%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS089+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:13:21 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS089+1 : TPTP v9.0.0. Released v3.1.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 19:12:20 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 tff(tptp_fun_Y0_2_type, type, (
% 0.20/0.39 tptp_fun_Y0_2: $i > $i)).
% 0.20/0.39 tff(i2003_11_14_17_19_53168_type, type, (
% 0.20/0.39 i2003_11_14_17_19_53168: $i)).
% 0.20/0.39 tff(tptp_fun_Y1_1_type, type, (
% 0.20/0.39 tptp_fun_Y1_1: $i > $i)).
% 0.20/0.39 tff(tptp_fun_Y2_0_type, type, (
% 0.20/0.39 tptp_fun_Y2_0: $i > $i)).
% 0.20/0.39 tff(rr_type, type, (
% 0.20/0.39 rr: ( $i * $i ) > $o)).
% 0.20/0.39 tff(cUnsatisfiable_type, type, (
% 0.20/0.39 cUnsatisfiable: $i > $o)).
% 0.20/0.39 tff(rinvP_type, type, (
% 0.20/0.39 rinvP: ( $i * $i ) > $o)).
% 0.20/0.39 tff(ispy_type, type, (
% 0.20/0.39 ispy: $i)).
% 0.20/0.39 tff(rp_type, type, (
% 0.20/0.39 rp: ( $i * $i ) > $o)).
% 0.20/0.39 tff(cowlThing_type, type, (
% 0.20/0.39 cowlThing: $i > $o)).
% 0.20/0.39 tff(cowlNothing_type, type, (
% 0.20/0.39 cowlNothing: $i > $o)).
% 0.20/0.39 tff(1,plain,
% 0.20/0.39 ((tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) <=> (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.39 inference(commutativity,[status(thm)],[])).
% 0.20/0.39 tff(2,plain,
% 0.20/0.39 ((tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) <=> (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.39 inference(symmetry,[status(thm)],[1])).
% 0.20/0.39 tff(3,plain,
% 0.20/0.39 ((~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168))) <=> (~(tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[2])).
% 0.20/0.39 tff(4,plain,
% 0.20/0.39 (cUnsatisfiable(i2003_11_14_17_19_53168) <=> cUnsatisfiable(i2003_11_14_17_19_53168)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(5,axiom,(cUnsatisfiable(i2003_11_14_17_19_53168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_7')).
% 0.20/0.39 tff(6,plain,
% 0.20/0.39 (cUnsatisfiable(i2003_11_14_17_19_53168)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.39 tff(7,plain,
% 0.20/0.39 (^[X: $i] : refl(((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))) <=> ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(8,plain,
% 0.20/0.39 (![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))) <=> ![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[7])).
% 0.20/0.39 tff(9,plain,
% 0.20/0.39 (^[X: $i] : rewrite(((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y0_2(X)) & rr(X, tptp_fun_Y1_1(X)) & rr(X, tptp_fun_Y2_0(X)) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X))) & (~(tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))) <=> ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(10,plain,
% 0.20/0.39 (![X: $i] : ((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y0_2(X)) & rr(X, tptp_fun_Y1_1(X)) & rr(X, tptp_fun_Y2_0(X)) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X))) & (~(tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X))))) <=> ![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[9])).
% 0.20/0.39 tff(11,plain,
% 0.20/0.39 (![X: $i] : ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2)))) <=> ![X: $i] : ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(12,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y0: $i, Y1: $i, Y2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2))), ((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) <=> ((rr(X, Y0) & rr(X, Y1) & rr(X, Y2)) & (~(Y0 = Y1))))), rewrite(((rr(X, Y0) & rr(X, Y1) & rr(X, Y2)) & (~(Y0 = Y1))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)))), ((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1))))), (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) <=> ((rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1))) & (~(Y0 = Y2))))), rewrite(((rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1))) & (~(Y0 = Y2))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)))), (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2))))), ((((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2))) <=> ((rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2))) & (~(Y1 = Y2))))), rewrite(((rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2))) & (~(Y1 = Y2))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2)))), ((((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2))) <=> (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2)))))), (?[Y0: $i, Y1: $i, Y2: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2))) <=> ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))), ((cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2)))) <=> (cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2)))))), rewrite((cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2)))) <=> ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))), ((cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2)))) <=> ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 (![X: $i] : (cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2)))) <=> ![X: $i] : ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.40 tff(14,axiom,(![X: $i] : (cUnsatisfiable(X) => ?[Y0: $i, Y1: $i, Y2: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & (~(Y0 = Y1))) & (~(Y0 = Y2))) & (~(Y1 = Y2))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.40 tff(15,plain,
% 0.20/0.40 (![X: $i] : ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 (![X: $i] : ((~cUnsatisfiable(X)) | ?[Y0: $i, Y1: $i, Y2: $i] : (rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & (~(Y0 = Y1)) & (~(Y0 = Y2)) & (~(Y1 = Y2))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.20/0.40 tff(17,plain,(
% 0.20/0.40 ![X: $i] : ((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y0_2(X)) & rr(X, tptp_fun_Y1_1(X)) & rr(X, tptp_fun_Y2_0(X)) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X))) & (~(tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X))) & (~(tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))),
% 0.20/0.40 inference(skolemize,[status(sab)],[16])).
