%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:40 PM UTC 2026
% Result : Theorem 11.65s 11.92s
% Output : Proof 11.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL686+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n027.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Fri Sep 4 18:50:29 UTC 2026
% 0.09/0.35 % CPUTime :
% 11.65/11.92 % SZS status Theorem
% 11.65/11.92 % SZS output start Proof
% 11.65/11.92 tff(p2_type, type, (
% 11.65/11.92 p2: $i > $o)).
% 11.65/11.92 tff(tptp_fun_Y_18_type, type, (
% 11.65/11.92 tptp_fun_Y_18: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_3_type, type, (
% 11.65/11.92 tptp_fun_Y_3: $i)).
% 11.65/11.92 tff(p1_type, type, (
% 11.65/11.92 p1: $i > $o)).
% 11.65/11.92 tff(p6_type, type, (
% 11.65/11.92 p6: $i > $o)).
% 11.65/11.92 tff(p5_type, type, (
% 11.65/11.92 p5: $i > $o)).
% 11.65/11.92 tff(r1_type, type, (
% 11.65/11.92 r1: ( $i * $i ) > $o)).
% 11.65/11.92 tff(tptp_fun_Y_17_type, type, (
% 11.65/11.92 tptp_fun_Y_17: $i > $i)).
% 11.65/11.92 tff(tptp_fun_X_16_type, type, (
% 11.65/11.92 tptp_fun_X_16: $i > $i)).
% 11.65/11.92 tff(p3_type, type, (
% 11.65/11.92 p3: $i > $o)).
% 11.65/11.92 tff(tptp_fun_X_8_type, type, (
% 11.65/11.92 tptp_fun_X_8: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_7_type, type, (
% 11.65/11.92 tptp_fun_Y_7: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_9_type, type, (
% 11.65/11.92 tptp_fun_Y_9: $i > $i)).
% 11.65/11.92 tff(tptp_fun_X_10_type, type, (
% 11.65/11.92 tptp_fun_X_10: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_11_type, type, (
% 11.65/11.92 tptp_fun_Y_11: $i > $i)).
% 11.65/11.92 tff(p9_type, type, (
% 11.65/11.92 p9: $i > $o)).
% 11.65/11.92 tff(p10_type, type, (
% 11.65/11.92 p10: $i > $o)).
% 11.65/11.92 tff(p7_type, type, (
% 11.65/11.92 p7: $i > $o)).
% 11.65/11.92 tff(p4_type, type, (
% 11.65/11.92 p4: $i > $o)).
% 11.65/11.92 tff(tptp_fun_X_12_type, type, (
% 11.65/11.92 tptp_fun_X_12: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_13_type, type, (
% 11.65/11.92 tptp_fun_Y_13: $i > $i)).
% 11.65/11.92 tff(tptp_fun_X_14_type, type, (
% 11.65/11.92 tptp_fun_X_14: $i > $i)).
% 11.65/11.92 tff(tptp_fun_Y_4_type, type, (
% 11.65/11.92 tptp_fun_Y_4: $i > $i)).
% 11.65/11.92 tff(p8_type, type, (
% 11.65/11.92 p8: $i > $o)).
% 11.65/11.92 tff(tptp_fun_Y_15_type, type, (
% 11.65/11.92 tptp_fun_Y_15: $i > $i)).
% 11.65/11.92 tff(p15_type, type, (
% 11.65/11.92 p15: $i > $o)).
% 11.65/11.92 tff(tptp_fun_Y_5_type, type, (
% 11.65/11.92 tptp_fun_Y_5: $i > $i)).
% 11.65/11.92 tff(tptp_fun_X_6_type, type, (
% 11.65/11.92 tptp_fun_X_6: $i > $i)).
% 11.65/11.92 tff(p11_type, type, (
% 11.65/11.92 p11: $i > $o)).
% 11.65/11.92 tff(p12_type, type, (
% 11.65/11.92 p12: $i > $o)).
% 11.65/11.92 tff(p13_type, type, (
% 11.65/11.92 p13: $i > $o)).
% 11.65/11.92 tff(p14_type, type, (
% 11.65/11.92 p14: $i > $o)).
% 11.65/11.92 tff(tptp_fun_X_0_type, type, (
% 11.65/11.92 tptp_fun_X_0: $i)).
% 11.65/11.92 tff(tptp_fun_Y_1_type, type, (
% 11.65/11.92 tptp_fun_Y_1: $i)).
