%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KRS081+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n005.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 0.60s 0.81s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS081+1 : TPTP v9.0.0. Released v3.1.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 19:10:35 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.60/0.81 % SZS status Unsatisfiable
% 0.60/0.81 % SZS output start Proof
% 0.60/0.81 tff(cp1_type, type, (
% 0.60/0.81 cp1: $i > $o)).
% 0.60/0.81 tff(tptp_fun_Y_7_type, type, (
% 0.60/0.81 tptp_fun_Y_7: $i > $i)).
% 0.60/0.81 tff(i2003_11_14_17_19_24236_type, type, (
% 0.60/0.81 i2003_11_14_17_19_24236: $i)).
% 0.60/0.81 tff(tptp_fun_Y_4_type, type, (
% 0.60/0.81 tptp_fun_Y_4: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y_5_type, type, (
% 0.60/0.81 tptp_fun_Y_5: $i > $i)).
% 0.60/0.81 tff(cp5_type, type, (
% 0.60/0.81 cp5: $i > $o)).
% 0.60/0.81 tff(cp4_type, type, (
% 0.60/0.81 cp4: $i > $o)).
% 0.60/0.81 tff(cp3_type, type, (
% 0.60/0.81 cp3: $i > $o)).
% 0.60/0.81 tff(rr_type, type, (
% 0.60/0.81 rr: ( $i * $i ) > $o)).
% 0.60/0.81 tff(cp_type, type, (
% 0.60/0.81 cp: $i > $o)).
% 0.60/0.81 tff(tptp_fun_Y_6_type, type, (
% 0.60/0.81 tptp_fun_Y_6: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y_8_type, type, (
% 0.60/0.81 tptp_fun_Y_8: $i > $i)).
% 0.60/0.81 tff(cp2_type, type, (
% 0.60/0.81 cp2: $i > $o)).
% 0.60/0.81 tff(tptp_fun_Y_0_type, type, (
% 0.60/0.81 tptp_fun_Y_0: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y_1_type, type, (
% 0.60/0.81 tptp_fun_Y_1: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y_2_type, type, (
% 0.60/0.81 tptp_fun_Y_2: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y_3_type, type, (
% 0.60/0.81 tptp_fun_Y_3: $i > $i)).
% 0.60/0.81 tff(cUnsatisfiable_type, type, (
% 0.60/0.81 cUnsatisfiable: $i > $o)).
% 0.60/0.81 tff(tptp_fun_Y3_10_type, type, (
% 0.60/0.81 tptp_fun_Y3_10: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y4_9_type, type, (
% 0.60/0.81 tptp_fun_Y4_9: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y0_13_type, type, (
% 0.60/0.81 tptp_fun_Y0_13: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y1_12_type, type, (
% 0.60/0.81 tptp_fun_Y1_12: $i > $i)).
% 0.60/0.81 tff(tptp_fun_Y2_11_type, type, (
% 0.60/0.81 tptp_fun_Y2_11: $i > $i)).
% 0.60/0.81 tff(1,plain,
% 0.60/0.81 ((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_4(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.60/0.81 inference(commutativity,[status(thm)],[])).
% 0.60/0.81 tff(2,plain,
% 0.60/0.81 ((tptp_fun_Y_4(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.60/0.81 inference(symmetry,[status(thm)],[1])).
% 0.60/0.81 tff(3,plain,
% 0.60/0.81 ((~(tptp_fun_Y_4(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))) <=> (~(tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[2])).
% 0.60/0.81 tff(4,assumption,(tptp_fun_Y_4(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.60/0.81 tff(5,plain,
% 0.60/0.81 (cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)) <=> cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[4])).
% 0.60/0.81 tff(6,plain,
% 0.60/0.81 (cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)) <=> cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.60/0.81 inference(symmetry,[status(thm)],[5])).
% 0.60/0.81 tff(7,plain,
% 0.60/0.81 ((~cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))) <=> (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.60/0.81 inference(monotonicity,[status(thm)],[6])).
% 0.60/0.81 tff(8,plain,
% 0.60/0.81 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))))))))))),
% 0.60/0.81 inference(bind,[status(th)],[])).
% 0.60/0.81 tff(9,plain,
% 0.60/0.81 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))),
% 0.60/0.81 inference(quant_intro,[status(thm)],[8])).
% 0.60/0.81 tff(10,plain,
% 0.60/0.81 (^[X: $i] : refl((~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))))),
% 0.60/0.81 inference(bind,[status(th)],[])).
% 0.60/0.81 tff(11,plain,
% 0.60/0.81 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.81 inference(quant_intro,[status(thm)],[10])).
