%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n010.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 03:00:27 PM UTC 2026
% Result : Theorem 1.06s 1.30s
% Output : Proof 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL656+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 18:54:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 1.06/1.30 % SZS status Theorem
% 1.06/1.30 % SZS output start Proof
% 1.06/1.30 tff(p1_type, type, (
% 1.06/1.30 p1: $i > $o)).
% 1.06/1.30 tff(p100_type, type, (
% 1.06/1.30 p100: $i > $o)).
% 1.06/1.30 tff(r1_type, type, (
% 1.06/1.30 r1: ( $i * $i ) > $o)).
% 1.06/1.30 tff(p101_type, type, (
% 1.06/1.30 p101: $i > $o)).
% 1.06/1.30 tff(p2_type, type, (
% 1.06/1.30 p2: $i > $o)).
% 1.06/1.30 tff(p102_type, type, (
% 1.06/1.30 p102: $i > $o)).
% 1.06/1.30 tff(p3_type, type, (
% 1.06/1.30 p3: $i > $o)).
% 1.06/1.30 tff(p103_type, type, (
% 1.06/1.30 p103: $i > $o)).
% 1.06/1.30 tff(p4_type, type, (
% 1.06/1.30 p4: $i > $o)).
% 1.06/1.30 tff(p104_type, type, (
% 1.06/1.30 p104: $i > $o)).
% 1.06/1.30 tff(p5_type, type, (
% 1.06/1.30 p5: $i > $o)).
% 1.06/1.30 tff(p105_type, type, (
% 1.06/1.30 p105: $i > $o)).
% 1.06/1.30 tff(p6_type, type, (
% 1.06/1.30 p6: $i > $o)).
% 1.06/1.30 tff(p106_type, type, (
% 1.06/1.30 p106: $i > $o)).
% 1.06/1.30 tff(p7_type, type, (
% 1.06/1.30 p7: $i > $o)).
% 1.06/1.30 tff(p107_type, type, (
% 1.06/1.30 p107: $i > $o)).
% 1.06/1.30 tff(p8_type, type, (
% 1.06/1.30 p8: $i > $o)).
% 1.06/1.30 tff(p108_type, type, (
% 1.06/1.30 p108: $i > $o)).
% 1.06/1.30 tff(p9_type, type, (
% 1.06/1.30 p9: $i > $o)).
% 1.06/1.30 tff(p109_type, type, (
% 1.06/1.30 p109: $i > $o)).
% 1.06/1.30 tff(p10_type, type, (
% 1.06/1.30 p10: $i > $o)).
% 1.06/1.30 tff(p110_type, type, (
% 1.06/1.30 p110: $i > $o)).
% 1.06/1.30 tff(p11_type, type, (
% 1.06/1.30 p11: $i > $o)).
% 1.06/1.30 tff(p111_type, type, (
% 1.06/1.30 p111: $i > $o)).
% 1.06/1.30 tff(tptp_fun_Y_20_type, type, (
% 1.06/1.30 tptp_fun_Y_20: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_19_type, type, (
% 1.06/1.30 tptp_fun_Y_19: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_18_type, type, (
% 1.06/1.30 tptp_fun_Y_18: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_17_type, type, (
% 1.06/1.30 tptp_fun_Y_17: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_16_type, type, (
% 1.06/1.30 tptp_fun_Y_16: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_15_type, type, (
% 1.06/1.30 tptp_fun_Y_15: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_14_type, type, (
% 1.06/1.30 tptp_fun_Y_14: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_13_type, type, (
% 1.06/1.30 tptp_fun_Y_13: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_12_type, type, (
% 1.06/1.30 tptp_fun_Y_12: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_11_type, type, (
% 1.06/1.30 tptp_fun_Y_11: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_10_type, type, (
% 1.06/1.30 tptp_fun_Y_10: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_9_type, type, (
% 1.06/1.30 tptp_fun_Y_9: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_8_type, type, (
% 1.06/1.30 tptp_fun_Y_8: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_7_type, type, (
% 1.06/1.30 tptp_fun_Y_7: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_6_type, type, (
% 1.06/1.30 tptp_fun_Y_6: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_5_type, type, (
% 1.06/1.30 tptp_fun_Y_5: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_4_type, type, (
% 1.06/1.30 tptp_fun_Y_4: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_3_type, type, (
% 1.06/1.30 tptp_fun_Y_3: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_2_type, type, (
% 1.06/1.30 tptp_fun_Y_2: $i > $i)).
% 1.06/1.30 tff(tptp_fun_Y_1_type, type, (
% 1.06/1.30 tptp_fun_Y_1: $i > $i)).
% 1.06/1.30 tff(tptp_fun_X_0_type, type, (
% 1.06/1.30 tptp_fun_X_0: $i)).
% 1.06/1.30 tff(1,assumption,(![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))), introduced(assumption)).
% 1.06/1.30 tff(2,assumption,((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y)))))))))), introduced(assumption)).
% 1.06/1.31 tff(3,plain,
% 1.06/1.31 (^[X: $i] : refl(r1(X, X) <=> r1(X, X))),
% 1.06/1.31 inference(bind,[status(th)],[])).
% 1.06/1.31 tff(4,plain,
% 1.06/1.31 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.06/1.31 inference(quant_intro,[status(thm)],[3])).
% 1.06/1.31 tff(5,plain,
% 1.06/1.31 (![X: $i] : r1(X, X) <=> ![X: $i] : r1(X, X)),
% 1.06/1.31 inference(rewrite,[status(thm)],[])).
