%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS071+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 05:13:18 AM UTC 2025
% Result : Unsatisfiable 0.11s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS071+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 19:10:57 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.38 % SZS status Unsatisfiable
% 0.11/0.38 % SZS output start Proof
% 0.11/0.38 tff(cp1_type, type, (
% 0.11/0.38 cp1: $i > $o)).
% 0.11/0.38 tff(tptp_fun_Y_0_type, type, (
% 0.11/0.38 tptp_fun_Y_0: $i > $i)).
% 0.11/0.38 tff(i2003_11_14_17_18_39380_type, type, (
% 0.11/0.38 i2003_11_14_17_18_39380: $i)).
% 0.11/0.38 tff(tptp_fun_Y_2_type, type, (
% 0.11/0.38 tptp_fun_Y_2: $i > $i)).
% 0.11/0.38 tff(tptp_fun_Y_1_type, type, (
% 0.11/0.38 tptp_fun_Y_1: $i > $i)).
% 0.11/0.38 tff(cp2_type, type, (
% 0.11/0.38 cp2: $i > $o)).
% 0.11/0.38 tff(cp5_type, type, (
% 0.11/0.38 cp5: $i > $o)).
% 0.11/0.38 tff(cp4_type, type, (
% 0.11/0.38 cp4: $i > $o)).
% 0.11/0.38 tff(cp3_type, type, (
% 0.11/0.38 cp3: $i > $o)).
% 0.11/0.38 tff(rr_type, type, (
% 0.11/0.38 rr: ( $i * $i ) > $o)).
% 0.11/0.38 tff(cUnsatisfiable_type, type, (
% 0.11/0.38 cUnsatisfiable: $i > $o)).
% 0.11/0.38 tff(tptp_fun_Y2_3_type, type, (
% 0.11/0.38 tptp_fun_Y2_3: $i > $i)).
% 0.11/0.38 tff(tptp_fun_Y1_4_type, type, (
% 0.11/0.38 tptp_fun_Y1_4: $i > $i)).
% 0.11/0.38 tff(tptp_fun_Y0_5_type, type, (
% 0.11/0.38 tptp_fun_Y0_5: $i > $i)).
% 0.11/0.38 tff(1,plain,
% 0.11/0.38 ((tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)) <=> (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.11/0.38 inference(commutativity,[status(thm)],[])).
% 0.11/0.38 tff(2,plain,
% 0.11/0.38 ((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_0(i2003_11_14_17_18_39380)) <=> (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.11/0.38 inference(symmetry,[status(thm)],[1])).
% 0.11/0.38 tff(3,plain,
% 0.11/0.38 ((~(tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_0(i2003_11_14_17_18_39380))) <=> (~(tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[2])).
% 0.11/0.38 tff(4,assumption,(tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_0(i2003_11_14_17_18_39380)), introduced(assumption)).
% 0.11/0.38 tff(5,plain,
% 0.11/0.38 (cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380)) <=> cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[4])).
% 0.11/0.38 tff(6,plain,
% 0.11/0.38 (cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) <=> cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.11/0.38 inference(symmetry,[status(thm)],[5])).
% 0.11/0.38 tff(7,plain,
% 0.11/0.38 ((~cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380))) <=> (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[6])).
% 0.11/0.38 tff(8,plain,
% 0.11/0.38 (^[X: $i] : refl((~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(9,plain,
% 0.11/0.38 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[8])).
% 0.11/0.38 tff(10,plain,
% 0.11/0.38 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(11,plain,
% 0.11/0.38 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.11/0.38 tff(12,plain,
% 0.11/0.38 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.11/0.38 inference(transitivity,[status(thm)],[11, 9])).
% 0.11/0.38 tff(13,plain,
% 0.11/0.38 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) <=> ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))), trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp1(Y)) <=> (~((~cp1(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp1(Y))) <=> (~(~((~cp1(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp1(Y)) | (~rr(X, Y))))) <=> ((~cp1(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp1(Y))) <=> ((~cp1(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp1(Y))) <=> ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp2(Y)) <=> (~((~cp2(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp2(Y))) <=> (~(~((~cp2(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp2(Y)) | (~rr(X, Y))))) <=> ((~cp2(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp2(Y))) <=> ((~cp2(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp2(Y))) <=> ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp3(Y)) <=> (~((~cp3(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp3(Y))) <=> (~(~((~cp3(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp3(Y)) | (~rr(X, Y))))) <=> ((~cp3(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp3(Y))) <=> ((~cp3(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp3(Y))) <=> ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))))), rewrite((~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))) <=> (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X))))), ((cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X))))))), rewrite((cUnsatisfiable(X) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X))))) <=> (cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))), ((cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))) <=> (cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))))) <=> (((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2))))))) & (cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))))), rewrite((((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2))))))) & (cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))))) <=> (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[15])).