% 0.60/0.81 tff(12,plain,
% 0.60/0.81 (^[X: $i] : rewrite((~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))))),
% 0.60/0.81 inference(bind,[status(th)],[])).
% 0.60/0.81 tff(13,plain,
% 0.60/0.81 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.81 inference(quant_intro,[status(thm)],[12])).
% 0.60/0.81 tff(14,plain,
% 0.60/0.81 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.81 inference(transitivity,[status(thm)],[13, 11])).
% 0.60/0.81 tff(15,plain,
% 0.60/0.81 (^[X: $i] : trans(monotonicity(rewrite(((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) <=> ((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))), trans(monotonicity(rewrite((~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) <=> (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp1(Y) & cp(Y)) <=> (~((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))))), ((~(rr(X, Y) & cp1(Y) & cp(Y))) <=> (~(~((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))))))), rewrite((~(~((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))))) <=> ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y)))), ((~(rr(X, Y) & cp1(Y) & cp(Y))) <=> ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y)))))), (![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) <=> ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp2(Y)) <=> (~((~cp2(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp2(Y))) <=> (~(~((~cp2(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp2(Y)) | (~rr(X, Y))))) <=> ((~cp2(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp2(Y))) <=> ((~cp2(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp2(Y))) <=> ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp3(Y)) <=> (~((~cp3(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp3(Y))) <=> (~(~((~cp3(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp3(Y)) | (~rr(X, Y))))) <=> ((~cp3(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp3(Y))) <=> ((~cp3(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp3(Y))) <=> ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp5(Y)) <=> (~((~cp5(Y)) | (~rr(X, Y))))), ((~(rr(X, Y) & cp5(Y))) <=> (~(~((~cp5(Y)) | (~rr(X, Y))))))), rewrite((~(~((~cp5(Y)) | (~rr(X, Y))))) <=> ((~cp5(Y)) | (~rr(X, Y)))), ((~(rr(X, Y) & cp5(Y))) <=> ((~cp5(Y)) | (~rr(X, Y)))))), (![Y: $i] : (~(rr(X, Y) & cp5(Y))) <=> ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp4(Y) & cp(Y)) <=> (~((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))))), ((~(rr(X, Y) & cp4(Y) & cp(Y))) <=> (~(~((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))))))), rewrite((~(~((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))))) <=> ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y)))), ((~(rr(X, Y) & cp4(Y) & cp(Y))) <=> ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y)))))), (![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) <=> ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(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))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp2(Y) & cp(Y)) <=> (~((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))))), ((~(rr(X, Y) & cp2(Y) & cp(Y))) <=> (~(~((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))))))), rewrite((~(~((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))))) <=> ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y)))), ((~(rr(X, Y) & cp2(Y) & cp(Y))) <=> ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y)))))), (![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) <=> ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))))), quant_intro(proof_bind(^[Y: $i] : trans(monotonicity(rewrite((rr(X, Y) & cp(Y) & cp3(Y)) <=> (~((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))))), ((~(rr(X, Y) & cp(Y) & cp3(Y))) <=> (~(~((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))))))), rewrite((~(~((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))))) <=> ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y)))), ((~(rr(X, Y) & cp(Y) & cp3(Y))) <=> ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y)))))), (![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) <=> ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(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))))), ((cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y)))) <=> (cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))), rewrite((cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))), ((cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y)))) <=> (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))))) <=> (((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X)))))) & (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))))), rewrite((((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X)))))) & (cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))), ((((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))))) <=> (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))))),
% 0.60/0.82 inference(bind,[status(th)],[])).
% 0.60/0.82 tff(16,plain,
% 0.60/0.82 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))))) <=> ![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.82 inference(quant_intro,[status(thm)],[15])).
% 0.60/0.82 tff(17,plain,
% 0.60/0.82 (^[X: $i] : rewrite((((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & (rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X))) & (rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | (~((tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y)))))) <=> (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))))))),
% 0.60/0.82 inference(bind,[status(th)],[])).
% 0.60/0.82 tff(18,plain,
% 0.60/0.82 (![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & (rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X))) & (rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | (~((tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y)))))) <=> ![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y)))))),
% 0.60/0.82 inference(quant_intro,[status(thm)],[17])).
% 0.60/0.82 tff(19,plain,
% 0.60/0.82 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(20,plain,
% 0.60/0.82 (^[X: $i] : rewrite((cUnsatisfiable(X) <=> (((((((((?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : ((rr(X, Y) & cp4(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp5(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) & rr(X, Y4)) => ((((((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y0 = Y4)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y1 = Y4)) | (Y2 = Y3)) | (Y2 = Y4)) | (Y3 = Y4)))) & ?[Y: $i] : ((rr(X, Y) & cp1(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)))) <=> (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y)))))),
% 0.60/0.82 inference(bind,[status(th)],[])).