% 1.06/1.31 tff(6,axiom,(![X: $i] : r1(X, X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','reflexivity')).
% 1.06/1.31 tff(7,plain,
% 1.06/1.31 (![X: $i] : r1(X, X)),
% 1.06/1.31 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.06/1.31 tff(8,plain,(
% 1.06/1.31 ![X: $i] : r1(X, X)),
% 1.06/1.31 inference(skolemize,[status(sab)],[7])).
% 1.06/1.31 tff(9,plain,
% 1.06/1.31 (![X: $i] : r1(X, X)),
% 1.06/1.31 inference(modus_ponens,[status(thm)],[8, 4])).
% 1.06/1.31 tff(10,plain,
% 1.06/1.31 ((~![X: $i] : r1(X, X)) | r1(X!0, X!0)),
% 1.06/1.31 inference(quant_inst,[status(thm)],[])).
% 1.06/1.31 tff(11,plain,
% 1.06/1.31 (r1(X!0, X!0)),
% 1.06/1.31 inference(unit_resolution,[status(thm)],[10, 9])).
% 1.06/1.31 tff(12,plain,
% 1.06/1.31 (^[Y: $i] : rewrite(((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))))),
% 1.06/1.31 inference(bind,[status(th)],[])).
% 1.06/1.31 tff(13,plain,
% 1.06/1.31 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))),
% 1.06/1.32 inference(quant_intro,[status(thm)],[12])).
% 1.06/1.32 tff(14,plain,
% 1.06/1.32 (^[Y: $i] : refl(((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))))),
% 1.06/1.32 inference(bind,[status(th)],[])).
% 1.06/1.32 tff(15,plain,
% 1.06/1.32 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.06/1.32 inference(quant_intro,[status(thm)],[14])).
% 1.06/1.32 tff(16,plain,
% 1.06/1.32 (^[Y: $i] : rewrite(((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))))),
% 1.06/1.33 inference(bind,[status(th)],[])).
% 1.06/1.33 tff(17,plain,
% 1.06/1.33 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.06/1.33 inference(quant_intro,[status(thm)],[16])).
% 1.06/1.33 tff(18,plain,
% 1.06/1.33 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.06/1.34 inference(transitivity,[status(thm)],[17, 15])).
% 1.06/1.34 tff(19,plain,
% 1.06/1.34 (^[Y: $i] : rewrite(((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) <=> ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))))))))))))))))),
% 1.06/1.34 inference(bind,[status(th)],[])).
% 1.06/1.34 tff(20,plain,
% 1.06/1.34 (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.06/1.34 inference(quant_intro,[status(thm)],[19])).
% 1.06/1.34 tff(21,plain,
% 1.06/1.34 ((![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))),
% 1.06/1.35 inference(rewrite,[status(thm)],[])).
% 1.06/1.35 tff(22,plain,
% 1.06/1.35 ((![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & (((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X))))))) | (~((~p109(X)) & p108(X)))) & (((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X))))))) | (~((~p108(X)) & p107(X)))) & (((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X))))))) | (~((~p107(X)) & p106(X)))) & (((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X))))))) | (~((~p106(X)) & p105(X)))) & (((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X))))))) | (~((~p105(X)) & p104(X)))) & (((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X))))))) | (~((~p104(X)) & p103(X)))) & (((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X))))))) | (~((~p103(X)) & p102(X)))) & (((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X))))))) | (~((~p102(X)) & p101(X)))) & (((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X))))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0)) <=> (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))),
% 1.06/1.35 inference(rewrite,[status(thm)],[])).
% 1.06/1.35 tff(23,plain,
% 1.06/1.35 ((![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & (((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X))))))) | (~((~p109(X)) & p108(X)))) & (((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X))))))) | (~((~p108(X)) & p107(X)))) & (((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X))))))) | (~((~p107(X)) & p106(X)))) & (((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X))))))) | (~((~p106(X)) & p105(X)))) & (((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X))))))) | (~((~p105(X)) & p104(X)))) & (((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X))))))) | (~((~p104(X)) & p103(X)))) & (((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X))))))) | (~((~p103(X)) & p102(X)))) & (((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X))))))) | (~((~p102(X)) & p101(X)))) & (((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X))))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0)))),
% 1.06/1.36 inference(monotonicity,[status(thm)],[22])).
% 1.06/1.36 tff(24,plain,
% 1.06/1.36 ((![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & (((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X))))))) | (~((~p109(X)) & p108(X)))) & (((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X))))))) | (~((~p108(X)) & p107(X)))) & (((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X))))))) | (~((~p107(X)) & p106(X)))) & (((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X))))))) | (~((~p106(X)) & p105(X)))) & (((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X))))))) | (~((~p105(X)) & p104(X)))) & (((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X))))))) | (~((~p104(X)) & p103(X)))) & (((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X))))))) | (~((~p103(X)) & p102(X)))) & (((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X))))))) | (~((~p102(X)) & p101(X)))) & (((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X))))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))) <=> (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0))),
% 1.06/1.36 inference(transitivity,[status(thm)],[23, 21])).