% 0.20/0.40 tff(18,plain,
% 0.20/0.40 (![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.20/0.40 tff(19,plain,
% 0.20/0.40 (![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[18, 8])).
% 0.20/0.40 tff(20,plain,
% 0.20/0.40 (((~![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))) | ((~cUnsatisfiable(i2003_11_14_17_19_53168)) | (~((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))))) <=> ((~![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))) | (~cUnsatisfiable(i2003_11_14_17_19_53168)) | (~((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 ((~![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))) | ((~cUnsatisfiable(i2003_11_14_17_19_53168)) | (~((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 ((~![X: $i] : ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y0_2(X))) | (~rr(X, tptp_fun_Y1_1(X))) | (~rr(X, tptp_fun_Y2_0(X))) | (tptp_fun_Y0_2(X) = tptp_fun_Y1_1(X)) | (tptp_fun_Y0_2(X) = tptp_fun_Y2_0(X)) | (tptp_fun_Y1_1(X) = tptp_fun_Y2_0(X)))))) | (~cUnsatisfiable(i2003_11_14_17_19_53168)) | (~((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (~((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[22, 19, 6])).
% 0.20/0.40 tff(24,plain,
% 0.20/0.40 (((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 (~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.20/0.40 tff(26,plain,
% 0.20/0.40 (~(tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[25, 3])).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 (^[X: $i, Y: $i] : refl((rp(X, Y) <=> rinvP(Y, X)) <=> (rp(X, Y) <=> rinvP(Y, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X)) <=> ![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 (![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X)) <=> ![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(30,axiom,(![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_4')).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 (![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.20/0.40 tff(32,plain,(
% 0.20/0.40 ![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))),
% 0.20/0.40 inference(skolemize,[status(sab)],[31])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 ((~![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))) | (rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 (rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.40 tff(36,assumption,(~rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy)), introduced(assumption)).
% 0.20/0.40 tff(37,assumption,(cowlNothing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)))), introduced(assumption)).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 (^[X: $i] : refl((~(cowlNothing(X) | (~cowlThing(X)))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X)))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[38])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 (^[X: $i] : rewrite((cowlThing(X) & (~cowlNothing(X))) <=> (~(cowlNothing(X) | (~cowlThing(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[40])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) <=> ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(43,axiom,(![X: $i] : (cowlThing(X) & (~cowlNothing(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_0')).
% 0.20/0.40 tff(44,plain,
% 0.20/0.40 (![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.20/0.40 tff(45,plain,(
% 0.20/0.40 ![X: $i] : (cowlThing(X) & (~cowlNothing(X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[44])).
% 0.20/0.40 tff(46,plain,
% 0.20/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.20/0.40 tff(47,plain,
% 0.20/0.40 (![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.20/0.40 tff(48,plain,
% 0.20/0.40 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(49,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[48, 47, 37])).
% 0.20/0.40 tff(50,plain,(~(cowlNothing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(51,plain,
% 0.20/0.40 ((cowlNothing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168)))) | cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(52,plain,
% 0.20/0.40 (cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.20/0.40 tff(53,plain,
% 0.20/0.40 (^[X: $i] : refl(((~cowlThing(X)) | rp(X, ispy)) <=> ((~cowlThing(X)) | rp(X, ispy)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(54,plain,
% 0.20/0.40 (![X: $i] : ((~cowlThing(X)) | rp(X, ispy)) <=> ![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 (![X: $i] : ((~cowlThing(X)) | rp(X, ispy)) <=> ![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(56,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(trans(der(?[Y: $i] : (rp(X, Y) & (Y = ispy)) <=> ?[Y: $i] : rp(X, ispy)), elim_unused(?[Y: $i] : rp(X, ispy) <=> rp(X, ispy)), (?[Y: $i] : (rp(X, Y) & (Y = ispy)) <=> rp(X, ispy))), ((cowlThing(X) => ?[Y: $i] : (rp(X, Y) & (Y = ispy))) <=> (cowlThing(X) => rp(X, ispy)))), rewrite((cowlThing(X) => rp(X, ispy)) <=> ((~cowlThing(X)) | rp(X, ispy))), ((cowlThing(X) => ?[Y: $i] : (rp(X, Y) & (Y = ispy))) <=> ((~cowlThing(X)) | rp(X, ispy))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 (![X: $i] : (cowlThing(X) => ?[Y: $i] : (rp(X, Y) & (Y = ispy))) <=> ![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.40 tff(58,axiom,(![X: $i] : (cowlThing(X) => ?[Y: $i] : (rp(X, Y) & (Y = ispy)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_3')).