% 0.60/0.82 tff(21,plain,
% 0.60/0.82 (![X: $i] : (cUnsatisfiable(X) <=> (((((((((?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : ((rr(X, Y) & cp4(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp5(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) & rr(X, Y4)) => ((((((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y0 = Y4)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y1 = Y4)) | (Y2 = Y3)) | (Y2 = Y4)) | (Y3 = Y4)))) & ?[Y: $i] : ((rr(X, Y) & cp1(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp2(Y)))) <=> ![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))))),
% 0.60/0.82 inference(quant_intro,[status(thm)],[20])).
% 0.60/0.82 tff(22,axiom,(![X: $i] : (cUnsatisfiable(X) <=> (((((((((?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : ((rr(X, Y) & cp4(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp4(Y))) & ?[Y: $i] : ((rr(X, Y) & cp2(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp5(Y))) & ?[Y: $i] : ((rr(X, Y) & cp(Y)) & cp3(Y))) & ?[Y: $i] : (rr(X, Y) & cp1(Y))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : (((((rr(X, Y0) & rr(X, Y1)) & rr(X, Y2)) & rr(X, Y3)) & rr(X, Y4)) => ((((((((((Y0 = Y1) | (Y0 = Y2)) | (Y0 = Y3)) | (Y0 = Y4)) | (Y1 = Y2)) | (Y1 = Y3)) | (Y1 = Y4)) | (Y2 = Y3)) | (Y2 = Y4)) | (Y3 = Y4)))) & ?[Y: $i] : ((rr(X, Y) & cp1(Y)) & cp(Y))) & ?[Y: $i] : (rr(X, Y) & cp2(Y))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.60/0.82 tff(23,plain,
% 0.60/0.82 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.60/0.82 tff(24,plain,
% 0.60/0.82 (![X: $i] : (cUnsatisfiable(X) <=> (?[Y: $i] : (rr(X, Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp4(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp5(Y)) & ?[Y: $i] : (rr(X, Y) & cp(Y) & cp3(Y)) & ?[Y: $i] : (rr(X, Y) & cp1(Y)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & ?[Y: $i] : (rr(X, Y) & cp1(Y) & cp(Y)) & ?[Y: $i] : (rr(X, Y) & cp2(Y))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.60/0.82 tff(25,plain,(
% 0.60/0.82 ![X: $i] : (((~cUnsatisfiable(X)) | ((rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X))) & (rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X))) & (rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X))) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & (rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X))) & (rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X))))) & (cUnsatisfiable(X) | (![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y))) | (~((tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))))))),
% 0.60/0.82 inference(skolemize,[status(sab)],[24])).
% 0.60/0.82 tff(26,plain,
% 0.60/0.82 (![X: $i] : (((~cUnsatisfiable(X)) | (rr(X, tptp_fun_Y_0(X)) & cp3(tptp_fun_Y_0(X)) & rr(X, tptp_fun_Y_1(X)) & cp4(tptp_fun_Y_1(X)) & cp(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)) & cp(tptp_fun_Y_3(X)) & rr(X, tptp_fun_Y_4(X)) & cp5(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)) & cp1(tptp_fun_Y_6(X)) & ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~(rr(X, Y0) & rr(X, Y1) & rr(X, Y2) & rr(X, Y3) & rr(X, Y4)))) & rr(X, tptp_fun_Y_7(X)) & cp1(tptp_fun_Y_7(X)) & cp(tptp_fun_Y_7(X)) & rr(X, tptp_fun_Y_8(X)) & cp2(tptp_fun_Y_8(X)))) & (cUnsatisfiable(X) | (~((tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)) | (~(rr(X, tptp_fun_Y0_13(X)) & rr(X, tptp_fun_Y1_12(X)) & rr(X, tptp_fun_Y2_11(X)) & rr(X, tptp_fun_Y3_10(X)) & rr(X, tptp_fun_Y4_9(X)))))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y))) | ![Y: $i] : (~(rr(X, Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp5(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp4(Y))) | ![Y: $i] : (~(rr(X, Y) & cp2(Y) & cp(Y))) | ![Y: $i] : (~(rr(X, Y) & cp(Y) & cp3(Y))) | ![Y: $i] : (~(rr(X, Y) & cp1(Y)))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.60/0.82 tff(27,plain,
% 0.60/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.60/0.82 tff(28,plain,
% 0.60/0.82 (![X: $i] : (~((~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4)))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))))))) | (~(cUnsatisfiable(X) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)))))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[27, 14])).