% 11.65/11.92 tff(tptp_fun_X_2_type, type, (
% 11.65/11.92 tptp_fun_X_2: $i)).
% 11.65/11.92 tff(1,assumption,(~p2(tptp_fun_Y_18(Y!3))), introduced(assumption)).
% 11.65/11.92 tff(2,assumption,(~r1(Y!3, Y!3)), introduced(assumption)).
% 11.65/11.92 tff(3,plain,
% 11.65/11.92 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 11.65/11.92 inference(bind,[status(th)],[])).
% 11.65/11.92 tff(4,plain,
% 11.65/11.92 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 11.65/11.92 inference(quant_intro,[status(thm)],[3])).
% 11.65/11.92 tff(5,plain,
% 11.65/11.92 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 11.65/11.92 inference(rewrite,[status(thm)],[])).
% 11.65/11.92 tff(6,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 11.65/11.92 tff(7,plain,
% 11.65/11.92 (![X: $i] : r1(X, X)),
% 11.65/11.92 inference(modus_ponens,[status(thm)],[6, 5])).
% 11.65/11.92 tff(8,plain,(
% 11.65/11.92 ![X: $i] : r1(X, X)),
% 11.65/11.92 inference(skolemize,[status(sab)],[7])).
% 11.65/11.92 tff(9,plain,
% 11.65/11.92 (![X: $i] : r1(X, X)),
% 11.65/11.92 inference(modus_ponens,[status(thm)],[8, 4])).
% 11.65/11.92 tff(10,plain,
% 11.65/11.92 ((~![X: $i] : r1(X, X)) | r1(Y!3, Y!3)),
% 11.65/11.92 inference(quant_inst,[status(thm)],[])).
% 11.65/11.92 tff(11,plain,
% 11.65/11.92 ($false),
% 11.65/11.92 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 11.65/11.92 tff(12,plain,(r1(Y!3, Y!3)), inference(lemma,lemma(discharge,[]))).
% 11.65/11.92 tff(13,plain,
% 11.65/11.92 (^[X: $i] : rewrite(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))))),
% 11.65/11.92 inference(bind,[status(th)],[])).
% 11.65/11.92 tff(14,plain,
% 11.65/11.92 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 11.65/11.93 inference(quant_intro,[status(thm)],[13])).
% 11.65/11.93 tff(15,plain,
% 11.65/11.93 (^[X: $i] : refl(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 11.65/11.93 inference(bind,[status(th)],[])).
% 11.65/11.93 tff(16,plain,
% 11.65/11.93 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.93 inference(quant_intro,[status(thm)],[15])).
% 11.65/11.93 tff(17,plain,
% 11.65/11.93 (^[X: $i] : rewrite(((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 11.65/11.93 inference(bind,[status(th)],[])).
% 11.65/11.93 tff(18,plain,
% 11.65/11.93 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.93 inference(quant_intro,[status(thm)],[17])).
% 11.65/11.93 tff(19,plain,
% 11.65/11.93 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.94 inference(transitivity,[status(thm)],[18, 16])).
% 11.65/11.94 tff(20,plain,
% 11.65/11.94 (^[X: $i] : rewrite(((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))) <=> ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X))))))))),
% 11.65/11.94 inference(bind,[status(th)],[])).
% 11.65/11.94 tff(21,plain,
% 11.65/11.94 (![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))) <=> ![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.94 inference(quant_intro,[status(thm)],[20])).
% 11.65/11.94 tff(22,plain,
% 11.65/11.94 (((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 11.65/11.94 inference(rewrite,[status(thm)],[])).
% 11.65/11.94 tff(23,plain,
% 11.65/11.94 ((r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & (r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & (r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & (r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & (r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & (r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & (r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & (r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & (r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & (r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & (r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & (r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & (r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))) <=> (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 11.65/11.95 inference(rewrite,[status(thm)],[])).
% 11.65/11.95 tff(24,plain,
% 11.65/11.95 ((~((~r1(Y!1, X!2)) | (~p1(X!2)))) <=> (~((~r1(Y!1, X!2)) | (~p1(X!2))))),
% 11.65/11.95 inference(rewrite,[status(thm)],[])).
% 11.65/11.95 tff(25,plain,
% 11.65/11.95 ((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1))),
% 11.65/11.95 inference(monotonicity,[status(thm)],[24])).
% 11.65/11.95 tff(26,plain,
% 11.65/11.95 (((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & (r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & (r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & (r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & (r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & (r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & (r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & (r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & (r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & (r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & (r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & (r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & (r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> ((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))))),
% 11.65/11.95 inference(monotonicity,[status(thm)],[25, 23])).