% 1.06/1.36 tff(25,plain,
% 1.06/1.36 (?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X))))) <=> ?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(26,plain,
% 1.06/1.37 ((~(~?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X))))))) <=> ?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(27,plain,
% 1.06/1.37 ((~?[X: $i] : (~((~![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)) | p5(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)) | (~(((~p11(Y)) & (~p111(Y))) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p11(Y) & (~p111(Y))) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p10(Y)) & (~p110(Y))) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p110(Y))) & p109(Y)))))) | (~((~p109(X)) & p108(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p9(Y)) & (~p109(Y))) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p9(Y) & (~p109(Y))) & p108(Y)))))) | (~((~p108(X)) & p107(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p8(Y)) & (~p108(Y))) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p108(Y))) & p107(Y)))))) | (~((~p107(X)) & p106(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p7(Y)) & (~p107(Y))) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p7(Y) & (~p107(Y))) & p106(Y)))))) | (~((~p106(X)) & p105(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p6(Y)) & (~p106(Y))) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p106(Y))) & p105(Y)))))) | (~((~p105(X)) & p104(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p5(Y)) & (~p105(Y))) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p5(Y) & (~p105(Y))) & p104(Y)))))) | (~((~p104(X)) & p103(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p4(Y)) & (~p104(Y))) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p104(Y))) & p103(Y)))))) | (~((~p103(X)) & p102(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p3(Y)) & (~p103(Y))) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p3(Y) & (~p103(Y))) & p102(Y)))))) | (~((~p102(X)) & p101(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p2(Y)) & (~p102(Y))) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p102(Y))) & p101(Y)))))) | (~((~p101(X)) & p100(X))))) & (((![Y: $i] : (((~r1(X, Y)) | (~p11(Y))) | (~p110(Y))) | p11(X)) & (![Y: $i] : (((~r1(X, Y)) | p11(Y)) | (~p110(Y))) | (~p11(X)))) | (~p110(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p10(Y))) | (~p109(Y))) | p10(X)) & (![Y: $i] : (((~r1(X, Y)) | p10(Y)) | (~p109(Y))) | (~p10(X)))) | (~p109(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p9(Y))) | (~p108(Y))) | p9(X)) & (![Y: $i] : (((~r1(X, Y)) | p9(Y)) | (~p108(Y))) | (~p9(X)))) | (~p108(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p8(Y))) | (~p107(Y))) | p8(X)) & (![Y: $i] : (((~r1(X, Y)) | p8(Y)) | (~p107(Y))) | (~p8(X)))) | (~p107(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p7(Y))) | (~p106(Y))) | p7(X)) & (![Y: $i] : (((~r1(X, Y)) | p7(Y)) | (~p106(Y))) | (~p7(X)))) | (~p106(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p6(Y))) | (~p105(Y))) | p6(X)) & (![Y: $i] : (((~r1(X, Y)) | p6(Y)) | (~p105(Y))) | (~p6(X)))) | (~p105(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p5(Y))) | (~p104(Y))) | p5(X)) & (![Y: $i] : (((~r1(X, Y)) | p5(Y)) | (~p104(Y))) | (~p5(X)))) | (~p104(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p4(Y))) | (~p103(Y))) | p4(X)) & (![Y: $i] : (((~r1(X, Y)) | p4(Y)) | (~p103(Y))) | (~p4(X)))) | (~p103(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p3(Y))) | (~p102(Y))) | p3(X)) & (![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~p102(Y))) | (~p3(X)))) | (~p102(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p2(Y))) | (~p101(Y))) | p2(X)) & (![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~p101(Y))) | (~p2(X)))) | (~p101(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p1(Y))) | (~p100(Y))) | p1(X)) & (![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~p100(Y))) | (~p1(X)))) | (~p100(X)))) & (p110(X) | (~p111(X)))) & (p109(X) | (~p110(X)))) & (p108(X) | (~p109(X)))) & (p107(X) | (~p108(X)))) & (p106(X) | (~p107(X)))) & (p105(X) | (~p106(X)))) & (p104(X) | (~p105(X)))) & (p103(X) | (~p104(X)))) & (p102(X) | (~p103(X)))) & (p101(X) | (~p102(X)))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X))) & p100(X)))))) <=> (~?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X))))))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(28,plain,
% 1.06/1.38 ((~(~?[X: $i] : (~((~![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)) | p5(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)) | (~(((~p11(Y)) & (~p111(Y))) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p11(Y) & (~p111(Y))) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p10(Y)) & (~p110(Y))) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p110(Y))) & p109(Y)))))) | (~((~p109(X)) & p108(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p9(Y)) & (~p109(Y))) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p9(Y) & (~p109(Y))) & p108(Y)))))) | (~((~p108(X)) & p107(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p8(Y)) & (~p108(Y))) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p108(Y))) & p107(Y)))))) | (~((~p107(X)) & p106(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p7(Y)) & (~p107(Y))) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p7(Y) & (~p107(Y))) & p106(Y)))))) | (~((~p106(X)) & p105(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p6(Y)) & (~p106(Y))) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p106(Y))) & p105(Y)))))) | (~((~p105(X)) & p104(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p5(Y)) & (~p105(Y))) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p5(Y) & (~p105(Y))) & p104(Y)))))) | (~((~p104(X)) & p103(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p4(Y)) & (~p104(Y))) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p104(Y))) & p103(Y)))))) | (~((~p103(X)) & p102(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p3(Y)) & (~p103(Y))) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p3(Y) & (~p103(Y))) & p102(Y)))))) | (~((~p102(X)) & p101(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p2(Y)) & (~p102(Y))) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p102(Y))) & p101(Y)))))) | (~((~p101(X)) & p100(X))))) & (((![Y: $i] : (((~r1(X, Y)) | (~p11(Y))) | (~p110(Y))) | p11(X)) & (![Y: $i] : (((~r1(X, Y)) | p11(Y)) | (~p110(Y))) | (~p11(X)))) | (~p110(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p10(Y))) | (~p109(Y))) | p10(X)) & (![Y: $i] : (((~r1(X, Y)) | p10(Y)) | (~p109(Y))) | (~p10(X)))) | (~p109(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p9(Y))) | (~p108(Y))) | p9(X)) & (![Y: $i] : (((~r1(X, Y)) | p9(Y)) | (~p108(Y))) | (~p9(X)))) | (~p108(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p8(Y))) | (~p107(Y))) | p8(X)) & (![Y: $i] : (((~r1(X, Y)) | p8(Y)) | (~p107(Y))) | (~p8(X)))) | (~p107(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p7(Y))) | (~p106(Y))) | p7(X)) & (![Y: $i] : (((~r1(X, Y)) | p7(Y)) | (~p106(Y))) | (~p7(X)))) | (~p106(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p6(Y))) | (~p105(Y))) | p6(X)) & (![Y: $i] : (((~r1(X, Y)) | p6(Y)) | (~p105(Y))) | (~p6(X)))) | (~p105(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p5(Y))) | (~p104(Y))) | p5(X)) & (![Y: $i] : (((~r1(X, Y)) | p5(Y)) | (~p104(Y))) | (~p5(X)))) | (~p104(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p4(Y))) | (~p103(Y))) | p4(X)) & (![Y: $i] : (((~r1(X, Y)) | p4(Y)) | (~p103(Y))) | (~p4(X)))) | (~p103(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p3(Y))) | (~p102(Y))) | p3(X)) & (![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~p102(Y))) | (~p3(X)))) | (~p102(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p2(Y))) | (~p101(Y))) | p2(X)) & (![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~p101(Y))) | (~p2(X)))) | (~p101(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p1(Y))) | (~p100(Y))) | p1(X)) & (![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~p100(Y))) | (~p1(X)))) | (~p100(X)))) & (p110(X) | (~p111(X)))) & (p109(X) | (~p110(X)))) & (p108(X) | (~p109(X)))) & (p107(X) | (~p108(X)))) & (p106(X) | (~p107(X)))) & (p105(X) | (~p106(X)))) & (p104(X) | (~p105(X)))) & (p103(X) | (~p104(X)))) & (p102(X) | (~p103(X)))) & (p101(X) | (~p102(X)))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X))) & p100(X))))))) <=> (~(~?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))))),
% 1.06/1.38 inference(monotonicity,[status(thm)],[27])).
% 1.06/1.38 tff(29,plain,
% 1.06/1.38 ((~(~?[X: $i] : (~((~![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)) | p5(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)) | (~(((~p11(Y)) & (~p111(Y))) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p11(Y) & (~p111(Y))) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p10(Y)) & (~p110(Y))) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p110(Y))) & p109(Y)))))) | (~((~p109(X)) & p108(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p9(Y)) & (~p109(Y))) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p9(Y) & (~p109(Y))) & p108(Y)))))) | (~((~p108(X)) & p107(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p8(Y)) & (~p108(Y))) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p108(Y))) & p107(Y)))))) | (~((~p107(X)) & p106(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p7(Y)) & (~p107(Y))) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p7(Y) & (~p107(Y))) & p106(Y)))))) | (~((~p106(X)) & p105(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p6(Y)) & (~p106(Y))) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p106(Y))) & p105(Y)))))) | (~((~p105(X)) & p104(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p5(Y)) & (~p105(Y))) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p5(Y) & (~p105(Y))) & p104(Y)))))) | (~((~p104(X)) & p103(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p4(Y)) & (~p104(Y))) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p104(Y))) & p103(Y)))))) | (~((~p103(X)) & p102(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p3(Y)) & (~p103(Y))) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p3(Y) & (~p103(Y))) & p102(Y)))))) | (~((~p102(X)) & p101(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p2(Y)) & (~p102(Y))) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p102(Y))) & p101(Y)))))) | (~((~p101(X)) & p100(X))))) & (((![Y: $i] : (((~r1(X, Y)) | (~p11(Y))) | (~p110(Y))) | p11(X)) & (![Y: $i] : (((~r1(X, Y)) | p11(Y)) | (~p110(Y))) | (~p11(X)))) | (~p110(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p10(Y))) | (~p109(Y))) | p10(X)) & (![Y: $i] : (((~r1(X, Y)) | p10(Y)) | (~p109(Y))) | (~p10(X)))) | (~p109(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p9(Y))) | (~p108(Y))) | p9(X)) & (![Y: $i] : (((~r1(X, Y)) | p9(Y)) | (~p108(Y))) | (~p9(X)))) | (~p108(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p8(Y))) | (~p107(Y))) | p8(X)) & (![Y: $i] : (((~r1(X, Y)) | p8(Y)) | (~p107(Y))) | (~p8(X)))) | (~p107(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p7(Y))) | (~p106(Y))) | p7(X)) & (![Y: $i] : (((~r1(X, Y)) | p7(Y)) | (~p106(Y))) | (~p7(X)))) | (~p106(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p6(Y))) | (~p105(Y))) | p6(X)) & (![Y: $i] : (((~r1(X, Y)) | p6(Y)) | (~p105(Y))) | (~p6(X)))) | (~p105(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p5(Y))) | (~p104(Y))) | p5(X)) & (![Y: $i] : (((~r1(X, Y)) | p5(Y)) | (~p104(Y))) | (~p5(X)))) | (~p104(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p4(Y))) | (~p103(Y))) | p4(X)) & (![Y: $i] : (((~r1(X, Y)) | p4(Y)) | (~p103(Y))) | (~p4(X)))) | (~p103(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p3(Y))) | (~p102(Y))) | p3(X)) & (![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~p102(Y))) | (~p3(X)))) | (~p102(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p2(Y))) | (~p101(Y))) | p2(X)) & (![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~p101(Y))) | (~p2(X)))) | (~p101(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p1(Y))) | (~p100(Y))) | p1(X)) & (![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~p100(Y))) | (~p1(X)))) | (~p100(X)))) & (p110(X) | (~p111(X)))) & (p109(X) | (~p110(X)))) & (p108(X) | (~p109(X)))) & (p107(X) | (~p108(X)))) & (p106(X) | (~p107(X)))) & (p105(X) | (~p106(X)))) & (p104(X) | (~p105(X)))) & (p103(X) | (~p104(X)))) & (p102(X) | (~p103(X)))) & (p101(X) | (~p102(X)))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X))) & p100(X))))))) <=> ?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))),
% 1.06/1.39 inference(transitivity,[status(thm)],[28, 26])).