% 0.60/0.82 tff(29,plain,
% 0.60/0.82 (![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))),
% 0.60/0.82 inference(modus_ponens,[status(thm)],[28, 9])).
% 0.60/0.82 tff(30,plain,
% 0.60/0.82 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))))))),
% 0.60/0.82 inference(rewrite,[status(thm)],[])).
% 0.60/0.82 tff(31,plain,
% 0.60/0.82 ((~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | (~((~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))))))))) <=> (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))))))),
% 0.60/0.83 inference(rewrite,[status(thm)],[])).
% 0.60/0.83 tff(32,plain,
% 0.60/0.83 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | (~((~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))))))),
% 0.67/0.83 inference(monotonicity,[status(thm)],[31])).
% 0.67/0.83 tff(33,plain,
% 0.67/0.83 (((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | (~((~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4))))))))))) <=> ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))))))),
% 0.67/0.83 inference(transitivity,[status(thm)],[32, 30])).
% 0.67/0.83 tff(34,plain,
% 0.67/0.83 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | (~((~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4))))))))))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(35,plain,
% 0.67/0.83 ((~![X: $i] : (~((~(cUnsatisfiable(X) | (~((~rr(X, tptp_fun_Y3_10(X))) | (~rr(X, tptp_fun_Y4_9(X))) | (~rr(X, tptp_fun_Y0_13(X))) | (~rr(X, tptp_fun_Y1_12(X))) | (~rr(X, tptp_fun_Y2_11(X))) | (tptp_fun_Y1_12(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y3_10(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y2_11(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y1_12(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y4_9(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y3_10(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y2_11(X)) | (tptp_fun_Y0_13(X) = tptp_fun_Y1_12(X)))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(X, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(X, Y)) | (~cp(Y))) | ![Y: $i] : ((~cp1(Y)) | (~rr(X, Y))))) | (~((~cUnsatisfiable(X)) | (~((~cp5(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))) | (~cp1(tptp_fun_Y_6(X))) | (~rr(X, tptp_fun_Y_7(X))) | (~cp1(tptp_fun_Y_7(X))) | (~cp(tptp_fun_Y_7(X))) | (~rr(X, tptp_fun_Y_8(X))) | (~cp2(tptp_fun_Y_8(X))) | (~rr(X, tptp_fun_Y_0(X))) | (~cp3(tptp_fun_Y_0(X))) | (~rr(X, tptp_fun_Y_1(X))) | (~cp4(tptp_fun_Y_1(X))) | (~cp(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))) | (~cp(tptp_fun_Y_3(X))) | (~rr(X, tptp_fun_Y_4(X))) | (~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(X, Y0)) | (~rr(X, Y1)) | (~rr(X, Y2)) | (~rr(X, Y3)) | (~rr(X, Y4))))))))))) | (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))))))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.67/0.83 tff(36,plain,
% 0.67/0.83 (~((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))))),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[35, 29])).
% 0.67/0.83 tff(37,plain,
% 0.67/0.83 (((~(cUnsatisfiable(i2003_11_14_17_19_24236) | ![Y: $i] : ((~cp1(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp5(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | (~((tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y1_12(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y0_13(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y2_11(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y3_10(i2003_11_14_17_19_24236)) | (tptp_fun_Y3_10(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y2_11(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (tptp_fun_Y1_12(i2003_11_14_17_19_24236) = tptp_fun_Y4_9(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y2_11(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y1_12(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y0_13(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y4_9(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y3_10(i2003_11_14_17_19_24236))))) | ![Y: $i] : ((~cp1(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp4(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp2(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))) | ![Y: $i] : ((~cp3(Y)) | (~cp(Y)) | (~rr(i2003_11_14_17_19_24236, Y))))) | (~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))))) | ((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))),
% 0.67/0.83 inference(tautology,[status(thm)],[])).
% 0.67/0.83 tff(38,plain,
% 0.67/0.83 ((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.67/0.84 tff(39,plain,
% 0.67/0.84 (cUnsatisfiable(i2003_11_14_17_19_24236) <=> cUnsatisfiable(i2003_11_14_17_19_24236)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(40,axiom,(cUnsatisfiable(i2003_11_14_17_19_24236)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_7')).
% 0.67/0.84 tff(41,plain,
% 0.67/0.84 (cUnsatisfiable(i2003_11_14_17_19_24236)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.67/0.84 tff(42,plain,
% 0.67/0.84 ((~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))) | (~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(43,plain,
% 0.67/0.84 ((~((~cUnsatisfiable(i2003_11_14_17_19_24236)) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))))) | (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.67/0.84 tff(44,plain,
% 0.67/0.84 (~((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[43, 38])).