% 11.65/11.95 tff(27,plain,
% 11.65/11.95 (((r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1)) & (r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & (r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & (r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & (r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & (r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & (r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & (r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & (r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & (r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & (r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & (r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & (r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & (r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)))))))))))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))) <=> (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X)))))))))),
% 11.65/11.95 inference(transitivity,[status(thm)],[26, 22])).
% 11.65/11.95 tff(28,plain,
% 11.65/11.95 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 11.65/11.95 inference(rewrite,[status(thm)],[])).
% 11.65/11.95 tff(29,plain,
% 11.65/11.95 ((~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 11.65/11.96 inference(rewrite,[status(thm)],[])).
% 11.65/11.96 tff(30,plain,
% 11.65/11.96 ((~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y))))))))))) <=> (~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y))))))))))))),
% 11.65/11.96 inference(rewrite,[status(thm)],[])).
% 11.65/11.96 tff(31,plain,
% 11.65/11.96 ((~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))) <=> (~(~?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))))),
% 11.65/11.96 inference(monotonicity,[status(thm)],[30])).
% 11.65/11.96 tff(32,plain,
% 11.65/11.96 ((~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))) <=> ?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 11.65/11.96 inference(transitivity,[status(thm)],[31, 29])).
% 11.65/11.96 tff(33,axiom,(~(~?[X: $i] : (~(![Y: $i] : (((~r1(X, Y)) | (~p15(Y))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(((![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | $false)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))))) | ![Y: $i] : ((~r1(X, Y)) | p15(Y))) | ![Y: $i] : (((((((((((((((((((((((((((~r1(X, Y)) | ((~p13(Y)) & (~p14(Y)))) | (p14(Y) & p13(Y))) | ((~p12(Y)) & (~p13(Y)))) | (p13(Y) & p12(Y))) | ((~p11(Y)) & (~p12(Y)))) | (p12(Y) & p11(Y))) | ((~p10(Y)) & (~p11(Y)))) | (p11(Y) & p10(Y))) | ((~p9(Y)) & (~p10(Y)))) | (p10(Y) & p9(Y))) | ((~p8(Y)) & (~p9(Y)))) | (p9(Y) & p8(Y))) | ((~p7(Y)) & (~p8(Y)))) | (p8(Y) & p7(Y))) | ((~p6(Y)) & (~p7(Y)))) | (p7(Y) & p6(Y))) | ((~p5(Y)) & (~p6(Y)))) | (p6(Y) & p5(Y))) | ((~p4(Y)) & (~p5(Y)))) | (p5(Y) & p4(Y))) | ((~p3(Y)) & (~p4(Y)))) | (p4(Y) & p3(Y))) | ((~p2(Y)) & (~p3(Y)))) | (p3(Y) & p2(Y))) | ((~p1(Y)) & (~p2(Y)))) | (p2(Y) & p1(Y)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 11.65/11.96 tff(34,plain,
% 11.65/11.96 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[33, 32])).
% 11.65/11.97 tff(35,plain,
% 11.65/11.97 (?[X: $i] : (~(![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X))) | (~p15(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~(![Y: $i] : ((~r1(X, Y)) | p15(Y)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y)))))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X)))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y)))))) | ![Y: $i] : (~r1(X, Y)))))))))))))) | ![Y: $i] : ((~r1(X, Y)) | (p2(Y) & p1(Y)) | ((~p1(Y)) & (~p2(Y))) | (p3(Y) & p2(Y)) | ((~p2(Y)) & (~p3(Y))) | (p4(Y) & p3(Y)) | ((~p3(Y)) & (~p4(Y))) | (p5(Y) & p4(Y)) | ((~p4(Y)) & (~p5(Y))) | (p6(Y) & p5(Y)) | ((~p5(Y)) & (~p6(Y))) | (p7(Y) & p6(Y)) | ((~p6(Y)) & (~p7(Y))) | (p8(Y) & p7(Y)) | ((~p7(Y)) & (~p8(Y))) | (p9(Y) & p8(Y)) | ((~p8(Y)) & (~p9(Y))) | (p10(Y) & p9(Y)) | ((~p9(Y)) & (~p10(Y))) | (p11(Y) & p10(Y)) | ((~p10(Y)) & (~p11(Y))) | (p12(Y) & p11(Y)) | ((~p11(Y)) & (~p12(Y))) | (p13(Y) & p12(Y)) | ((~p12(Y)) & (~p13(Y))) | (p14(Y) & p13(Y)) | ((~p13(Y)) & (~p14(Y)))))))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[34, 28])).