% 1.06/1.39 tff(30,axiom,(~(~?[X: $i] : (~((~![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)) | p5(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)) | (~(((~p11(Y)) & (~p111(Y))) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p11(Y) & (~p111(Y))) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p10(Y)) & (~p110(Y))) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p10(Y) & (~p110(Y))) & p109(Y)))))) | (~((~p109(X)) & p108(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p9(Y)) & (~p109(Y))) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p9(Y) & (~p109(Y))) & p108(Y)))))) | (~((~p108(X)) & p107(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p8(Y)) & (~p108(Y))) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p8(Y) & (~p108(Y))) & p107(Y)))))) | (~((~p107(X)) & p106(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p7(Y)) & (~p107(Y))) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p7(Y) & (~p107(Y))) & p106(Y)))))) | (~((~p106(X)) & p105(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p6(Y)) & (~p106(Y))) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p6(Y) & (~p106(Y))) & p105(Y)))))) | (~((~p105(X)) & p104(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p5(Y)) & (~p105(Y))) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p5(Y) & (~p105(Y))) & p104(Y)))))) | (~((~p104(X)) & p103(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p4(Y)) & (~p104(Y))) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p4(Y) & (~p104(Y))) & p103(Y)))))) | (~((~p103(X)) & p102(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p3(Y)) & (~p103(Y))) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p3(Y) & (~p103(Y))) & p102(Y)))))) | (~((~p102(X)) & p101(X))))) & (((~![Y: $i] : ((~r1(X, Y)) | (~(((~p2(Y)) & (~p102(Y))) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~((p2(Y) & (~p102(Y))) & p101(Y)))))) | (~((~p101(X)) & p100(X))))) & (((![Y: $i] : (((~r1(X, Y)) | (~p11(Y))) | (~p110(Y))) | p11(X)) & (![Y: $i] : (((~r1(X, Y)) | p11(Y)) | (~p110(Y))) | (~p11(X)))) | (~p110(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p10(Y))) | (~p109(Y))) | p10(X)) & (![Y: $i] : (((~r1(X, Y)) | p10(Y)) | (~p109(Y))) | (~p10(X)))) | (~p109(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p9(Y))) | (~p108(Y))) | p9(X)) & (![Y: $i] : (((~r1(X, Y)) | p9(Y)) | (~p108(Y))) | (~p9(X)))) | (~p108(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p8(Y))) | (~p107(Y))) | p8(X)) & (![Y: $i] : (((~r1(X, Y)) | p8(Y)) | (~p107(Y))) | (~p8(X)))) | (~p107(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p7(Y))) | (~p106(Y))) | p7(X)) & (![Y: $i] : (((~r1(X, Y)) | p7(Y)) | (~p106(Y))) | (~p7(X)))) | (~p106(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p6(Y))) | (~p105(Y))) | p6(X)) & (![Y: $i] : (((~r1(X, Y)) | p6(Y)) | (~p105(Y))) | (~p6(X)))) | (~p105(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p5(Y))) | (~p104(Y))) | p5(X)) & (![Y: $i] : (((~r1(X, Y)) | p5(Y)) | (~p104(Y))) | (~p5(X)))) | (~p104(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p4(Y))) | (~p103(Y))) | p4(X)) & (![Y: $i] : (((~r1(X, Y)) | p4(Y)) | (~p103(Y))) | (~p4(X)))) | (~p103(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p3(Y))) | (~p102(Y))) | p3(X)) & (![Y: $i] : (((~r1(X, Y)) | p3(Y)) | (~p102(Y))) | (~p3(X)))) | (~p102(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p2(Y))) | (~p101(Y))) | p2(X)) & (![Y: $i] : (((~r1(X, Y)) | p2(Y)) | (~p101(Y))) | (~p2(X)))) | (~p101(X)))) & (((![Y: $i] : (((~r1(X, Y)) | (~p1(Y))) | (~p100(Y))) | p1(X)) & (![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~p100(Y))) | (~p1(X)))) | (~p100(X)))) & (p110(X) | (~p111(X)))) & (p109(X) | (~p110(X)))) & (p108(X) | (~p109(X)))) & (p107(X) | (~p108(X)))) & (p106(X) | (~p107(X)))) & (p105(X) | (~p106(X)))) & (p104(X) | (~p105(X)))) & (p103(X) | (~p104(X)))) & (p102(X) | (~p103(X)))) & (p101(X) | (~p102(X)))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X))) & p100(X))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 1.06/1.39 tff(31,plain,
% 1.06/1.39 (?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 1.06/1.39 tff(32,plain,
% 1.06/1.39 (?[X: $i] : (~((~![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] : (p5(X) | (~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)) | (~((~p11(Y)) & (~p111(Y)) & p110(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p11(Y) & (~p111(Y)) & p110(Y)))))) | (~((~p110(X)) & p109(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p10(Y)) & (~p110(Y)) & p109(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p10(Y) & (~p110(Y)) & p109(Y)))))) | (~((~p109(X)) & p108(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p9(Y)) & (~p109(Y)) & p108(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p9(Y) & (~p109(Y)) & p108(Y)))))) | (~((~p108(X)) & p107(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p8(Y)) & (~p108(Y)) & p107(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p8(Y) & (~p108(Y)) & p107(Y)))))) | (~((~p107(X)) & p106(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p7(Y)) & (~p107(Y)) & p106(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p7(Y) & (~p107(Y)) & p106(Y)))))) | (~((~p106(X)) & p105(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y)))))) | (~((~p105(X)) & p104(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p5(Y)) & (~p105(Y)) & p104(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p5(Y) & (~p105(Y)) & p104(Y)))))) | (~((~p104(X)) & p103(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p4(Y)) & (~p104(Y)) & p103(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p4(Y) & (~p104(Y)) & p103(Y)))))) | (~((~p103(X)) & p102(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p3(Y)) & (~p103(Y)) & p102(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p3(Y) & (~p103(Y)) & p102(Y)))))) | (~((~p102(X)) & p101(X)))) & (((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(Y)))))) | (~((~p101(X)) & p100(X)))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X)) & p100(X)))))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[31, 25])).