% 0.20/0.40 tff(59,plain,
% 0.20/0.40 (![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.40 tff(60,plain,
% 0.20/0.40 (![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.40 tff(61,plain,(
% 0.20/0.40 ![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(skolemize,[status(sab)],[60])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 (![X: $i] : ((~cowlThing(X)) | rp(X, ispy))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.20/0.40 tff(63,plain,
% 0.20/0.40 (((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy))) <=> ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(64,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(65,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.40 tff(66,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[65, 62, 52, 36])).
% 0.20/0.40 tff(67,plain,(rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(68,plain,
% 0.20/0.40 ((~(rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168)))) | (~rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy)) | rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(69,plain,
% 0.20/0.40 ((~(rp(tptp_fun_Y1_1(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168)))) | rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.20/0.40 tff(70,plain,
% 0.20/0.40 (rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[69, 35])).
% 0.20/0.40 tff(71,plain,
% 0.20/0.40 ((~![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))) | (rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(72,plain,
% 0.20/0.40 (rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[71, 33])).
% 0.20/0.40 tff(73,assumption,(~rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy)), introduced(assumption)).
% 0.20/0.40 tff(74,assumption,(cowlNothing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)))), introduced(assumption)).
% 0.20/0.40 tff(75,plain,
% 0.20/0.40 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(76,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[75, 47, 74])).
% 0.20/0.40 tff(77,plain,(~(cowlNothing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(78,plain,
% 0.20/0.40 ((cowlNothing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168)))) | cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(79,plain,
% 0.20/0.40 (cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.20/0.40 tff(80,plain,
% 0.20/0.40 (((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy))) <=> ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(81,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(82,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.20/0.40 tff(83,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[82, 62, 79, 73])).
% 0.20/0.40 tff(84,plain,(rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(85,plain,
% 0.20/0.40 ((~(rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168)))) | (~rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy)) | rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(86,plain,
% 0.20/0.40 ((~(rp(tptp_fun_Y0_2(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168)))) | rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.40 tff(87,plain,
% 0.20/0.40 (rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[86, 72])).
% 0.20/0.40 tff(88,plain,
% 0.20/0.40 ((tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) <=> (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(commutativity,[status(thm)],[])).
% 0.20/0.40 tff(89,plain,
% 0.20/0.40 ((tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) <=> (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(symmetry,[status(thm)],[88])).
% 0.20/0.40 tff(90,plain,
% 0.20/0.40 ((~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))) <=> (~(tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[89])).
% 0.20/0.40 tff(91,plain,
% 0.20/0.40 (((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(92,plain,
% 0.20/0.40 (~(tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[91, 23])).
% 0.20/0.40 tff(93,plain,
% 0.20/0.40 (~(tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[92, 90])).
% 0.20/0.40 tff(94,plain,
% 0.20/0.40 ((~![X: $i, Y: $i] : (rp(X, Y) <=> rinvP(Y, X))) | (rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(95,plain,
% 0.20/0.40 (rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[94, 33])).
% 0.20/0.40 tff(96,assumption,(~rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy)), introduced(assumption)).
% 0.20/0.40 tff(97,assumption,(cowlNothing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)))), introduced(assumption)).
% 0.20/0.40 tff(98,plain,
% 0.20/0.40 ((~![X: $i] : (~(cowlNothing(X) | (~cowlThing(X))))) | (~(cowlNothing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(99,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[98, 47, 97])).
% 0.20/0.40 tff(100,plain,(~(cowlNothing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(101,plain,
% 0.20/0.40 ((cowlNothing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168)))) | cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(102,plain,
% 0.20/0.40 (cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.20/0.40 tff(103,plain,
% 0.20/0.40 (((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy))) <=> ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(104,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | ((~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(105,plain,
% 0.20/0.40 ((~![X: $i] : ((~cowlThing(X)) | rp(X, ispy))) | (~cowlThing(tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[105, 62, 102, 96])).
% 0.20/0.40 tff(107,plain,(rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 ((~(rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168)))) | (~rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy)) | rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(109,plain,
% 0.20/0.41 ((~(rp(tptp_fun_Y2_0(i2003_11_14_17_19_53168), ispy) <=> rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168)))) | rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.20/0.41 tff(110,plain,
% 0.20/0.41 (rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[109, 95])).