% 11.65/11.97 tff(36,plain,
% 11.65/11.97 (r1(X!0, Y!1) & (~((~r1(Y!1, X!2)) | (~p1(X!2)))) & p15(Y!1) & r1(X!0, Y!3) & ![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[35, 27])).
% 11.65/11.97 tff(37,plain,
% 11.65/11.97 (![X: $i] : ((~r1(Y!3, X)) | ((~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)))) & ![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p1(Y))) | ((~p2(Y)) & p1(Y))))) & r1(X, tptp_fun_Y_5(X)) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((p3(X) & (~p2(X))) | ((~p3(X)) & p2(X))))) & r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)) & ![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((p4(Y) & (~p3(Y))) | ((~p4(Y)) & p3(Y))))) & r1(tptp_fun_X_6(X), tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((p5(X) & (~p4(X))) | ((~p5(X)) & p4(X))))) & r1(tptp_fun_Y_7(X), tptp_fun_X_8(X)) & ![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((p6(Y) & (~p5(Y))) | ((~p6(Y)) & p5(Y))))) & r1(tptp_fun_X_8(X), tptp_fun_Y_9(X)) & ![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((p7(X) & (~p6(X))) | ((~p7(X)) & p6(X))))) & r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)) & ![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((p8(Y) & (~p7(Y))) | ((~p8(Y)) & p7(Y))))) & r1(tptp_fun_X_10(X), tptp_fun_Y_11(X)) & ![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((p9(X) & (~p8(X))) | ((~p9(X)) & p8(X))))) & r1(tptp_fun_Y_11(X), tptp_fun_X_12(X)) & ![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((p10(Y) & (~p9(Y))) | ((~p10(Y)) & p9(Y))))) & r1(tptp_fun_X_12(X), tptp_fun_Y_13(X)) & ![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((p11(X) & (~p10(X))) | ((~p11(X)) & p10(X))))) & r1(tptp_fun_Y_13(X), tptp_fun_X_14(X)) & ![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((p12(Y) & (~p11(Y))) | ((~p12(Y)) & p11(Y))))) & r1(tptp_fun_X_14(X), tptp_fun_Y_15(X)) & ![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((p13(X) & (~p12(X))) | ((~p13(X)) & p12(X))))) & r1(tptp_fun_Y_15(X), tptp_fun_X_16(X)) & ![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((p14(Y) & (~p13(Y))) | ((~p14(Y)) & p13(Y))))) & r1(tptp_fun_X_16(X), tptp_fun_Y_17(X)) & (~((~r1(X, tptp_fun_Y_18(X))) | (p2(tptp_fun_Y_18(X)) & p1(tptp_fun_Y_18(X))) | ((~p1(tptp_fun_Y_18(X))) & (~p2(tptp_fun_Y_18(X)))) | (p3(tptp_fun_Y_18(X)) & p2(tptp_fun_Y_18(X))) | ((~p2(tptp_fun_Y_18(X))) & (~p3(tptp_fun_Y_18(X)))) | (p4(tptp_fun_Y_18(X)) & p3(tptp_fun_Y_18(X))) | ((~p3(tptp_fun_Y_18(X))) & (~p4(tptp_fun_Y_18(X)))) | (p5(tptp_fun_Y_18(X)) & p4(tptp_fun_Y_18(X))) | ((~p4(tptp_fun_Y_18(X))) & (~p5(tptp_fun_Y_18(X)))) | (p6(tptp_fun_Y_18(X)) & p5(tptp_fun_Y_18(X))) | ((~p5(tptp_fun_Y_18(X))) & (~p6(tptp_fun_Y_18(X)))) | (p7(tptp_fun_Y_18(X)) & p6(tptp_fun_Y_18(X))) | ((~p6(tptp_fun_Y_18(X))) & (~p7(tptp_fun_Y_18(X)))) | (p8(tptp_fun_Y_18(X)) & p7(tptp_fun_Y_18(X))) | ((~p7(tptp_fun_Y_18(X))) & (~p8(tptp_fun_Y_18(X)))) | (p9(tptp_fun_Y_18(X)) & p8(tptp_fun_Y_18(X))) | ((~p8(tptp_fun_Y_18(X))) & (~p9(tptp_fun_Y_18(X)))) | (p10(tptp_fun_Y_18(X)) & p9(tptp_fun_Y_18(X))) | ((~p9(tptp_fun_Y_18(X))) & (~p10(tptp_fun_Y_18(X)))) | (p11(tptp_fun_Y_18(X)) & p10(tptp_fun_Y_18(X))) | ((~p10(tptp_fun_Y_18(X))) & (~p11(tptp_fun_Y_18(X)))) | (p12(tptp_fun_Y_18(X)) & p11(tptp_fun_Y_18(X))) | ((~p11(tptp_fun_Y_18(X))) & (~p12(tptp_fun_Y_18(X)))) | (p13(tptp_fun_Y_18(X)) & p12(tptp_fun_Y_18(X))) | ((~p12(tptp_fun_Y_18(X))) & (~p13(tptp_fun_Y_18(X)))) | (p14(tptp_fun_Y_18(X)) & p13(tptp_fun_Y_18(X))) | ((~p13(tptp_fun_Y_18(X))) & (~p14(tptp_fun_Y_18(X))))))))),
% 11.65/11.97 inference(and_elim,[status(thm)],[36])).
