%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS080+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:13:20 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS080+1 : TPTP v9.0.0. Released v3.1.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.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 19:12:16 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.19/0.41 % SZS status Unsatisfiable
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 tff(cp4_type, type, (
% 0.19/0.41 cp4: $i > $o)).
% 0.19/0.41 tff(tptp_fun_Y_2_type, type, (
% 0.19/0.41 tptp_fun_Y_2: $i > $i)).
% 0.19/0.41 tff(i2003_11_14_17_19_21224_type, type, (
% 0.19/0.41 i2003_11_14_17_19_21224: $i)).
% 0.19/0.41 tff(tptp_fun_Y_6_type, type, (
% 0.19/0.41 tptp_fun_Y_6: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y_0_type, type, (
% 0.19/0.41 tptp_fun_Y_0: $i > $i)).
% 0.19/0.41 tff(cp2_type, type, (
% 0.19/0.41 cp2: $i > $o)).
% 0.19/0.41 tff(cp5_type, type, (
% 0.19/0.41 cp5: $i > $o)).
% 0.19/0.41 tff(cp3_type, type, (
% 0.19/0.41 cp3: $i > $o)).
% 0.19/0.41 tff(cp1_type, type, (
% 0.19/0.41 cp1: $i > $o)).
% 0.19/0.41 tff(rr_type, type, (
% 0.19/0.41 rr: ( $i * $i ) > $o)).
% 0.19/0.41 tff(cp_type, type, (
% 0.19/0.41 cp: $i > $o)).
% 0.19/0.41 tff(tptp_fun_Y_1_type, type, (
% 0.19/0.41 tptp_fun_Y_1: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y_3_type, type, (
% 0.19/0.41 tptp_fun_Y_3: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y_4_type, type, (
% 0.19/0.41 tptp_fun_Y_4: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y_5_type, type, (
% 0.19/0.41 tptp_fun_Y_5: $i > $i)).
% 0.19/0.41 tff(cUnsatisfiable_type, type, (
% 0.19/0.41 cUnsatisfiable: $i > $o)).
% 0.19/0.41 tff(tptp_fun_Y0_10_type, type, (
% 0.19/0.41 tptp_fun_Y0_10: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y1_9_type, type, (
% 0.19/0.41 tptp_fun_Y1_9: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y2_8_type, type, (
% 0.19/0.41 tptp_fun_Y2_8: $i > $i)).
% 0.19/0.41 tff(tptp_fun_Y3_7_type, type, (
% 0.19/0.41 tptp_fun_Y3_7: $i > $i)).
% 0.19/0.41 tff(1,assumption,(tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)), introduced(assumption)).
% 0.19/0.41 tff(2,plain,
% 0.19/0.41 (cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224)) <=> cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[1])).
% 0.19/0.41 tff(3,plain,
% 0.19/0.41 (cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) <=> cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.41 inference(symmetry,[status(thm)],[2])).
% 0.19/0.41 tff(4,plain,
% 0.19/0.41 ((~cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224))) <=> (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.41 inference(monotonicity,[status(thm)],[3])).
% 0.19/0.41 tff(5,plain,
% 0.19/0.41 (^[X: $i] : rewrite((~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(6,plain,
% 0.19/0.41 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[5])).
% 0.19/0.41 tff(7,plain,
% 0.19/0.41 (^[X: $i] : refl((~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(8,plain,
% 0.19/0.41 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[7])).
% 0.19/0.42 tff(9,plain,
% 0.19/0.42 (^[X: $i] : rewrite((~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(10,plain,
% 0.19/0.42 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[9])).
% 0.19/0.42 tff(11,plain,
% 0.19/0.42 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[10, 8])).
