (~cC92(X))) <=> (~(cC86(X) | cC92(X)))), ((cC94(X) <=> ((~cC86(X)) & (~cC92(X)))) <=> (cC94(X) <=> (~(cC86(X) | cC92(X)))))), rewrite((cC94(X) <=> (~(cC86(X) | cC92(X)))) <=> (~((cC86(X) | cC92(X)) <=> cC94(X)))), ((cC94(X) <=> ((~cC86(X)) & (~cC92(X)))) <=> (~((cC86(X) | cC92(X)) <=> cC94(X))))), rewrite((~((cC86(X) | cC92(X)) <=> cC94(X))) <=> (~((cC86(X) | cC92(X)) <=> cC94(X)))), ((cC94(X) <=> ((~cC86(X)) & (~cC92(X)))) <=> (~((cC86(X) | cC92(X)) <=> cC94(X)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(171,plain,
% 0.19/0.40 (![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X)))) <=> ![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[170])).
% 0.19/0.40 tff(172,plain,
% 0.19/0.40 (![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X)))) <=> ![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(173,axiom,(![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_64')).
% 0.19/0.40 tff(174,plain,
% 0.19/0.40 (![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.19/0.40 tff(175,plain,(
% 0.19/0.40 ![X: $i] : (cC94(X) <=> ((~cC86(X)) & (~cC92(X))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[174])).
% 0.19/0.40 tff(176,plain,
% 0.19/0.40 (![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[175, 171])).
% 0.19/0.40 tff(177,plain,
% 0.19/0.40 (![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.19/0.40 tff(178,plain,
% 0.19/0.40 ((~![X: $i] : (~((cC86(X) | cC92(X)) <=> cC94(X)))) | (~((cC86(iV822576) | cC92(iV822576)) <=> cC94(iV822576)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(179,plain,
% 0.19/0.40 (~((cC86(iV822576) | cC92(iV822576)) <=> cC94(iV822576))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[178, 177])).
% 0.19/0.40 tff(180,plain,
% 0.19/0.40 ((~cC92(iV822576)) <=> (~cC92(iV822576))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(181,axiom,(~cC92(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_78')).
% 0.19/0.40 tff(182,plain,
% 0.19/0.40 (~cC92(iV822576)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.19/0.40 tff(183,plain,
% 0.19/0.40 ((~cC86(iV822576)) <=> (~cC86(iV822576))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(184,axiom,(~cC86(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_77')).
% 0.19/0.40 tff(185,plain,
% 0.19/0.40 (~cC86(iV822576)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.19/0.40 tff(186,plain,
% 0.19/0.40 ((~(cC86(iV822576) | cC92(iV822576))) | cC86(iV822576) | cC92(iV822576)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(187,plain,
% 0.19/0.40 (~(cC86(iV822576) | cC92(iV822576))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[186, 185, 182])).
% 0.19/0.40 tff(188,plain,
% 0.19/0.40 (((cC86(iV822576) | cC92(iV822576)) <=> cC94(iV822576)) | (cC86(iV822576) | cC92(iV822576)) | cC94(iV822576)),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(189,plain,
% 0.19/0.40 (((cC86(iV822576) | cC92(iV822576)) <=> cC94(iV822576)) | cC94(iV822576)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.19/0.40 tff(190,plain,
% 0.19/0.40 (cC94(iV822576)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[189, 179])).
% 0.19/0.40 tff(191,plain,
% 0.19/0.40 (cowlThing(iV822576) <=> cowlThing(iV822576)),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(192,axiom,(cowlThing(iV822576)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_80')).
% 0.19/0.40 tff(193,plain,
% 0.19/0.40 (cowlThing(iV822576)),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.19/0.40 tff(194,plain,
% 0.19/0.40 (((cowlNothing(X!13) | (~cowlThing(X!13))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576))) <=> (cowlNothing(X!13) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576)) | (~cowlThing(X!13)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(195,plain,
% 0.19/0.40 ((~(~(cowlNothing(X!13) | (~cowlThing(X!13))))) <=> (cowlNothing(X!13) | (~cowlThing(X!13)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(196,plain,
% 0.19/0.40 ((cowlThing(X!13) & (~cowlNothing(X!13))) <=> (~(cowlNothing(X!13) | (~cowlThing(X!13))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(197,plain,
% 0.19/0.40 ((~(cowlThing(X!13) & (~cowlNothing(X!13)))) <=> (~(~(cowlNothing(X!13) | (~cowlThing(X!13)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[196])).
% 0.19/0.40 tff(198,plain,
% 0.19/0.40 ((~(cowlThing(X!13) & (~cowlNothing(X!13)))) <=> (cowlNothing(X!13) | (~cowlThing(X!13)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[197, 195])).
% 0.19/0.40 tff(199,plain,
% 0.19/0.40 (((~(cowlThing(X!13) & (~cowlNothing(X!13)))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576))) <=> ((cowlNothing(X!13) | (~cowlThing(X!13))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[198])).
% 0.19/0.40 tff(200,plain,
% 0.19/0.40 (((~(cowlThing(X!13) & (~cowlNothing(X!13)))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576))) <=> (cowlNothing(X!13) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576)) | (~cowlThing(X!13)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[199, 194])).