% 11.65/11.97 tff(38,plain,
% 11.65/11.97 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[37, 21])).
% 11.65/11.97 tff(39,plain,
% 11.65/11.97 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[38, 19])).
% 11.65/11.97 tff(40,plain,
% 11.65/11.97 (![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 11.65/11.97 inference(modus_ponens,[status(thm)],[39, 14])).
% 11.65/11.97 tff(41,plain,
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((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))))))),
% 11.65/11.98 inference(rewrite,[status(thm)],[])).
% 11.65/11.98 tff(42,plain,
% 11.65/11.98 (((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y))))))))))) <=> ((~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))))))),
% 11.65/11.99 inference(rewrite,[status(thm)],[])).
% 11.65/11.99 tff(43,plain,
% 11.65/11.99 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))))))),
% 11.65/11.99 inference(monotonicity,[status(thm)],[42])).
% 11.65/11.99 tff(44,plain,
% 11.65/11.99 (((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | (~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))))))),
% 11.65/12.00 inference(transitivity,[status(thm)],[43, 41])).
% 11.65/12.00 tff(45,plain,
% 11.65/12.00 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | (~p5(tptp_fun_Y_18(X))))) | (~(p4(tptp_fun_Y_18(X)) | p5(tptp_fun_Y_18(X)))) | (~((~p5(tptp_fun_Y_18(X))) | (~p6(tptp_fun_Y_18(X))))) | (~r1(tptp_fun_X_16(X), tptp_fun_Y_17(X))) | (~(p5(tptp_fun_Y_18(X)) | p6(tptp_fun_Y_18(X)))) | (~((~p6(tptp_fun_Y_18(X))) | (~p7(tptp_fun_Y_18(X))))) | (~(p6(tptp_fun_Y_18(X)) | p7(tptp_fun_Y_18(X)))) | (~((~p7(tptp_fun_Y_18(X))) | (~p8(tptp_fun_Y_18(X))))) | (~(p7(tptp_fun_Y_18(X)) | p8(tptp_fun_Y_18(X)))) | (~((~p8(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p8(tptp_fun_Y_18(X)) | p9(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p9(tptp_fun_Y_18(X))))) | (~(p9(tptp_fun_Y_18(X)) | p10(tptp_fun_Y_18(X)))) | (~((~p10(tptp_fun_Y_18(X))) | (~p11(tptp_fun_Y_18(X))))) | (~(p10(tptp_fun_Y_18(X)) | p11(tptp_fun_Y_18(X)))) | (~((~p11(tptp_fun_Y_18(X))) | (~p12(tptp_fun_Y_18(X))))) | (~(p11(tptp_fun_Y_18(X)) | p12(tptp_fun_Y_18(X)))) | (~((~p12(tptp_fun_Y_18(X))) | (~p13(tptp_fun_Y_18(X))))) | (~(p12(tptp_fun_Y_18(X)) | p13(tptp_fun_Y_18(X)))) | (~((~p13(tptp_fun_Y_18(X))) | (~p14(tptp_fun_Y_18(X))))) | (~(p13(tptp_fun_Y_18(X)) | p14(tptp_fun_Y_18(X)))) | (~![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(X), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(X), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(X), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(X), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(X), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(X), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(X), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(X), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(X), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(X), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))) | ((~r1(Y!3, Y!3)) | (~((~r1(Y!3, tptp_fun_Y_4(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~(p9(tptp_fun_Y_18(Y!3)) | p10(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))))))),
% 11.65/12.00 inference(quant_inst,[status(thm)],[])).