% 0.19/0.42 tff(12,plain,
% 0.19/0.42 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) <=> ((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))))))), trans(monotonicity(quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp2(Y) & cp(Y)) <=> (~((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp2(Y) & cp(Y))) <=> (~(~((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))))) <=> ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp2(Y) & cp(Y))) <=> ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) <=> ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp(Y) & cp1(Y)) <=> (~((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp(Y) & cp1(Y))) <=> (~(~((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) <=> ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp(Y) & cp1(Y))) <=> ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) <=> ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))), 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) & cp4(Y)) <=> (~((~cp4(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp4(Y))) <=> (~(~((~cp4(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp4(Y)) | (~rr(X, Y))))) <=> ((~cp4(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp4(Y))) <=> ((~cp4(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp4(Y))) <=> ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))))), rewrite((~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) <=> (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X))))), 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))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp(Y) & cp3(Y)) <=> (~((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp(Y) & cp3(Y))) <=> (~(~((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))))) <=> ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp(Y) & cp3(Y))) <=> ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) <=> ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))))), ((cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y)))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y)))))), rewrite((cUnsatisfiable(X) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y)))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))), ((cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y)))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y)))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))))) <=> (((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))) & (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))))), rewrite((((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))) & (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) <=> (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))))) <=> (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(13,plain,
% 0.19/0.43 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & (rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X))) & (rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X))) & (rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y)))))) <=> (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(15,plain,
% 0.19/0.43 (![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & (rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X))) & (rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X))) & (rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y)))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[14])).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(17,plain,
% 0.19/0.43 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> (((((((?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) => ((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y2 = Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y)))) <=> (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (![X: $i] : (cUnsatisfiable(X) <=> (((((((?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) => ((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y2 = Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[17])).
% 0.19/0.43 tff(19,axiom,(![X: $i] : (cUnsatisfiable(X) <=> (((((((?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) => ((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y2 = Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y))) & ?[Y: $i] : (rr(X, Y) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.19/0.43 tff(20,plain,
% 0.19/0.43 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.43 tff(21,plain,
% 0.19/0.43 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp(Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)) & ?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.19/0.43 tff(22,plain,(
% 0.19/0.43 ![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X))) & (rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & (rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X))) & (rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X))) & (rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[21])).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp(tptp_fun_Y_0(X)) & cp1(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp1(tptp_fun_Y_1(X)) & rr(X, tptp_fun_Y_2(X)) & cp4(tptp_fun_Y_2(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3)))) & rr(X, tptp_fun_Y_3(X)) & cp2(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp3(tptp_fun_Y_4(X)) & rr(X, tptp_fun_Y_5(X)) & cp(tptp_fun_Y_5(X)) & cp3(tptp_fun_Y_5(X)) & rr(X, tptp_fun_Y_6(X)) & cp2(tptp_fun_Y_6(X)) & cp(tptp_fun_Y_6(X)))) & (cUnsatisfiable(X) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | (~((tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)) | (~(rr(X, tptp_fun_Y0_10(X)) & rr(X, tptp_fun_Y1_9(X)) & rr(X, tptp_fun_Y2_8(X)) & rr(X, tptp_fun_Y3_7(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.19/0.43 tff(24,plain,
% 0.19/0.43 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[23, 13])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 (![X: $i] : (~((~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X)))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[24, 11])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 (![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[25, 6])).
% 0.19/0.44 tff(27,plain,
% 0.19/0.44 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(28,plain,
% 0.19/0.44 ((~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))))))))) <=> (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(29,plain,
% 0.19/0.44 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))))))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[28])).
% 0.19/0.45 tff(30,plain,
% 0.19/0.45 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))))))),
% 0.19/0.45 inference(transitivity,[status(thm)],[29, 27])).
% 0.19/0.45 tff(31,plain,
% 0.19/0.45 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3))))))))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(32,plain,
% 0.19/0.45 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y0_10(X))) | (~rr(X, tptp_fun_Y1_9(X))) | (~rr(X, tptp_fun_Y2_8(X))) | (~rr(X, tptp_fun_Y3_7(X))) | (tptp_fun_Y2_8(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y1_9(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y3_7(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y2_8(X)) | (tptp_fun_Y0_10(X) = tptp_fun_Y1_9(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~rr(X, tptp_fun_Y_0(X))) | (~cp(tptp_fun_Y_0(X))) | (~cp1(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp1(tptp_fun_Y_1(X))) | (~rr(X, tptp_fun_Y_2(X))) | (~cp4(tptp_fun_Y_2(X))) | (~rr(X, tptp_fun_Y_3(X))) | (~cp2(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~cp3(tptp_fun_Y_4(X))) | (~rr(X, tptp_fun_Y_5(X))) | (~cp(tptp_fun_Y_5(X))) | (~cp3(tptp_fun_Y_5(X))) | (~rr(X, tptp_fun_Y_6(X))) | (~cp2(tptp_fun_Y_6(X))) | (~cp(tptp_fun_Y_6(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.46 tff(33,plain,
% 0.19/0.46 (~((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[32, 26])).