% 0.67/0.84 tff(45,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(46,plain,
% 0.67/0.84 (cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.67/0.84 tff(47,plain,
% 0.67/0.84 (^[X: $i] : refl(((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ((~cp3(X)) | (~(cp4(X) | cp5(X)))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(48,plain,
% 0.67/0.84 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[47])).
% 0.67/0.84 tff(49,plain,
% 0.67/0.84 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(50,plain,
% 0.67/0.84 (^[X: $i] : rewrite((cp3(X) => (~(cp4(X) | cp5(X)))) <=> ((~cp3(X)) | (~(cp4(X) | cp5(X)))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(51,plain,
% 0.67/0.84 (![X: $i] : (cp3(X) => (~(cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[50])).
% 0.67/0.84 tff(52,axiom,(![X: $i] : (cp3(X) => (~(cp4(X) | cp5(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_5')).
% 0.67/0.84 tff(53,plain,
% 0.67/0.84 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.67/0.84 tff(54,plain,
% 0.67/0.84 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.67/0.84 tff(55,plain,(
% 0.67/0.84 ![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(skolemize,[status(sab)],[54])).
% 0.67/0.84 tff(56,plain,
% 0.67/0.84 (![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.67/0.84 tff(57,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(58,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(59,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.67/0.84 tff(60,plain,
% 0.67/0.84 (~(cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[59, 56, 46])).
% 0.67/0.84 tff(61,plain,
% 0.67/0.84 ((cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(62,plain,
% 0.67/0.84 (~cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.67/0.84 tff(63,plain,
% 0.67/0.84 (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[62, 7])).
% 0.67/0.84 tff(64,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(65,plain,
% 0.67/0.84 (cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[64, 44])).
% 0.67/0.84 tff(66,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[65, 63])).
% 0.67/0.84 tff(67,plain,(~(tptp_fun_Y_4(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(68,plain,
% 0.67/0.84 (~(tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[67, 3])).
% 0.67/0.84 tff(69,assumption,(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(70,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[69])).
% 0.67/0.84 tff(71,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[70])).
% 0.67/0.84 tff(72,plain,
% 0.67/0.84 ((~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))) <=> (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[71])).
% 0.67/0.84 tff(73,plain,
% 0.67/0.84 ((cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(74,plain,
% 0.67/0.84 (cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[73, 65])).
% 0.67/0.84 tff(75,plain,
% 0.67/0.84 (^[X: $i] : refl(((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(76,plain,
% 0.67/0.84 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[75])).
% 0.67/0.84 tff(77,plain,
% 0.67/0.84 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(78,plain,
% 0.67/0.84 (^[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))))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(79,plain,
% 0.67/0.84 (![X: $i] : (cp2(X) => (~((cp4(X) | cp5(X)) | cp3(X)))) <=> ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[78])).
% 0.67/0.84 tff(80,axiom,(![X: $i] : (cp2(X) => (~((cp4(X) | cp5(X)) | cp3(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_4')).
% 0.67/0.84 tff(81,plain,
% 0.67/0.84 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.67/0.84 tff(82,plain,
% 0.67/0.84 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.67/0.84 tff(83,plain,(
% 0.67/0.84 ![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(skolemize,[status(sab)],[82])).
% 0.67/0.84 tff(84,plain,
% 0.67/0.84 (![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[83, 76])).
% 0.67/0.84 tff(85,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(86,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(87,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.67/0.84 tff(88,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[87, 84, 74])).
% 0.67/0.84 tff(89,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[88, 72])).
% 0.67/0.84 tff(90,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(91,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[90, 44])).
% 0.67/0.84 tff(92,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[91, 89])).
% 0.67/0.84 tff(93,plain,(~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(94,assumption,(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(95,plain,
% 0.67/0.84 (cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[94])).
% 0.67/0.84 tff(96,plain,
% 0.67/0.84 (cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[95])).
% 0.67/0.84 tff(97,plain,
% 0.67/0.84 ((~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))) <=> (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[96])).
% 0.67/0.84 tff(98,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(99,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[98, 44])).
% 0.67/0.84 tff(100,plain,
% 0.67/0.84 ((cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(101,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.67/0.84 tff(102,plain,
% 0.67/0.84 (^[X: $i] : refl(((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(103,plain,
% 0.67/0.84 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[102])).