% 11.65/12.00 tff(46,plain,
% 11.65/12.00 ((~![X: $i] : ((~r1(Y!3, X)) | (~((~r1(X, tptp_fun_Y_4(X))) | p15(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_5(X))) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~r1(tptp_fun_X_6(X), tptp_fun_Y_7(X))) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~r1(tptp_fun_X_8(X), tptp_fun_Y_9(X))) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))) | (~r1(tptp_fun_X_10(X), tptp_fun_Y_11(X))) | (~r1(tptp_fun_Y_11(X), tptp_fun_X_12(X))) | (~r1(tptp_fun_X_12(X), tptp_fun_Y_13(X))) | (~r1(tptp_fun_Y_13(X), tptp_fun_X_14(X))) | (~r1(tptp_fun_X_14(X), tptp_fun_Y_15(X))) | (~r1(tptp_fun_Y_15(X), tptp_fun_X_16(X))) | (~r1(X, tptp_fun_Y_18(X))) | (~((~p1(tptp_fun_Y_18(X))) | (~p2(tptp_fun_Y_18(X))))) | (~(p1(tptp_fun_Y_18(X)) | p2(tptp_fun_Y_18(X)))) | (~((~p2(tptp_fun_Y_18(X))) | (~p3(tptp_fun_Y_18(X))))) | (~(p2(tptp_fun_Y_18(X)) | p3(tptp_fun_Y_18(X)))) | (~((~p3(tptp_fun_Y_18(X))) | (~p4(tptp_fun_Y_18(X))))) | (~(p3(tptp_fun_Y_18(X)) | p4(tptp_fun_Y_18(X)))) | (~((~p4(tptp_fun_Y_18(X))) | 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(~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))))),
% 11.65/12.01 inference(modus_ponens,[status(thm)],[45, 44])).
% 11.65/12.01 tff(47,plain,
% 11.65/12.01 ((~r1(Y!3, Y!3)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[46, 40])).
% 11.65/12.01 tff(48,plain,
% 11.65/12.01 (~((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3))))))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[47, 12])).
% 11.65/12.01 tff(49,plain,
% 11.65/12.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))) | (p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))),
% 11.65/12.01 inference(tautology,[status(thm)],[])).
% 11.65/12.01 tff(50,plain,
% 11.65/12.01 (p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[49, 48])).
% 11.65/12.01 tff(51,plain,
% 11.65/12.01 ((~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(tautology,[status(thm)],[])).
% 11.65/12.01 tff(52,plain,
% 11.65/12.01 (p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[51, 50])).
% 11.65/12.01 tff(53,plain,
% 11.65/12.01 (p1(tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[52, 1])).
% 11.65/12.01 tff(54,plain,
% 11.65/12.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))) | r1(Y!3, tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(tautology,[status(thm)],[])).
% 11.65/12.01 tff(55,plain,
% 11.65/12.01 (r1(Y!3, tptp_fun_Y_18(Y!3))),
% 11.65/12.01 inference(unit_resolution,[status(thm)],[54, 48])).
% 11.65/12.02 tff(56,plain,
% 11.65/12.02 (((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))) | ![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))),
% 11.65/12.02 inference(tautology,[status(thm)],[])).
% 11.65/12.02 tff(57,plain,
% 11.65/12.02 (![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))),
% 11.65/12.02 inference(unit_resolution,[status(thm)],[56, 48])).
% 11.65/12.02 tff(58,plain,
% 11.65/12.02 (((~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | ((~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))))))) <=> ((~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))))))),
% 11.65/12.02 inference(rewrite,[status(thm)],[])).
% 11.65/12.02 tff(59,plain,
% 11.65/12.02 ((~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | ((~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))))))),
% 11.65/12.02 inference(quant_inst,[status(thm)],[])).
% 11.65/12.02 tff(60,plain,
% 11.65/12.02 ((~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))))))),
% 11.65/12.02 inference(modus_ponens,[status(thm)],[59, 58])).
% 11.65/12.02 tff(61,plain,
% 11.65/12.02 (~((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))))),
% 11.65/12.02 inference(unit_resolution,[status(thm)],[60, 57, 55])).
% 11.65/12.02 tff(62,plain,
% 11.65/12.02 (((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))))) | (p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))),
% 11.65/12.02 inference(tautology,[status(thm)],[])).