% 0.19/0.40 tff(201,plain,
% 0.19/0.40 (((~(cowlThing(X!13) & (~cowlNothing(X!13)))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576))) <=> ((~(cowlThing(X!13) & (~cowlNothing(X!13)))) | (xsd_integer(X!14) <=> xsd_string(X!14)) | (~cC94(iV822576)) | (~cowlThing(iV822576)) | (~cC58(iV822576)) | (~cC116(iV822576)) | (~cC56(iV822576)) | (~cC110(iV822576)) | (~cC114(iV822576)) | (~cC136(iV822576)) | (~cC80(iV822576)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(202,plain,
% 0.19/0.40 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(203,plain,
% 0.19/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[202])).
% 0.19/0.40 tff(204,plain,
% 0.19/0.40 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(205,plain,
% 0.19/0.40 ((~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC94(iV822576)) & cowlThing(iV822576)) & cC58(iV822576)) & cC116(iV822576)) & cC56(iV822576)) & cC110(iV822576)) & cC114(iV822576)) & cC136(iV822576)) & cC80(iV822576))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(206,axiom,(~((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC94(iV822576)) & cowlThing(iV822576)) & cC58(iV822576)) & cC116(iV822576)) & cC56(iV822576)) & cC110(iV822576)) & cC114(iV822576)) & cC136(iV822576)) & cC80(iV822576))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.41 tff(207,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.19/0.41 tff(208,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[207, 203])).
% 0.19/0.41 tff(209,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[208, 204])).
% 0.19/0.41 tff(210,plain,
% 0.19/0.41 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & cC94(iV822576) & cowlThing(iV822576) & cC58(iV822576) & cC116(iV822576) & cC56(iV822576) & cC110(iV822576) & cC114(iV822576) & cC136(iV822576) & cC80(iV822576))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[209, 203])).
% 0.19/0.41 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.41 (a!2 (not (and (cowlThing X!13) (not (cowlNothing X!13)))))
% 0.19/0.41 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.41 (a!5 (refl (~ (not (cC94 iV822576)) (not (cC94 iV822576)))))
% 0.19/0.41 (a!6 (refl (~ (not (cowlThing iV822576)) (not (cowlThing iV822576)))))
% 0.19/0.41 (a!7 (refl (~ (not (cC58 iV822576)) (not (cC58 iV822576)))))
% 0.19/0.41 (a!8 (refl (~ (not (cC116 iV822576)) (not (cC116 iV822576)))))
% 0.19/0.41 (a!9 (refl (~ (not (cC56 iV822576)) (not (cC56 iV822576)))))
% 0.19/0.41 (a!10 (refl (~ (not (cC110 iV822576)) (not (cC110 iV822576)))))
% 0.19/0.41 (a!11 (refl (~ (not (cC114 iV822576)) (not (cC114 iV822576)))))
% 0.19/0.41 (a!12 (refl (~ (not (cC136 iV822576)) (not (cC136 iV822576)))))
% 0.19/0.41 (a!13 (refl (~ (not (cC80 iV822576)) (not (cC80 iV822576))))))
% 0.19/0.41 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!14) (xsd_string X!14)))))
% 0.19/0.41 (a!14 (~ (not (and a!1
% 0.19/0.41 a!3
% 0.19/0.41 (cC94 iV822576)
% 0.19/0.41 (cowlThing iV822576)
% 0.19/0.41 (cC58 iV822576)
% 0.19/0.41 (cC116 iV822576)
% 0.19/0.41 (cC56 iV822576)
% 0.19/0.41 (cC110 iV822576)
% 0.19/0.41 (cC114 iV822576)
% 0.19/0.41 (cC136 iV822576)
% 0.19/0.41 (cC80 iV822576)))
% 0.19/0.41 (or a!2
% 0.19/0.41 (= (xsd_integer X!14) (xsd_string X!14))
% 0.19/0.41 (not (cC94 iV822576))
% 0.19/0.41 (not (cowlThing iV822576))
% 0.19/0.41 (not (cC58 iV822576))
% 0.19/0.41 (not (cC116 iV822576))
% 0.19/0.41 (not (cC56 iV822576))
% 0.19/0.41 (not (cC110 iV822576))
% 0.19/0.41 (not (cC114 iV822576))
% 0.19/0.41 (not (cC136 iV822576))
% 0.19/0.41 (not (cC80 iV822576))))))
% 0.19/0.41 (nnf-neg (sk (~ (not a!1) a!2))
% 0.19/0.41 a!4
% 0.19/0.41 a!5
% 0.19/0.41 a!6
% 0.19/0.41 a!7
% 0.19/0.41 a!8
% 0.19/0.41 a!9
% 0.19/0.41 a!10
% 0.19/0.41 a!11
% 0.19/0.41 a!12
% 0.19/0.41 a!13
% 0.19/0.41 a!14)))
% 0.19/0.41 Proof display could not be completed: unexpected number of arguments
% 0.19/0.41 % E exiting
%------------------------------------------------------------------------------