% 0.67/0.84 tff(104,plain,
% 0.67/0.84 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(105,plain,
% 0.67/0.84 (^[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))))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(106,plain,
% 0.67/0.84 (![X: $i] : (cp1(X) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X)))) <=> ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[105])).
% 0.67/0.84 tff(107,axiom,(![X: $i] : (cp1(X) => (~(((cp2(X) | cp4(X)) | cp5(X)) | cp3(X))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_3')).
% 0.67/0.84 tff(108,plain,
% 0.67/0.84 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.67/0.84 tff(109,plain,
% 0.67/0.84 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.67/0.84 tff(110,plain,(
% 0.67/0.84 ![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(skolemize,[status(sab)],[109])).
% 0.67/0.84 tff(111,plain,
% 0.67/0.84 (![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.67/0.84 tff(112,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(113,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(114,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.67/0.84 tff(115,plain,
% 0.67/0.84 (~cp1(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[114, 111, 101])).
% 0.67/0.84 tff(116,plain,
% 0.67/0.84 (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[115, 97])).
% 0.67/0.84 tff(117,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(118,plain,
% 0.67/0.84 (cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[117, 44])).
% 0.67/0.84 tff(119,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[118, 116])).
% 0.67/0.84 tff(120,plain,(~(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(121,plain,
% 0.67/0.84 ((tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(commutativity,[status(thm)],[])).
% 0.67/0.84 tff(122,plain,
% 0.67/0.84 ((tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_7(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[121])).
% 0.67/0.84 tff(123,plain,
% 0.67/0.84 ((~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_7(i2003_11_14_17_19_24236))) <=> (~(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[122])).
% 0.67/0.84 tff(124,assumption,(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_7(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(125,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[124])).
% 0.67/0.84 tff(126,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[125])).
% 0.67/0.84 tff(127,plain,
% 0.67/0.84 ((~cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236))) <=> (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[126])).
% 0.67/0.84 tff(128,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(129,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(130,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.67/0.84 tff(131,plain,
% 0.67/0.84 (~(cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[130, 111, 118])).
% 0.67/0.84 tff(132,plain,
% 0.67/0.84 ((cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_7(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(133,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.67/0.84 tff(134,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[133, 127])).
% 0.67/0.84 tff(135,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[91, 134])).
% 0.67/0.84 tff(136,plain,(~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_7(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(137,plain,
% 0.67/0.84 (~(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[136, 123])).
% 0.67/0.84 tff(138,plain,
% 0.67/0.84 ((tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(commutativity,[status(thm)],[])).
% 0.67/0.84 tff(139,plain,
% 0.67/0.84 ((~(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236))) <=> (~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[138])).
% 0.67/0.84 tff(140,assumption,(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(141,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) <=> cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[140])).
% 0.67/0.84 tff(142,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[141])).
% 0.67/0.84 tff(143,plain,
% 0.67/0.84 ((~cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236))) <=> (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[142])).
% 0.67/0.84 tff(144,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(145,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(146,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.67/0.84 tff(147,plain,
% 0.67/0.84 (~(cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[146, 84, 91])).
% 0.67/0.84 tff(148,plain,
% 0.67/0.84 ((cp3(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(149,plain,
% 0.67/0.84 (~cp4(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.67/0.84 tff(150,plain,
% 0.67/0.84 (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[149, 143])).
% 0.67/0.84 tff(151,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[99, 150])).
% 0.67/0.84 tff(152,plain,(~(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(153,plain,
% 0.67/0.84 (~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[152, 139])).
% 0.67/0.84 tff(154,assumption,(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(155,plain,
% 0.67/0.84 (cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[154])).
% 0.67/0.84 tff(156,plain,
% 0.67/0.84 (cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[155])).
% 0.67/0.84 tff(157,plain,
% 0.67/0.84 ((~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))) <=> (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[156])).
% 0.67/0.84 tff(158,plain,
% 0.67/0.84 ((cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(159,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[158, 46])).
% 0.67/0.84 tff(160,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(161,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(162,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.67/0.84 tff(163,plain,
% 0.67/0.84 (~cp1(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[162, 111, 159])).
% 0.67/0.84 tff(164,plain,
% 0.67/0.84 (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[163, 157])).
% 0.67/0.84 tff(165,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[118, 164])).
% 0.67/0.84 tff(166,plain,(~(tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(167,plain,
% 0.67/0.84 ((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) <=> (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(commutativity,[status(thm)],[])).
% 0.67/0.84 tff(168,plain,
% 0.67/0.84 ((~(tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236))) <=> (~(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[167])).
% 0.67/0.84 tff(169,assumption,(tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(170,plain,
% 0.67/0.84 (cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) <=> cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[169])).