% 1.06/1.39 tff(33,plain,
% 1.06/1.39 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) & ![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X)))))))))))))) & (~p101(X!0)) & p100(X!0)),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[32, 24])).
% 1.06/1.39 tff(34,plain,
% 1.06/1.39 (![Y: $i] : ((~r1(X!0, 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)) | ((((~((~r1(X, tptp_fun_Y_1(X))) | (~((~p11(tptp_fun_Y_1(X))) & (~p111(tptp_fun_Y_1(X))) & p110(tptp_fun_Y_1(X)))))) & (~((~r1(X, tptp_fun_Y_2(X))) | (~(p11(tptp_fun_Y_2(X)) & (~p111(tptp_fun_Y_2(X))) & p110(tptp_fun_Y_2(X))))))) | (~((~p110(X)) & p109(X)))) & ((~((~p109(X)) & p108(X))) | ((~((~r1(X, tptp_fun_Y_3(X))) | (~((~p10(tptp_fun_Y_3(X))) & (~p110(tptp_fun_Y_3(X))) & p109(tptp_fun_Y_3(X)))))) & (~((~r1(X, tptp_fun_Y_4(X))) | (~(p10(tptp_fun_Y_4(X)) & (~p110(tptp_fun_Y_4(X))) & p109(tptp_fun_Y_4(X)))))))) & ((~((~p108(X)) & p107(X))) | ((~((~r1(X, tptp_fun_Y_5(X))) | (~((~p9(tptp_fun_Y_5(X))) & (~p109(tptp_fun_Y_5(X))) & p108(tptp_fun_Y_5(X)))))) & (~((~r1(X, tptp_fun_Y_6(X))) | (~(p9(tptp_fun_Y_6(X)) & (~p109(tptp_fun_Y_6(X))) & p108(tptp_fun_Y_6(X)))))))) & ((~((~p107(X)) & p106(X))) | ((~((~r1(X, tptp_fun_Y_7(X))) | (~((~p8(tptp_fun_Y_7(X))) & (~p108(tptp_fun_Y_7(X))) & p107(tptp_fun_Y_7(X)))))) & (~((~r1(X, tptp_fun_Y_8(X))) | (~(p8(tptp_fun_Y_8(X)) & (~p108(tptp_fun_Y_8(X))) & p107(tptp_fun_Y_8(X)))))))) & ((~((~p106(X)) & p105(X))) | ((~((~r1(X, tptp_fun_Y_9(X))) | (~((~p7(tptp_fun_Y_9(X))) & (~p107(tptp_fun_Y_9(X))) & p106(tptp_fun_Y_9(X)))))) & (~((~r1(X, tptp_fun_Y_10(X))) | (~(p7(tptp_fun_Y_10(X)) & (~p107(tptp_fun_Y_10(X))) & p106(tptp_fun_Y_10(X)))))))) & ((~((~p105(X)) & p104(X))) | ((~((~r1(X, tptp_fun_Y_11(X))) | (~((~p6(tptp_fun_Y_11(X))) & (~p106(tptp_fun_Y_11(X))) & p105(tptp_fun_Y_11(X)))))) & (~((~r1(X, tptp_fun_Y_12(X))) | (~(p6(tptp_fun_Y_12(X)) & (~p106(tptp_fun_Y_12(X))) & p105(tptp_fun_Y_12(X)))))))) & ((~((~p104(X)) & p103(X))) | ((~((~r1(X, tptp_fun_Y_13(X))) | (~((~p5(tptp_fun_Y_13(X))) & (~p105(tptp_fun_Y_13(X))) & p104(tptp_fun_Y_13(X)))))) & (~((~r1(X, tptp_fun_Y_14(X))) | (~(p5(tptp_fun_Y_14(X)) & (~p105(tptp_fun_Y_14(X))) & p104(tptp_fun_Y_14(X)))))))) & ((~((~p103(X)) & p102(X))) | ((~((~r1(X, tptp_fun_Y_15(X))) | (~((~p4(tptp_fun_Y_15(X))) & (~p104(tptp_fun_Y_15(X))) & p103(tptp_fun_Y_15(X)))))) & (~((~r1(X, tptp_fun_Y_16(X))) | (~(p4(tptp_fun_Y_16(X)) & (~p104(tptp_fun_Y_16(X))) & p103(tptp_fun_Y_16(X)))))))) & ((~((~p102(X)) & p101(X))) | ((~((~r1(X, tptp_fun_Y_17(X))) | (~((~p3(tptp_fun_Y_17(X))) & (~p103(tptp_fun_Y_17(X))) & p102(tptp_fun_Y_17(X)))))) & (~((~r1(X, tptp_fun_Y_18(X))) | (~(p3(tptp_fun_Y_18(X)) & (~p103(tptp_fun_Y_18(X))) & p102(tptp_fun_Y_18(X)))))))) & ((~((~p101(X)) & p100(X))) | ((~((~r1(X, tptp_fun_Y_19(X))) | (~((~p2(tptp_fun_Y_19(X))) & (~p102(tptp_fun_Y_19(X))) & p101(tptp_fun_Y_19(X)))))) & (~((~r1(X, tptp_fun_Y_20(X))) | (~(p2(tptp_fun_Y_20(X)) & (~p102(tptp_fun_Y_20(X))) & p101(tptp_fun_Y_20(X)))))))) & ((~p110(X)) | ((p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y)))) & ((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y)))))) & ((~p109(X)) | ((p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y)))) & ((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y)))))) & ((~p108(X)) | ((p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y)))) & ((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y)))))) & ((~p107(X)) | ((p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y)))) & ((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y)))))) & ((~p106(X)) | ((p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y)))) & ((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y)))))) & ((~p105(X)) | ((p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y)))) & ((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y)))))) & ((~p104(X)) | ((p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y)))) & ((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y)))))) & ((~p103(X)) | ((p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y)))) & ((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y)))))) & ((~p102(X)) | ((p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y)))) & ((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y)))))) & ((~p101(X)) | ((p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y)))) & ((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y)))))) & ((~p100(X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y)))) & ((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))) & (p110(X) | (~p111(X))) & (p109(X) | (~p110(X))) & (p108(X) | (~p109(X))) & (p107(X) | (~p108(X))) & (p106(X) | (~p107(X))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X))))))))))))))),
% 1.16/1.40 inference(and_elim,[status(thm)],[33])).
% 1.16/1.40 tff(35,plain,
% 1.16/1.40 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[34, 20])).
% 1.16/1.40 tff(36,plain,
% 1.16/1.40 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X))))))))))))))))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[35, 18])).
% 1.16/1.40 tff(37,plain,
% 1.16/1.40 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[36, 13])).
% 1.16/1.40 tff(38,plain,
% 1.16/1.40 (((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | 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(~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(39,plain,
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(~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | 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(~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | 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: ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))),