% 0.19/0.46 tff(34,plain,
% 0.19/0.46 (((~(cUnsatisfiable(i2003_11_14_17_19_21224) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_21224, Y))) | (~((tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y1_9(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y0_10(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (tptp_fun_Y1_9(i2003_11_14_17_19_21224) = tptp_fun_Y2_8(i2003_11_14_17_19_21224)) | (tptp_fun_Y2_8(i2003_11_14_17_19_21224) = tptp_fun_Y3_7(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y3_7(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y2_8(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y1_9(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y0_10(i2003_11_14_17_19_21224))))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))))) | ((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(35,plain,
% 0.19/0.46 ((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.19/0.46 tff(36,plain,
% 0.19/0.46 (cUnsatisfiable(i2003_11_14_17_19_21224) <=> cUnsatisfiable(i2003_11_14_17_19_21224)),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(37,axiom,(cUnsatisfiable(i2003_11_14_17_19_21224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.19/0.46 tff(38,plain,
% 0.19/0.46 (cUnsatisfiable(i2003_11_14_17_19_21224)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.19/0.46 tff(39,plain,
% 0.19/0.46 ((~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))) | (~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(40,plain,
% 0.19/0.46 ((~((~cUnsatisfiable(i2003_11_14_17_19_21224)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))))) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.19/0.46 tff(41,plain,
% 0.19/0.46 (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[40, 35])).
% 0.19/0.46 tff(42,plain,
% 0.19/0.46 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(43,plain,
% 0.19/0.46 (cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.19/0.46 tff(44,plain,
% 0.19/0.46 (^[X: $i] : refl(((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(45,plain,
% 0.19/0.46 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.46 tff(46,plain,
% 0.19/0.46 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(47,plain,
% 0.19/0.46 (^[X: $i] : trans(monotonicity(rewrite((~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X))) <=> (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))), ((cp1(X) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(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) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(48,plain,
% 0.19/0.46 (![X: $i] : (cp1(X) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[47])).
% 0.19/0.46 tff(49,axiom,(![X: $i] : (cp1(X) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.19/0.46 tff(50,plain,
% 0.19/0.46 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.46 tff(51,plain,
% 0.19/0.46 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.19/0.46 tff(52,plain,(
% 0.19/0.46 ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(skolemize,[status(sab)],[51])).
% 0.19/0.46 tff(53,plain,
% 0.19/0.46 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.19/0.46 tff(54,plain,
% 0.19/0.46 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(55,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(56,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~(cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.19/0.47 tff(57,plain,
% 0.19/0.47 (~(cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[56, 53, 43])).
% 0.19/0.47 tff(58,plain,
% 0.19/0.47 ((cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(59,plain,
% 0.19/0.47 (~cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.19/0.47 tff(60,plain,
% 0.19/0.47 (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[59, 4])).
% 0.19/0.47 tff(61,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(62,plain,
% 0.19/0.47 (cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[61, 41])).
% 0.19/0.47 tff(63,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[62, 60])).
% 0.19/0.47 tff(64,plain,(~(tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(65,assumption,(tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)), introduced(assumption)).
% 0.19/0.47 tff(66,plain,
% 0.19/0.47 (cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224)) <=> cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[65])).
% 0.19/0.47 tff(67,plain,
% 0.19/0.47 (cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) <=> cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(symmetry,[status(thm)],[66])).
% 0.19/0.47 tff(68,plain,
% 0.19/0.47 ((~cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224))) <=> (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[67])).
% 0.19/0.47 tff(69,plain,
% 0.19/0.47 (^[X: $i] : refl(((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(70,plain,
% 0.19/0.47 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[69])).