% 0.67/0.84 tff(171,plain,
% 0.67/0.84 (cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236)) <=> cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[170])).
% 0.67/0.84 tff(172,plain,
% 0.67/0.84 ((~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))) <=> (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[171])).
% 0.67/0.84 tff(173,plain,
% 0.67/0.84 ((cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(174,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[173, 99])).
% 0.67/0.84 tff(175,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(176,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | ((~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(177,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp3(X)) | (~(cp4(X) | cp5(X))))) | (~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~(cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_1(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.67/0.84 tff(178,plain,
% 0.67/0.84 (~cp3(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[177, 56, 174])).
% 0.67/0.84 tff(179,plain,
% 0.67/0.84 (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[178, 172])).
% 0.67/0.84 tff(180,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[46, 179])).
% 0.67/0.84 tff(181,plain,(~(tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(182,plain,
% 0.67/0.84 (~(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[181, 168])).
% 0.67/0.84 tff(183,assumption,(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(184,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[183])).
% 0.67/0.84 tff(185,plain,
% 0.67/0.84 (cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236)) <=> cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[184])).
% 0.67/0.84 tff(186,plain,
% 0.67/0.84 ((~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))) <=> (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[185])).
% 0.67/0.84 tff(187,plain,
% 0.67/0.84 ((cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(tautology,[status(thm)],[])).
% 0.67/0.84 tff(188,plain,
% 0.67/0.84 (cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[187, 46])).
% 0.67/0.84 tff(189,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(190,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | ((~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236)))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(191,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp2(X)) | (~(cp3(X) | cp4(X) | cp5(X))))) | (~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~(cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_5(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_5(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.67/0.84 tff(192,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[191, 84, 188])).
% 0.67/0.84 tff(193,plain,
% 0.67/0.84 (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[192, 186])).
% 0.67/0.84 tff(194,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[91, 193])).
% 0.67/0.84 tff(195,plain,(~(tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(196,assumption,(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)), introduced(assumption)).
% 0.67/0.84 tff(197,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)) <=> cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[196])).
% 0.67/0.84 tff(198,plain,
% 0.67/0.84 (cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) <=> cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(symmetry,[status(thm)],[197])).
% 0.67/0.84 tff(199,plain,
% 0.67/0.84 ((~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))) <=> (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(monotonicity,[status(thm)],[198])).
% 0.67/0.84 tff(200,plain,
% 0.67/0.84 (^[X: $i] : refl(((~cp4(X)) | (~cp5(X))) <=> ((~cp4(X)) | (~cp5(X))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(201,plain,
% 0.67/0.84 (![X: $i] : ((~cp4(X)) | (~cp5(X))) <=> ![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[200])).
% 0.67/0.84 tff(202,plain,
% 0.67/0.84 (![X: $i] : ((~cp4(X)) | (~cp5(X))) <=> ![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(203,plain,
% 0.67/0.84 (^[X: $i] : rewrite((cp4(X) => (~cp5(X))) <=> ((~cp4(X)) | (~cp5(X))))),
% 0.67/0.84 inference(bind,[status(th)],[])).
% 0.67/0.84 tff(204,plain,
% 0.67/0.84 (![X: $i] : (cp4(X) => (~cp5(X))) <=> ![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(quant_intro,[status(thm)],[203])).
% 0.67/0.84 tff(205,axiom,(![X: $i] : (cp4(X) => (~cp5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_6')).
% 0.67/0.84 tff(206,plain,
% 0.67/0.84 (![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.67/0.84 tff(207,plain,
% 0.67/0.84 (![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.67/0.84 tff(208,plain,(
% 0.67/0.84 ![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(skolemize,[status(sab)],[207])).
% 0.67/0.84 tff(209,plain,
% 0.67/0.84 (![X: $i] : ((~cp4(X)) | (~cp5(X)))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.67/0.84 tff(210,plain,
% 0.67/0.84 (((~![X: $i] : ((~cp4(X)) | (~cp5(X)))) | ((~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))) <=> ((~![X: $i] : ((~cp4(X)) | (~cp5(X)))) | (~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(211,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp4(X)) | (~cp5(X)))) | ((~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(212,plain,
% 0.67/0.84 ((~![X: $i] : ((~cp4(X)) | (~cp5(X)))) | (~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.67/0.84 tff(213,plain,
% 0.67/0.84 (~cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[212, 209, 65])).
% 0.67/0.84 tff(214,plain,
% 0.67/0.84 (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[213, 199])).
% 0.67/0.84 tff(215,plain,
% 0.67/0.84 ($false),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[99, 214])).