% 1.16/1.41 inference(quant_inst,[status(thm)],[])).
% 1.16/1.41 tff(40,plain,
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(~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | 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![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[39, 38])).
% 1.16/1.42 tff(41,plain,
% 1.16/1.42 (![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[40, 37, 11])).
% 1.16/1.42 tff(42,plain,
% 1.16/1.42 (((~![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | 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% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(43,plain,
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(~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))),
% 1.16/1.43 inference(quant_inst,[status(thm)],[])).
% 1.16/1.43 tff(44,plain,
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(~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | 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tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[43, 42])).
% 1.16/1.43 tff(45,plain,
% 1.16/1.43 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[44, 11, 41])).
% 1.16/1.44 tff(46,plain,
% 1.16/1.44 (((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : 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(~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(47,plain,
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(~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | 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Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))),
% 1.16/1.45 inference(quant_inst,[status(thm)],[])).
% 1.16/1.45 tff(48,plain,
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| p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[47, 46])).
% 1.16/1.45 tff(49,plain,
% 1.16/1.45 (![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[48, 11, 45])).
% 1.16/1.45 tff(50,plain,
% 1.16/1.45 (((~![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | 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(~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | 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(~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(51,plain,
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(~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))),
% 1.16/1.46 inference(quant_inst,[status(thm)],[])).
% 1.16/1.46 tff(52,plain,
% 1.16/1.46 ((~![X: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | 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(~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | 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(~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.16/1.47 tff(53,plain,
% 1.16/1.47 (![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[52, 11, 49])).
% 1.16/1.47 tff(54,plain,
% 1.16/1.47 (((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, 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(~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) 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(~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | 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: ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(55,plain,
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| (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))),
% 1.16/1.48 inference(quant_inst,[status(thm)],[])).
% 1.16/1.48 tff(56,plain,
% 1.16/1.48 ((~![Y: $i] : ((~r1(X!0, 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)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))),
% 1.16/1.49 inference(modus_ponens,[status(thm)],[55, 54])).
% 1.16/1.49 tff(57,plain,
% 1.16/1.49 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[56, 11, 53])).
% 1.16/1.49 tff(58,plain,
% 1.16/1.49 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | 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(~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | 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(~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(59,plain,
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(~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(60,plain,
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p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | 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((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[59, 58])).
% 1.26/1.50 tff(61,plain,
% 1.26/1.50 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[60, 11, 57])).
% 1.26/1.50 tff(62,plain,
% 1.26/1.50 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | 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| ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(63,plain,
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((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | 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p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, 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![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))),
% 1.26/1.51 inference(quant_inst,[status(thm)],[])).
% 1.26/1.51 tff(64,plain,
% 1.26/1.51 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | 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((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | 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p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[63, 62])).
% 1.26/1.52 tff(65,plain,
% 1.26/1.52 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))),
% 1.26/1.52 inference(unit_resolution,[status(thm)],[64, 11, 61])).