% 0.20/0.39 tff(17,plain,
% 0.20/0.39 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(18,plain,
% 0.20/0.39 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> (((?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ![Y0: $i, Y1: $i, Y2: $i] : (((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) => (((Y0 = Y1) | (Y0 = Y2)) | (Y1 = Y2))))) <=> (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(19,plain,
% 0.20/0.39 (![X: $i] : (cUnsatisfiable(X) <=> (((?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ![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) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2))))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[18])).
% 0.20/0.39 tff(20,axiom,(![X: $i] : (cUnsatisfiable(X) <=> (((?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ![Y0: $i, Y1: $i, Y2: $i] : (((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) => (((Y0 = Y1) | (Y0 = Y2)) | (Y1 = Y2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.20/0.39 tff(21,plain,
% 0.20/0.39 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.39 tff(22,plain,
% 0.20/0.39 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.20/0.39 tff(23,plain,(
% 0.20/0.39 ![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X)))))))))),
% 0.20/0.39 inference(skolemize,[status(sab)],[22])).
% 0.20/0.39 tff(24,plain,
% 0.20/0.39 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp2(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp3(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2)))))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | (~((tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)) | (~(rr(X, tptp_fun_Y0_5(X)) & rr(X, tptp_fun_Y1_4(X)) & rr(X, tptp_fun_Y2_3(X))))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.20/0.39 tff(25,plain,
% 0.20/0.39 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.20/0.39 tff(26,plain,
% 0.20/0.39 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[25, 12])).
% 0.20/0.39 tff(27,plain,
% 0.20/0.39 (((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380)))))))))) <=> ((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))))))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(28,plain,
% 0.20/0.39 ((~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)) | (~rr(i2003_11_14_17_18_39380, Y2)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))))))) <=> (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380)))))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(29,plain,
% 0.20/0.39 (((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)) | (~rr(i2003_11_14_17_18_39380, Y2)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y)))))))) <=> ((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))))))))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[28])).
% 0.20/0.39 tff(30,plain,
% 0.20/0.39 (((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)) | (~rr(i2003_11_14_17_18_39380, Y2)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y)))))))) <=> ((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))))))))))),
% 0.20/0.40 inference(transitivity,[status(thm)],[29, 27])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 ((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)) | (~rr(i2003_11_14_17_18_39380, Y2)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | (~((~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y)))))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(32,plain,
% 0.20/0.40 ((~![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp2(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp3(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)))))))) | (~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y2_3(X))) | (~rr(X, tptp_fun_Y1_4(X))) | (~rr(X, tptp_fun_Y0_5(X))) | (tptp_fun_Y1_4(X) = tptp_fun_Y2_3(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y1_4(X)) | (tptp_fun_Y0_5(X) = tptp_fun_Y2_3(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)))))))) | (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380)))))))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 (~((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380))))))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[32, 26])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 (((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~(cUnsatisfiable(i2003_11_14_17_18_39380) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_18_39380, Y))) | (~((tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (tptp_fun_Y0_5(i2003_11_14_17_18_39380) = tptp_fun_Y1_4(i2003_11_14_17_18_39380)) | (tptp_fun_Y1_4(i2003_11_14_17_18_39380) = tptp_fun_Y2_3(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y0_5(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y1_4(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y2_3(i2003_11_14_17_18_39380)))))))) | ((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 ((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 (cUnsatisfiable(i2003_11_14_17_18_39380) <=> cUnsatisfiable(i2003_11_14_17_18_39380)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(37,axiom,(cUnsatisfiable(i2003_11_14_17_18_39380)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_8')).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 (cUnsatisfiable(i2003_11_14_17_18_39380)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 ((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 ((~((~cUnsatisfiable(i2003_11_14_17_18_39380)) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))))) | (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 (~((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[40, 35])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(43,plain,
% 0.20/0.40 (cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.20/0.40 tff(44,plain,
% 0.20/0.40 (^[X: $i] : refl(((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(45,plain,
% 0.20/0.40 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[44])).
