%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS167+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:13:30 AM UTC 2025
% Result : Theorem 0.19s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS167+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n001.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 19:16:04 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % SZS output start Proof
% 0.19/0.36 tff(cc1_type, type, (
% 0.19/0.36 cc1: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_5_type, type, (
% 0.19/0.36 tptp_fun_X_5: $i)).
% 0.19/0.36 tff(rp_type, type, (
% 0.19/0.36 rp: ( $i * $i ) > $o)).
% 0.19/0.36 tff(tptp_fun_Y0_0_type, type, (
% 0.19/0.36 tptp_fun_Y0_0: $i > $i)).
% 0.19/0.36 tff(cc2_type, type, (
% 0.19/0.36 cc2: $i > $o)).
% 0.19/0.36 tff(tptp_fun_Y1_1_type, type, (
% 0.19/0.36 tptp_fun_Y1_1: $i > $i)).
% 0.19/0.36 tff(tptp_fun_Y0_2_type, type, (
% 0.19/0.36 tptp_fun_Y0_2: $i > $i)).
% 0.19/0.36 tff(xsd_string_type, type, (
% 0.19/0.36 xsd_string: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_4_type, type, (
% 0.19/0.36 tptp_fun_X_4: $i)).
% 0.19/0.36 tff(xsd_integer_type, type, (
% 0.19/0.36 xsd_integer: $i > $o)).
% 0.19/0.36 tff(cowlThing_type, type, (
% 0.19/0.36 cowlThing: $i > $o)).
% 0.19/0.36 tff(tptp_fun_X_3_type, type, (
% 0.19/0.36 tptp_fun_X_3: $i)).
% 0.19/0.36 tff(cowlNothing_type, type, (
% 0.19/0.36 cowlNothing: $i > $o)).
% 0.19/0.36 tff(1,plain,
% 0.19/0.36 (^[X: $i] : refl((~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))) <=> (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(2,plain,
% 0.19/0.36 (![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))) <=> ![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.36 tff(3,plain,
% 0.19/0.36 (^[X: $i] : rewrite((~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))) <=> (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(4,plain,
% 0.19/0.36 (![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))) <=> ![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.36 tff(5,plain,
% 0.19/0.36 (![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))) <=> ![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.36 inference(transitivity,[status(thm)],[4, 2])).
% 0.19/0.36 tff(6,plain,
% 0.19/0.36 (^[X: $i] : trans(monotonicity(rewrite(((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) <=> ((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))), trans(monotonicity(rewrite((~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) <=> (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))), ((cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))) <=> (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))))), rewrite((cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))) <=> (cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))), ((cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))) <=> (cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))), ((((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))))) <=> (((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1))))))) & (cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))))), rewrite((((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1))))))) & (cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0)))) <=> (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))), ((((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))))) <=> (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(7,plain,
% 0.19/0.36 (![X: $i] : (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))))) <=> ![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.36 inference(quant_intro,[status(thm)],[6])).
% 0.19/0.36 tff(8,plain,
% 0.19/0.36 (^[X: $i] : rewrite((((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | (![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))))) <=> (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))))))),
% 0.19/0.36 inference(bind,[status(th)],[])).
% 0.19/0.36 tff(9,plain,
% 0.19/0.36 (![X: $i] : (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | (![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))))) <=> ![X: $i] : (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[8])).
% 0.19/0.37 tff(10,plain,
% 0.19/0.37 (![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) <=> ![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(11,plain,
% 0.19/0.37 (^[X: $i] : rewrite((cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((rp(X, Y0) & rp(X, Y1)) => (Y0 = Y1)))) <=> (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(12,plain,
% 0.19/0.37 (![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((rp(X, Y0) & rp(X, Y1)) => (Y0 = Y1)))) <=> ![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1))))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[11])).