% 0.20/0.41 tff(111,plain,
% 0.20/0.41 (((~rr(i2003_11_14_17_19_53168, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (~rr(i2003_11_14_17_19_53168, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y1_1(i2003_11_14_17_19_53168)) | (tptp_fun_Y0_2(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~(tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(112,plain,
% 0.20/0.41 (~(tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[111, 23])).
% 0.20/0.41 tff(113,plain,
% 0.20/0.41 (^[X0: $i, X1: $i, X2: $i] : refl(((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(114,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))) <=> ![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[113])).
% 0.20/0.41 tff(115,plain,
% 0.20/0.41 (^[X0: $i, X1: $i, X2: $i] : trans(monotonicity(trans(monotonicity(rewrite((rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)) <=> (~((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))))), ((~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))) <=> (~(~((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))))))), rewrite((~(~((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))))) <=> ((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))), ((~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))) <=> ((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0))))), (((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | ((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))))), rewrite(((X1 = X2) | (X0 = X1) | (X0 = X2) | ((~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))), (((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(116,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)))) <=> ![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[115])).
% 0.20/0.41 tff(117,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)))) <=> ![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(118,plain,
% 0.20/0.41 (^[X0: $i, X1: $i, X2: $i] : trans(monotonicity(rewrite(((rinvP(ispy, X0) & rinvP(ispy, X1)) & rinvP(ispy, X2)) <=> (rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))), trans(monotonicity(rewrite(((X0 = X1) | (X0 = X2)) <=> ((X0 = X1) | (X0 = X2))), ((((X0 = X1) | (X0 = X2)) | (X1 = X2)) <=> (((X0 = X1) | (X0 = X2)) | (X1 = X2)))), rewrite((((X0 = X1) | (X0 = X2)) | (X1 = X2)) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2))), ((((X0 = X1) | (X0 = X2)) | (X1 = X2)) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2)))), ((((rinvP(ispy, X0) & rinvP(ispy, X1)) & rinvP(ispy, X2)) => (((X0 = X1) | (X0 = X2)) | (X1 = X2))) <=> ((rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)) => ((X1 = X2) | (X0 = X1) | (X0 = X2))))), rewrite(((rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2)) => ((X1 = X2) | (X0 = X1) | (X0 = X2))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))), ((((rinvP(ispy, X0) & rinvP(ispy, X1)) & rinvP(ispy, X2)) => (((X0 = X1) | (X0 = X2)) | (X1 = X2))) <=> ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(119,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : (((rinvP(ispy, X0) & rinvP(ispy, X1)) & rinvP(ispy, X2)) => (((X0 = X1) | (X0 = X2)) | (X1 = X2))) <=> ![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[118])).
% 0.20/0.41 tff(120,axiom,(![X0: $i, X1: $i, X2: $i] : (((rinvP(ispy, X0) & rinvP(ispy, X1)) & rinvP(ispy, X2)) => (((X0 = X1) | (X0 = X2)) | (X1 = X2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','axiom_5')).
% 0.20/0.41 tff(121,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.20/0.41 tff(122,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.20/0.41 tff(123,plain,(
% 0.20/0.41 ![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~(rinvP(ispy, X0) & rinvP(ispy, X1) & rinvP(ispy, X2))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[122])).
% 0.20/0.41 tff(124,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[123, 116])).
% 0.20/0.41 tff(125,plain,
% 0.20/0.41 (![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[124, 114])).
% 0.20/0.41 tff(126,plain,
% 0.20/0.41 (((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | ((tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(127,plain,
% 0.20/0.41 (((tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168)))) <=> ((tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(128,plain,
% 0.20/0.41 (((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | ((tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | ((tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[127])).
% 0.20/0.41 tff(129,plain,
% 0.20/0.41 (((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | ((tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[128, 126])).
% 0.20/0.41 tff(130,plain,
% 0.20/0.41 ((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | ((tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(131,plain,
% 0.20/0.41 ((~![X0: $i, X1: $i, X2: $i] : ((X1 = X2) | (X0 = X1) | (X0 = X2) | (~rinvP(ispy, X1)) | (~rinvP(ispy, X2)) | (~rinvP(ispy, X0)))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y2_0(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y2_0(i2003_11_14_17_19_53168))) | (tptp_fun_Y2_0(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168)) | (~rinvP(ispy, tptp_fun_Y0_2(i2003_11_14_17_19_53168))) | (~rinvP(ispy, tptp_fun_Y1_1(i2003_11_14_17_19_53168))) | (tptp_fun_Y1_1(i2003_11_14_17_19_53168) = tptp_fun_Y0_2(i2003_11_14_17_19_53168))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.41 tff(132,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[131, 125, 112, 110, 93, 87, 70, 26])).
% 0.20/0.41 % SZS output end Proof
% 0.20/0.42 % E exiting
%------------------------------------------------------------------------------