% 0.20/0.40 tff(46,plain,
% 0.20/0.40 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(47,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite((~(((cp4(X) | cp2(X)) | cp3(X)) | cp5(X))) <=> (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))), ((cp1(X) => (~(((cp4(X) | cp2(X)) | cp3(X)) | cp5(X)))) <=> (cp1(X) => (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))))), rewrite((cp1(X) => (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))), ((cp1(X) => (~(((cp4(X) | cp2(X)) | cp3(X)) | cp5(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(48,plain,
% 0.20/0.40 (![X: $i] : (cp1(X) => (~(((cp4(X) | cp2(X)) | cp3(X)) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[47])).
% 0.20/0.40 tff(49,axiom,(![X: $i] : (cp1(X) => (~(((cp4(X) | cp2(X)) | cp3(X)) | cp5(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.20/0.40 tff(50,plain,
% 0.20/0.40 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.20/0.40 tff(51,plain,
% 0.20/0.40 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.20/0.40 tff(52,plain,(
% 0.20/0.40 ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(skolemize,[status(sab)],[51])).
% 0.20/0.40 tff(53,plain,
% 0.20/0.40 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.20/0.40 tff(54,plain,
% 0.20/0.40 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380)))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(55,plain,
% 0.20/0.40 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380)))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(56,plain,
% 0.20/0.40 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.20/0.40 tff(57,plain,
% 0.20/0.40 (~(cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380)))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[56, 53, 43])).
% 0.20/0.40 tff(58,plain,
% 0.20/0.40 ((cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_0(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380)))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(59,plain,
% 0.20/0.40 (~cp2(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.20/0.40 tff(60,plain,
% 0.20/0.40 (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[59, 7])).
% 0.20/0.40 tff(61,plain,
% 0.20/0.40 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(62,plain,
% 0.20/0.40 (cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[61, 41])).
% 0.20/0.40 tff(63,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[62, 60])).
% 0.20/0.40 tff(64,plain,(~(tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_0(i2003_11_14_17_18_39380))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(65,plain,
% 0.20/0.40 (~(tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[64, 3])).
% 0.20/0.40 tff(66,assumption,(tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)), introduced(assumption)).
% 0.20/0.40 tff(67,plain,
% 0.20/0.40 (cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380)) <=> cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.40 tff(68,plain,
% 0.20/0.40 (cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) <=> cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(symmetry,[status(thm)],[67])).
% 0.20/0.40 tff(69,plain,
% 0.20/0.40 ((~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))) <=> (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[68])).
% 0.20/0.40 tff(70,plain,
% 0.20/0.40 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(71,plain,
% 0.20/0.40 (cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[70, 41])).
% 0.20/0.40 tff(72,plain,
% 0.20/0.40 ((cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(73,plain,
% 0.20/0.40 (cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.20/0.41 tff(74,plain,
% 0.20/0.41 (^[X: $i] : refl(((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(75,plain,
% 0.20/0.41 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[74])).
% 0.20/0.41 tff(76,plain,
% 0.20/0.41 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(77,plain,
% 0.20/0.41 (^[X: $i] : trans(monotonicity(rewrite((~((cp4(X) | cp3(X)) | cp5(X))) <=> (~(cp3(X) | cp4(X) | cp5(X)))), ((cp2(X) => (~((cp4(X) | cp3(X)) | cp5(X)))) <=> (cp2(X) => (~(cp3(X) | cp4(X) | cp5(X)))))), rewrite((cp2(X) => (~(cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))), ((cp2(X) => (~((cp4(X) | cp3(X)) | cp5(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(78,plain,
% 0.20/0.41 (![X: $i] : (cp2(X) => (~((cp4(X) | cp3(X)) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[77])).
% 0.20/0.41 tff(79,axiom,(![X: $i] : (cp2(X) => (~((cp4(X) | cp3(X)) | cp5(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.20/0.41 tff(80,plain,
% 0.20/0.41 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.41 tff(81,plain,
% 0.20/0.41 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[80, 76])).