% 0.19/0.37 tff(13,axiom,(![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((rp(X, Y0) & rp(X, Y1)) => (Y0 = Y1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.19/0.37 tff(14,plain,
% 0.19/0.37 (![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.37 tff(15,plain,
% 0.19/0.37 (![X: $i] : (cc2(X) <=> (?[Y0: $i] : rp(X, Y0) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.19/0.37 tff(16,plain,(
% 0.19/0.37 ![X: $i] : (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | (![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))))))),
% 0.19/0.37 inference(skolemize,[status(sab)],[15])).
% 0.19/0.37 tff(17,plain,
% 0.19/0.37 (![X: $i] : (((~cc2(X)) | (rp(X, tptp_fun_Y0_0(X)) & ![Y0: $i, Y1: $i] : ((~(rp(X, Y0) & rp(X, Y1))) | (Y0 = Y1)))) & (cc2(X) | ![Y0: $i] : (~rp(X, Y0)) | (~((~(rp(X, tptp_fun_Y0_2(X)) & rp(X, tptp_fun_Y1_1(X)))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.19/0.37 tff(18,plain,
% 0.19/0.37 (![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[17, 7])).
% 0.19/0.37 tff(19,plain,
% 0.19/0.37 (![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[18, 5])).
% 0.19/0.37 tff(20,plain,
% 0.19/0.37 (((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0))))))))))) <=> ((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0)))))))))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(21,plain,
% 0.19/0.37 ((~((~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y0)) | (~rp(X!5, Y1)))))))) | (~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))))) <=> (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0))))))))))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(22,plain,
% 0.19/0.37 (((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y0)) | (~rp(X!5, Y1)))))))) | (~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0))))))) <=> ((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0)))))))))))),
% 0.19/0.37 inference(monotonicity,[status(thm)],[21])).
% 0.19/0.37 tff(23,plain,
% 0.19/0.37 (((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y0)) | (~rp(X!5, Y1)))))))) | (~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0))))))) <=> ((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0)))))))))))),
% 0.19/0.37 inference(transitivity,[status(thm)],[22, 20])).
% 0.19/0.37 tff(24,plain,
% 0.19/0.37 ((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y0)) | (~rp(X!5, Y1)))))))) | (~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0))))))),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(25,plain,
% 0.19/0.37 ((~![X: $i] : (~((~((~cc2(X)) | (~((~rp(X, tptp_fun_Y0_0(X))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X, Y0)) | (~rp(X, Y1)))))))) | (~(cc2(X) | (~((~rp(X, tptp_fun_Y0_2(X))) | (~rp(X, tptp_fun_Y1_1(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)))) | ![Y0: $i] : (~rp(X, Y0))))))) | (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0))))))))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.19/0.37 tff(26,plain,
% 0.19/0.37 (~((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0)))))))))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[25, 19])).
% 0.19/0.37 tff(27,plain,
% 0.19/0.37 (((~(cc2(X!5) | (~((~rp(X!5, tptp_fun_Y0_2(X!5))) | (~rp(X!5, tptp_fun_Y1_1(X!5))) | (tptp_fun_Y0_2(X!5) = tptp_fun_Y1_1(X!5)))) | ![Y0: $i] : (~rp(X!5, Y0)))) | (~((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0))))))))) | ((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0)))))))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(28,plain,
% 0.19/0.37 ((~cc2(X!5)) | (~((~rp(X!5, tptp_fun_Y0_0(X!5))) | (~![Y0: $i, Y1: $i] : ((Y0 = Y1) | (~rp(X!5, Y1)) | (~rp(X!5, Y0))))))),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.19/0.37 tff(29,assumption,(xsd_integer(X!4) <=> xsd_string(X!4)), introduced(assumption)).
% 0.19/0.37 tff(30,plain,
% 0.19/0.37 (^[X: $i] : refl((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(31,plain,
% 0.19/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[30])).