% 0.19/0.47 tff(71,plain,
% 0.19/0.47 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(72,plain,
% 0.19/0.47 (^[X: $i] : trans(monotonicity(rewrite((~((cp4(X) | cp5(X)) | cp3(X))) <=> (~(cp3(X) | cp4(X) | cp5(X)))), ((cp2(X) => (~((cp4(X) | cp5(X)) | cp3(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) | cp5(X)) | cp3(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(73,plain,
% 0.19/0.47 (![X: $i] : (cp2(X) => (~((cp4(X) | cp5(X)) | cp3(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[72])).
% 0.19/0.47 tff(74,axiom,(![X: $i] : (cp2(X) => (~((cp4(X) | cp5(X)) | cp3(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.19/0.47 tff(75,plain,
% 0.19/0.47 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.47 tff(76,plain,
% 0.19/0.47 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.19/0.47 tff(77,plain,(
% 0.19/0.47 ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[76])).
% 0.19/0.47 tff(78,plain,
% 0.19/0.47 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.19/0.47 tff(79,plain,
% 0.19/0.47 (((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~(cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224)))))) <=> ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~(cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(80,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~(cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(81,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~(cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.47 tff(82,plain,
% 0.19/0.47 (~(cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[81, 78, 62])).
% 0.19/0.47 tff(83,plain,
% 0.19/0.47 ((cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(84,plain,
% 0.19/0.47 (~cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.19/0.47 tff(85,plain,
% 0.19/0.47 (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[84, 68])).
% 0.19/0.47 tff(86,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(87,plain,
% 0.19/0.47 (cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[86, 41])).
% 0.19/0.47 tff(88,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[87, 85])).
% 0.19/0.47 tff(89,plain,(~(tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(90,assumption,(tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)), introduced(assumption)).
% 0.19/0.47 tff(91,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[90])).
% 0.19/0.47 tff(92,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(symmetry,[status(thm)],[91])).
% 0.19/0.47 tff(93,plain,
% 0.19/0.47 ((~cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224))) <=> (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[92])).
% 0.19/0.47 tff(94,plain,
% 0.19/0.47 (^[X: $i] : refl(((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ((~cp3(X)) | (~(cp4(X) | cp5(X)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(95,plain,
% 0.19/0.47 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[94])).
% 0.19/0.47 tff(96,plain,
% 0.19/0.47 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(97,plain,
% 0.19/0.47 (^[X: $i] : rewrite((cp3(X) => (~(cp4(X) | cp5(X)))) <=> ((~cp3(X)) | (~(cp4(X) | cp5(X)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(98,plain,
% 0.19/0.47 (![X: $i] : (cp3(X) => (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[97])).
% 0.19/0.47 tff(99,axiom,(![X: $i] : (cp3(X) => (~(cp4(X) | cp5(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.19/0.47 tff(100,plain,
% 0.19/0.47 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.19/0.47 tff(101,plain,
% 0.19/0.47 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[100, 96])).
% 0.19/0.47 tff(102,plain,(
% 0.19/0.47 ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[101])).
% 0.19/0.47 tff(103,plain,
% 0.19/0.47 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.19/0.47 tff(104,plain,
% 0.19/0.47 (((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~(cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224)))))) <=> ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~(cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(105,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~(cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224)))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(106,plain,
% 0.19/0.47 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~(cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.19/0.47 tff(107,plain,
% 0.19/0.47 (~(cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[106, 103, 87])).
% 0.19/0.47 tff(108,plain,
% 0.19/0.47 ((cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(109,plain,
% 0.19/0.47 (~cp4(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.19/0.47 tff(110,plain,
% 0.19/0.47 (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[109, 93])).
% 0.19/0.47 tff(111,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(112,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[111, 41])).
% 0.19/0.47 tff(113,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[112, 110])).
% 0.19/0.47 tff(114,plain,(~(tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(115,assumption,(tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)), introduced(assumption)).
% 0.19/0.47 tff(116,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[115])).
% 0.19/0.47 tff(117,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(symmetry,[status(thm)],[116])).
% 0.19/0.47 tff(118,plain,
% 0.19/0.47 ((~cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224))) <=> (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[117])).