% 11.65/12.02 tff(63,plain,
% 11.65/12.02 (p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))),
% 11.65/12.02 inference(unit_resolution,[status(thm)],[62, 61])).
% 11.65/12.02 tff(64,plain,
% 11.65/12.02 ((~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3))))) | p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))),
% 11.65/12.02 inference(tautology,[status(thm)],[])).
% 11.65/12.02 tff(65,plain,
% 11.65/12.02 (p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))),
% 11.65/12.02 inference(unit_resolution,[status(thm)],[64, 63])).
% 11.65/12.02 tff(66,plain,
% 11.65/12.02 ($false),
% 11.65/12.02 inference(unit_resolution,[status(thm)],[65, 53, 1])).
% 11.65/12.02 tff(67,plain,(p2(tptp_fun_Y_18(Y!3))), inference(lemma,lemma(discharge,[]))).
% 11.65/12.02 tff(68,plain,
% 11.65/12.02 (((~![X: $i] : ((~r1(tptp_fun_Y_7(Y!3), X)) | (~((~((~p5(X)) | p4(X))) | (~(p5(X) | (~p4(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_6(Y!3), Y)) | (~((~((~p4(Y)) | p3(Y))) | (~(p4(Y) | (~p3(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(Y!3), X)) | (~((~((~p3(X)) | p2(X))) | (~(p3(X) | (~p2(X)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_15(Y!3), X)) | (~((~((~p13(X)) | p12(X))) | (~(p13(X) | (~p12(X)))))))) | (~![Y: $i] : ((~r1(Y!3, Y)) | (~((~(p1(Y) | (~p2(Y)))) | (~(p2(Y) | (~p1(Y)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_16(Y!3), Y)) | (~((~(p13(Y) | (~p14(Y)))) | (~(p14(Y) | (~p13(Y)))))))) | (~(p13(tptp_fun_Y_18(Y!3)) | p14(tptp_fun_Y_18(Y!3)))) | (~((~p13(tptp_fun_Y_18(Y!3))) | (~p14(tptp_fun_Y_18(Y!3))))) | (~((~p12(tptp_fun_Y_18(Y!3))) | (~p13(tptp_fun_Y_18(Y!3))))) | (~(p12(tptp_fun_Y_18(Y!3)) | p13(tptp_fun_Y_18(Y!3)))) | (~![Y: $i] : ((~r1(tptp_fun_X_14(Y!3), Y)) | (~((~((~p12(Y)) | p11(Y))) | (~(p12(Y) | (~p11(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_13(Y!3), X)) | (~((~((~p11(X)) | p10(X))) | (~(p11(X) | (~p10(X)))))))) | (~(p11(tptp_fun_Y_18(Y!3)) | p12(tptp_fun_Y_18(Y!3)))) | (~((~p11(tptp_fun_Y_18(Y!3))) | (~p12(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_12(Y!3), Y)) | (~((~((~p10(Y)) | p9(Y))) | (~(p10(Y) | (~p9(Y)))))))) | (~![X: $i] : ((~r1(tptp_fun_Y_11(Y!3), X)) | (~((~((~p9(X)) | p8(X))) | (~(p9(X) | (~p8(X)))))))) | (~![Y: $i] : ((~r1(tptp_fun_X_10(Y!3), Y)) | (~((~((~p8(Y)) | p7(Y))) | (~(p8(Y) | (~p7(Y)))))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p11(tptp_fun_Y_18(Y!3)))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p11(tptp_fun_Y_18(Y!3))))) | (~((~p10(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![X: $i] : ((~r1(tptp_fun_Y_9(Y!3), X)) | (~((~((~p7(X)) | p6(X))) | (~(p7(X) | (~p6(X)))))))) | (~(p8(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~((~p8(tptp_fun_Y_18(Y!3))) | (~p9(tptp_fun_Y_18(Y!3))))) | (~![Y: $i] : ((~r1(tptp_fun_X_8(Y!3), Y)) | (~((~((~p6(Y)) | p5(Y))) | (~(p6(Y) | (~p5(Y)))))))) | (~r1(tptp_fun_X_6(Y!3), tptp_fun_Y_7(Y!3))) | (~r1(tptp_fun_Y_5(Y!3), tptp_fun_X_6(Y!3))) | (~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_18(Y!3))) | (~(p4(tptp_fun_Y_18(Y!3)) | p5(tptp_fun_Y_18(Y!3)))) | (~(p7(tptp_fun_Y_18(Y!3)) | p8(tptp_fun_Y_18(Y!3)))) | (~r1(Y!3, tptp_fun_Y_5(Y!3))) | p15(tptp_fun_Y_4(Y!3)) | (~r1(tptp_fun_Y_15(Y!3), tptp_fun_X_16(Y!3))) | (~r1(tptp_fun_X_14(Y!3), tptp_fun_Y_15(Y!3))) | (~((~p4(tptp_fun_Y_18(Y!3))) | (~p5(tptp_fun_Y_18(Y!3))))) | (~((~p7(tptp_fun_Y_18(Y!3))) | (~p8(tptp_fun_Y_18(Y!3))))) | (~r1(Y!3, tptp_fun_Y_4(Y!3))) | (~r1(tptp_fun_Y_13(Y!3), tptp_fun_X_14(Y!3))) | (~r1(tptp_fun_X_12(Y!3), tptp_fun_Y_13(Y!3))) | (~r1(tptp_fun_Y_11(Y!3), tptp_fun_X_12(Y!3))) | (~(p3(tptp_fun_Y_18(Y!3)) | p4(tptp_fun_Y_18(Y!3)))) | (~((~p3(tptp_fun_Y_18(Y!3))) | (~p4(tptp_fun_Y_18(Y!3))))) | (~(p6(tptp_fun_Y_18(Y!3)) | p7(tptp_fun_Y_18(Y!3)))) | (~((~p6(tptp_fun_Y_18(Y!3))) | (~p7(tptp_fun_Y_18(Y!3))))) | (~(p10(tptp_fun_Y_18(Y!3)) | p9(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_10(Y!3), tptp_fun_Y_11(Y!3))) | (~r1(tptp_fun_Y_9(Y!3), tptp_fun_X_10(Y!3))) | (~r1(tptp_fun_X_8(Y!3), tptp_fun_Y_9(Y!3))) | (~r1(tptp_fun_Y_7(Y!3), tptp_fun_X_8(Y!3))) | (~(p2(tptp_fun_Y_18(Y!3)) | p3(tptp_fun_Y_18(Y!3)))) | (~((~p2(tptp_fun_Y_18(Y!3))) | (~p3(tptp_fun_Y_18(Y!3))))) | (~(p1(tptp_fun_Y_18(Y!3)) | p2(tptp_fun_Y_18(Y!3)))) | (~(p5(tptp_fun_Y_18(Y!3)) | p6(tptp_fun_Y_18(Y!3)))) | (~r1(tptp_fun_X_16(Y!3), tptp_fun_Y_17(Y!3))) | (~((~p5(tptp_fun_Y_18(Y!3))) | (~p6(tptp_fun_Y_18(Y!3)))))) | ((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))),
% 11.78/12.07 inference(tautology,[status(thm)],[])).
% 11.78/12.07 tff(69,plain,
% 11.78/12.07 ((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[68, 48])).
% 11.78/12.07 tff(70,plain,
% 11.78/12.07 ((~((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3))))) | (~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(tautology,[status(thm)],[])).
% 11.78/12.07 tff(71,plain,
% 11.78/12.07 ((~p1(tptp_fun_Y_18(Y!3))) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[70, 69])).
% 11.78/12.07 tff(72,plain,
% 11.78/12.07 (~p1(tptp_fun_Y_18(Y!3))),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[71, 67])).
% 11.78/12.07 tff(73,plain,
% 11.78/12.07 (((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | (~(p2(tptp_fun_Y_18(Y!3)) | (~p1(tptp_fun_Y_18(Y!3)))))) | (p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))),
% 11.78/12.07 inference(tautology,[status(thm)],[])).
% 11.78/12.07 tff(74,plain,
% 11.78/12.07 (p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[73, 61])).
% 11.78/12.07 tff(75,plain,
% 11.78/12.07 ((~(p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3))))) | p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(tautology,[status(thm)],[])).
% 11.78/12.07 tff(76,plain,
% 11.78/12.07 (p1(tptp_fun_Y_18(Y!3)) | (~p2(tptp_fun_Y_18(Y!3)))),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[75, 74])).
% 11.78/12.07 tff(77,plain,
% 11.78/12.07 ($false),
% 11.78/12.07 inference(unit_resolution,[status(thm)],[76, 72, 67])).
% 11.78/12.07 % SZS output end Proof
% 11.78/12.11 % E exiting
%------------------------------------------------------------------------------