% 0.20/0.41 tff(82,plain,(
% 0.20/0.41 ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(skolemize,[status(sab)],[81])).
% 0.20/0.41 tff(83,plain,
% 0.20/0.41 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[82, 75])).
% 0.20/0.41 tff(84,plain,
% 0.20/0.41 (((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))) <=> ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(85,plain,
% 0.20/0.41 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(86,plain,
% 0.20/0.41 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.41 tff(87,plain,
% 0.20/0.41 (~cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[86, 83, 73])).
% 0.20/0.41 tff(88,plain,
% 0.20/0.41 (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[87, 69])).
% 0.20/0.41 tff(89,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[62, 88])).
% 0.20/0.41 tff(90,plain,(~(tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.41 tff(91,plain,
% 0.20/0.41 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | ![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(92,plain,
% 0.20/0.41 (![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[91, 41])).
% 0.20/0.41 tff(93,plain,
% 0.20/0.41 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(94,plain,
% 0.20/0.41 (rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[93, 41])).
% 0.20/0.41 tff(95,plain,
% 0.20/0.41 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(96,plain,
% 0.20/0.41 (rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[95, 41])).
% 0.20/0.41 tff(97,plain,
% 0.20/0.41 (((~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp2(tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1))))) | rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(98,plain,
% 0.20/0.41 (rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[97, 41])).
% 0.20/0.41 tff(99,plain,
% 0.20/0.41 (((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | ((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)))) <=> ((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(100,plain,
% 0.20/0.41 (((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380)))) <=> ((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(101,plain,
% 0.20/0.41 (((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | ((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | ((~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[100])).
% 0.20/0.41 tff(102,plain,
% 0.20/0.41 (((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | ((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)))),
% 0.20/0.41 inference(transitivity,[status(thm)],[101, 99])).
% 0.20/0.41 tff(103,plain,
% 0.20/0.41 ((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | ((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(104,plain,
% 0.20/0.41 ((~![Y0: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (Y0 = Y1) | (Y0 = Y2) | (~rr(i2003_11_14_17_18_39380, Y2)) | (~rr(i2003_11_14_17_18_39380, Y0)) | (~rr(i2003_11_14_17_18_39380, Y1)))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_1(i2003_11_14_17_18_39380))) | (~rr(i2003_11_14_17_18_39380, tptp_fun_Y_0(i2003_11_14_17_18_39380))) | (tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.41 tff(105,plain,
% 0.20/0.41 ((tptp_fun_Y_1(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)) | (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_1(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[104, 98, 96, 94, 92])).
% 0.20/0.41 tff(106,plain,
% 0.20/0.41 (tptp_fun_Y_0(i2003_11_14_17_18_39380) = tptp_fun_Y_2(i2003_11_14_17_18_39380)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[105, 90, 65])).
% 0.20/0.41 tff(107,plain,
% 0.20/0.41 (cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380)) <=> cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[106])).
% 0.20/0.41 tff(108,plain,
% 0.20/0.41 (cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380)) <=> cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(symmetry,[status(thm)],[107])).
% 0.20/0.41 tff(109,plain,
% 0.20/0.41 ((~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))) <=> (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[108])).
% 0.20/0.41 tff(110,plain,
% 0.20/0.41 ((cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)))),
% 0.20/0.41 inference(tautology,[status(thm)],[])).
% 0.20/0.41 tff(111,plain,
% 0.20/0.41 (cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[110, 71])).
% 0.20/0.41 tff(112,plain,
% 0.20/0.41 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(113,plain,
% 0.20/0.41 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380)))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(114,plain,
% 0.20/0.41 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))) | (~(cp2(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp3(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp4(tptp_fun_Y_2(i2003_11_14_17_18_39380)) | cp5(tptp_fun_Y_2(i2003_11_14_17_18_39380))))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.20/0.41 tff(115,plain,
% 0.20/0.41 (~cp1(tptp_fun_Y_2(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[114, 53, 111])).
% 0.20/0.41 tff(116,plain,
% 0.20/0.41 (~cp1(tptp_fun_Y_0(i2003_11_14_17_18_39380))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[115, 109])).
% 0.20/0.41 tff(117,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[43, 116])).
% 0.20/0.41 % SZS output end Proof
% 0.20/0.42 % E exiting
%------------------------------------------------------------------------------