% 0.67/0.84 tff(216,plain,(~(tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.84 tff(217,plain,
% 0.67/0.84 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(218,plain,
% 0.67/0.85 (rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[217, 44])).
% 0.67/0.85 tff(219,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(220,plain,
% 0.67/0.85 (rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[219, 44])).
% 0.67/0.85 tff(221,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(222,plain,
% 0.67/0.85 (rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[221, 44])).
% 0.67/0.85 tff(223,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(224,plain,
% 0.67/0.85 (rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[223, 44])).
% 0.67/0.85 tff(225,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(226,plain,
% 0.67/0.85 (rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[225, 44])).
% 0.67/0.85 tff(227,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_2(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp4(tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_0(i2003_11_14_17_19_24236))) | (~cp2(tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_8(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~cp1(tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_6(i2003_11_14_17_19_24236))) | (~cp3(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp(tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))) | ![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(228,plain,
% 0.67/0.85 (![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[227, 44])).
% 0.67/0.85 tff(229,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | ((~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(230,plain,
% 0.67/0.85 (((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236)))) <=> ((~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(231,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | ((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | ((~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[230])).
% 0.67/0.85 tff(232,plain,
% 0.67/0.85 (((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | ((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))))) <=> ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[231, 229])).
% 0.67/0.85 tff(233,plain,
% 0.67/0.85 ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | ((tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(234,plain,
% 0.67/0.85 ((~![Y0: $i, Y1: $i, Y2: $i, Y3: $i, Y4: $i] : ((Y3 = Y4) | (Y2 = Y3) | (Y2 = Y4) | (Y1 = Y4) | (Y1 = Y3) | (Y1 = Y2) | (Y0 = Y4) | (Y0 = Y3) | (Y0 = Y2) | (Y0 = Y1) | (~rr(i2003_11_14_17_19_24236, Y0)) | (~rr(i2003_11_14_17_19_24236, Y1)) | (~rr(i2003_11_14_17_19_24236, Y2)) | (~rr(i2003_11_14_17_19_24236, Y3)) | (~rr(i2003_11_14_17_19_24236, Y4)))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_3(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_1(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_7(i2003_11_14_17_19_24236))) | (~rr(i2003_11_14_17_19_24236, tptp_fun_Y_5(i2003_11_14_17_19_24236))) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.67/0.85 tff(235,plain,
% 0.67/0.85 ((tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_1(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_5(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_3(i2003_11_14_17_19_24236)) | (tptp_fun_Y_3(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_1(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)) | (tptp_fun_Y_5(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[234, 228, 226, 224, 222, 220, 218])).
% 0.67/0.85 tff(236,plain,
% 0.67/0.85 (tptp_fun_Y_7(i2003_11_14_17_19_24236) = tptp_fun_Y_4(i2003_11_14_17_19_24236)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[235, 216, 195, 182, 166, 153, 137, 120, 93, 68])).
% 0.67/0.85 tff(237,plain,
% 0.67/0.85 (cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[236])).
% 0.67/0.85 tff(238,plain,
% 0.67/0.85 (cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236)) <=> cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(symmetry,[status(thm)],[237])).
% 0.67/0.85 tff(239,plain,
% 0.67/0.85 ((~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))) <=> (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236)))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[238])).
% 0.67/0.85 tff(240,plain,
% 0.67/0.85 ((cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))),
% 0.67/0.85 inference(tautology,[status(thm)],[])).
% 0.67/0.85 tff(241,plain,
% 0.67/0.85 (cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[240, 65])).
% 0.67/0.85 tff(242,plain,
% 0.67/0.85 (((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))) <=> ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(243,plain,
% 0.67/0.85 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | ((~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236)))))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(244,plain,
% 0.67/0.85 ((~![X: $i] : ((~cp1(X)) | (~(cp2(X) | cp3(X) | cp4(X) | cp5(X))))) | (~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))) | (~(cp2(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp3(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp4(tptp_fun_Y_4(i2003_11_14_17_19_24236)) | cp5(tptp_fun_Y_4(i2003_11_14_17_19_24236))))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.67/0.86 tff(245,plain,
% 0.67/0.86 (~cp1(tptp_fun_Y_4(i2003_11_14_17_19_24236))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[244, 111, 241])).
% 0.67/0.86 tff(246,plain,
% 0.67/0.86 (~cp1(tptp_fun_Y_7(i2003_11_14_17_19_24236))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[245, 239])).
% 0.67/0.86 tff(247,plain,
% 0.67/0.86 ($false),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[118, 246])).
% 0.67/0.86 % SZS output end Proof
% 0.67/0.86 % E exiting
%------------------------------------------------------------------------------