% 0.19/0.37 tff(32,plain,
% 0.19/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(33,plain,
% 0.19/0.37 (^[X: $i] : trans(rewrite((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), rewrite((~(xsd_integer(X) <=> xsd_string(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))), ((xsd_string(X) <=> (~xsd_integer(X))) <=> (~(xsd_integer(X) <=> xsd_string(X)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(34,plain,
% 0.19/0.37 (![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) <=> ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[33])).
% 0.19/0.37 tff(35,axiom,(![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_1')).
% 0.19/0.37 tff(36,plain,
% 0.19/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.37 tff(37,plain,
% 0.19/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.37 tff(38,plain,(
% 0.19/0.37 ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(skolemize,[status(sab)],[37])).
% 0.19/0.37 tff(39,plain,
% 0.19/0.37 (![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.19/0.37 tff(40,plain,
% 0.19/0.37 ((~![X: $i] : (~(xsd_integer(X) <=> xsd_string(X)))) | (~(xsd_integer(X!4) <=> xsd_string(X!4)))),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(41,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[40, 39, 29])).
% 0.19/0.37 tff(42,plain,(~(xsd_integer(X!4) <=> xsd_string(X!4))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(43,assumption,(cowlNothing(X!3) | (~cowlThing(X!3))), introduced(assumption)).
% 0.19/0.37 tff(44,plain,
% 0.19/0.37 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(45,plain,
% 0.19/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.37 tff(46,plain,
% 0.19/0.37 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.19/0.37 inference(bind,[status(th)],[])).
% 0.19/0.37 tff(47,plain,
% 0.19/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.37 inference(quant_intro,[status(thm)],[46])).
% 0.19/0.37 tff(48,plain,
% 0.19/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.37 inference(rewrite,[status(thm)],[])).
% 0.19/0.37 tff(49,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.19/0.37 tff(50,plain,
% 0.19/0.37 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.37 tff(51,plain,(
% 0.19/0.37 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.19/0.37 inference(skolemize,[status(sab)],[50])).
% 0.19/0.37 tff(52,plain,
% 0.19/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.19/0.37 tff(53,plain,
% 0.19/0.37 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.19/0.37 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.19/0.37 tff(54,plain,
% 0.19/0.37 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(X!3) | (~cowlThing(X!3))))),
% 0.19/0.37 inference(quant_inst,[status(thm)],[])).
% 0.19/0.37 tff(55,plain,
% 0.19/0.37 ($false),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[54, 53, 43])).
% 0.19/0.37 tff(56,plain,(~(cowlNothing(X!3) | (~cowlThing(X!3)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.37 tff(57,plain,
% 0.19/0.37 ((cowlNothing(X!3) | (~cowlThing(X!3))) | cowlThing(X!3)),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(58,plain,
% 0.19/0.37 (cowlThing(X!3)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.19/0.37 tff(59,plain,
% 0.19/0.37 ((cowlNothing(X!3) | (~cowlThing(X!3))) | (~cowlNothing(X!3))),
% 0.19/0.37 inference(tautology,[status(thm)],[])).
% 0.19/0.37 tff(60,plain,
% 0.19/0.37 (~cowlNothing(X!3)),
% 0.19/0.37 inference(unit_resolution,[status(thm)],[59, 56])).
% 0.19/0.37 tff(61,plain,
% 0.19/0.37 (((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | ((~cowlThing(X!3)) | cowlNothing(X!3))) <=> ((xsd_integer(X!4) <=> xsd_string(X!4)) | (~cowlThing(X!3)) | (~(cc1(X!5) <=> cc2(X!5))) | cowlNothing(X!3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(62,plain,
% 0.19/0.38 ((~(~((~cowlThing(X!3)) | cowlNothing(X!3)))) <=> ((~cowlThing(X!3)) | cowlNothing(X!3))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(63,plain,
% 0.19/0.38 ((cowlThing(X!3) & (~cowlNothing(X!3))) <=> (~((~cowlThing(X!3)) | cowlNothing(X!3)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(64,plain,
% 0.19/0.38 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> (~(~((~cowlThing(X!3)) | cowlNothing(X!3))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[63])).