% 0.19/0.47 tff(119,plain,
% 0.19/0.47 ((cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(120,plain,
% 0.19/0.47 (~cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[119, 57])).
% 0.19/0.47 tff(121,plain,
% 0.19/0.47 (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[120, 118])).
% 0.19/0.47 tff(122,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[112, 121])).
% 0.19/0.47 tff(123,plain,(~(tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(124,assumption,(tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)), introduced(assumption)).
% 0.19/0.47 tff(125,plain,
% 0.19/0.47 (cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224)) <=> cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[124])).
% 0.19/0.47 tff(126,plain,
% 0.19/0.47 (cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) <=> cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(symmetry,[status(thm)],[125])).
% 0.19/0.47 tff(127,plain,
% 0.19/0.47 ((~cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224))) <=> (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[126])).
% 0.19/0.47 tff(128,plain,
% 0.19/0.47 ((cp2(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_0(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(129,plain,
% 0.19/0.47 (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[128, 57])).
% 0.19/0.47 tff(130,plain,
% 0.19/0.47 (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[129, 127])).
% 0.19/0.47 tff(131,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[87, 130])).
% 0.19/0.47 tff(132,plain,(~(tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(133,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(134,plain,
% 0.19/0.47 (rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[133, 41])).
% 0.19/0.47 tff(135,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(136,plain,
% 0.19/0.47 (rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[135, 41])).
% 0.19/0.47 tff(137,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(138,plain,
% 0.19/0.47 (rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[137, 41])).
% 0.19/0.47 tff(139,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(140,plain,
% 0.19/0.47 (rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[139, 41])).
% 0.19/0.47 tff(141,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~cp(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_5(i2003_11_14_17_19_21224))) | (~cp3(tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_3(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_1(i2003_11_14_17_19_21224))) | (~cp1(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~cp(tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) | ![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(142,plain,
% 0.19/0.47 (![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[141, 41])).
% 0.19/0.47 tff(143,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | ((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(144,plain,
% 0.19/0.47 (((tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224)))) <=> ((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(145,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | ((tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | ((~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[144])).
% 0.19/0.47 tff(146,plain,
% 0.19/0.47 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | ((tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[145, 143])).
% 0.19/0.47 tff(147,plain,
% 0.19/0.47 ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | ((tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(148,plain,
% 0.19/0.47 ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i] : ((Y2 = Y3) | (Y1 = Y2) | (Y1 = Y3) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_21224, Y0)) | (~rr(i2003_11_14_17_19_21224, Y1)) | (~rr(i2003_11_14_17_19_21224, Y2)) | (~rr(i2003_11_14_17_19_21224, Y3)))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_4(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_2(i2003_11_14_17_19_21224))) | (~rr(i2003_11_14_17_19_21224, tptp_fun_Y_0(i2003_11_14_17_19_21224))) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.47 tff(149,plain,
% 0.19/0.47 ((tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_6(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_4(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_0(i2003_11_14_17_19_21224)) | (tptp_fun_Y_4(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)) | (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[148, 142, 140, 138, 136, 134])).
% 0.19/0.47 tff(150,plain,
% 0.19/0.47 (tptp_fun_Y_2(i2003_11_14_17_19_21224) = tptp_fun_Y_6(i2003_11_14_17_19_21224)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[149, 132, 123, 114, 89, 64])).
% 0.19/0.47 tff(151,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[150])).
% 0.19/0.47 tff(152,plain,
% 0.19/0.47 (cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) <=> cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.47 inference(symmetry,[status(thm)],[151])).
% 0.19/0.47 tff(153,plain,
% 0.19/0.47 ((~cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224))) <=> (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[152])).
% 0.19/0.48 tff(154,plain,
% 0.19/0.48 ((cp3(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)) | cp5(tptp_fun_Y_6(i2003_11_14_17_19_21224))) | (~cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(155,plain,
% 0.19/0.48 (~cp4(tptp_fun_Y_6(i2003_11_14_17_19_21224))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[154, 82])).
% 0.19/0.48 tff(156,plain,
% 0.19/0.48 (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_21224))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[155, 153])).
% 0.19/0.48 tff(157,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[112, 156])).
% 0.19/0.48 % SZS output end Proof
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------