% 0.19/0.38 tff(65,plain,
% 0.19/0.38 ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) <=> ((~cowlThing(X!3)) | cowlNothing(X!3))),
% 0.19/0.38 inference(transitivity,[status(thm)],[64, 62])).
% 0.19/0.38 tff(66,plain,
% 0.19/0.38 ((~(cc1(X!5) <=> cc2(X!5))) <=> (~(cc1(X!5) <=> cc2(X!5)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(67,plain,
% 0.19/0.38 (((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | (~(cowlThing(X!3) & (~cowlNothing(X!3))))) <=> ((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | ((~cowlThing(X!3)) | cowlNothing(X!3)))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[66, 65])).
% 0.19/0.38 tff(68,plain,
% 0.19/0.38 (((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | (~(cowlThing(X!3) & (~cowlNothing(X!3))))) <=> ((xsd_integer(X!4) <=> xsd_string(X!4)) | (~cowlThing(X!3)) | (~(cc1(X!5) <=> cc2(X!5))) | cowlNothing(X!3))),
% 0.19/0.38 inference(transitivity,[status(thm)],[67, 61])).
% 0.19/0.38 tff(69,plain,
% 0.19/0.38 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5)))) <=> ((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | (~(cowlThing(X!3) & (~cowlNothing(X!3)))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(70,plain,
% 0.19/0.38 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5)))) <=> ((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[66])).
% 0.19/0.38 tff(71,plain,
% 0.19/0.38 (((~(cowlThing(X!3) & (~cowlNothing(X!3)))) | (xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5)))) <=> ((xsd_integer(X!4) <=> xsd_string(X!4)) | (~(cc1(X!5) <=> cc2(X!5))) | (~(cowlThing(X!3) & (~cowlNothing(X!3)))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[70, 69])).
% 0.19/0.38 tff(72,plain,
% 0.19/0.38 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X))) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(73,plain,
% 0.19/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[72])).
% 0.19/0.38 tff(74,plain,
% 0.19/0.38 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(75,plain,
% 0.19/0.38 ((~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cc1(X) <=> cc2(X)))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(76,axiom,(~((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & ![X: $i] : (cc1(X) <=> cc2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','the_axiom')).
% 0.19/0.38 tff(77,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.19/0.38 tff(78,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.19/0.38 tff(79,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.19/0.38 tff(80,plain,
% 0.19/0.38 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (~(xsd_integer(X) <=> xsd_string(X))) & ![X: $i] : (cc1(X) <=> cc2(X)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[79, 73])).
% 0.19/0.38 unexpected number of arguments: (let ((a!1 (forall ((X $i)) (and (cowlThing X) (not (cowlNothing X)))))
% 0.19/0.38 (a!2 (not (and (cowlThing X!3) (not (cowlNothing X!3)))))
% 0.19/0.38 (a!3 (forall ((X $i)) (not (= (xsd_integer X) (xsd_string X)))))
% 0.19/0.38 (a!5 (forall ((X $i)) (= (cc1 X) (cc2 X)))))
% 0.19/0.38 (let ((a!4 (sk (~ (not a!3) (= (xsd_integer X!4) (xsd_string X!4)))))
% 0.19/0.38 (a!6 (~ (not a!5) (not (= (cc1 X!5) (cc2 X!5)))))
% 0.19/0.38 (a!7 (or a!2
% 0.19/0.38 (= (xsd_integer X!4) (xsd_string X!4))
% 0.19/0.38 (not (= (cc1 X!5) (cc2 X!5))))))
% 0.19/0.38 (nnf-neg (sk (~ (not a!1) a!2)) a!4 (sk a!6) (~ (not (and a!1 a!3 a!5)) a!7))))
% 0.19/0.38 Proof display could not be completed: unexpected number of arguments
% 0.19/0.38 % E exiting
%------------------------------------------------------------------------------