% 1.26/1.52 tff(66,plain,
% 1.26/1.52 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | 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% 1.26/1.53 inference(rewrite,[status(thm)],[])).
% 1.26/1.53 tff(67,plain,
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% 1.26/1.53 inference(quant_inst,[status(thm)],[])).
% 1.26/1.53 tff(68,plain,
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(~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))),
% 1.26/1.53 inference(modus_ponens,[status(thm)],[67, 66])).
% 1.26/1.53 tff(69,plain,
% 1.26/1.53 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))),
% 1.26/1.54 inference(unit_resolution,[status(thm)],[68, 11, 65])).
% 1.26/1.54 tff(70,plain,
% 1.26/1.54 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | 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% 1.26/1.54 inference(rewrite,[status(thm)],[])).
% 1.26/1.54 tff(71,plain,
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p1(Y))))))))))))),
% 1.26/1.55 inference(quant_inst,[status(thm)],[])).
% 1.26/1.55 tff(72,plain,
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$i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | 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((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.26/1.55 inference(modus_ponens,[status(thm)],[71, 70])).
% 1.26/1.55 tff(73,plain,
% 1.26/1.55 (![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.26/1.55 inference(unit_resolution,[status(thm)],[72, 11, 69])).
% 1.26/1.55 tff(74,plain,
% 1.26/1.55 (((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p102(X!0) | (~p103(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p110(X!0) | (~p111(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p108(X!0) | (~p109(X!0)))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p107(X!0) | (~p108(X!0)))) | (~(p110(X!0) | (~p109(X!0)) | (~((~p110(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p11(tptp_fun_Y_2(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))) | (~r1(X!0, tptp_fun_Y_2(X!0))) | p111(tptp_fun_Y_1(X!0)) | p111(tptp_fun_Y_2(X!0)))))) | (~(p109(X!0) | (~p108(X!0)) | (~((~p10(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | (~p109(tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p10(tptp_fun_Y_3(X!0)))))) | (~(p108(X!0) | (~p107(X!0)) | (~((~p108(tptp_fun_Y_6(X!0))) | (~p9(tptp_fun_Y_6(X!0))) | (~p108(tptp_fun_Y_5(X!0))) | p109(tptp_fun_Y_6(X!0)) | p9(tptp_fun_Y_5(X!0)) | p109(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))) | (~r1(X!0, tptp_fun_Y_5(X!0))))))) | (~(p107(X!0) | (~p106(X!0)) | (~((~p107(tptp_fun_Y_8(X!0))) | (~p8(tptp_fun_Y_8(X!0))) | (~p107(tptp_fun_Y_7(X!0))) | p108(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p108(tptp_fun_Y_7(X!0)) | p8(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))))) | (~(p106(X!0) | (~p105(X!0)) | (~((~p106(tptp_fun_Y_10(X!0))) | (~p7(tptp_fun_Y_10(X!0))) | (~p106(tptp_fun_Y_9(X!0))) | p107(tptp_fun_Y_9(X!0)) | p107(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p7(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~p105(tptp_fun_Y_12(X!0))) | (~p6(tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_11(X!0))) | (~r1(X!0, tptp_fun_Y_12(X!0))) | p6(tptp_fun_Y_11(X!0)) | (~r1(X!0, tptp_fun_Y_11(X!0))) | p106(tptp_fun_Y_12(X!0)) | p106(tptp_fun_Y_11(X!0)))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p104(tptp_fun_Y_14(X!0))) | (~p5(tptp_fun_Y_14(X!0))) | (~p104(tptp_fun_Y_13(X!0))) | (~r1(X!0, tptp_fun_Y_13(X!0))) | p105(tptp_fun_Y_14(X!0)) | (~r1(X!0, tptp_fun_Y_14(X!0))) | p105(tptp_fun_Y_13(X!0)) | p5(tptp_fun_Y_13(X!0)))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_Y_16(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_15(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_15(X!0)) | p4(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_15(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~p102(tptp_fun_Y_18(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_17(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_17(X!0)) | p3(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_17(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(X!0, Y))))) | (~((~p11(X!0)) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(X!0, Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(X!0, Y))))) | (~((~p10(X!0)) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(X!0, Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(X!0, Y))))) | (~((~p9(X!0)) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(X!0, Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(X!0, Y))))) | (~((~p8(X!0)) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(X!0, Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(X!0, Y))))) | (~((~p7(X!0)) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(X!0, Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(X!0, Y))))) | (~((~p6(X!0)) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(X!0, Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(X!0, Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(X!0, Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | 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(~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | 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Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y))))))))))))),
% 1.26/1.56 inference(rewrite,[status(thm)],[])).
% 1.26/1.56 tff(75,plain,
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% 1.26/1.57 inference(rewrite,[status(thm)],[])).
% 1.26/1.57 tff(76,plain,
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| (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p110(X!0) | (~p109(X!0)) | (~(p111(tptp_fun_Y_2(X!0)) | p111(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))) | (~r1(X!0, tptp_fun_Y_1(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~p11(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p110(tptp_fun_Y_2(X!0))))))) | (~(p109(X!0) | (~p108(X!0)) | (~(p10(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~p109(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | (~p10(tptp_fun_Y_4(X!0))))))) | (~(p108(X!0) | (~p107(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | (~r1(X!0, tptp_fun_Y_6(X!0))) | p109(tptp_fun_Y_5(X!0)) | p9(tptp_fun_Y_5(X!0)) | p109(tptp_fun_Y_6(X!0)) | (~p108(tptp_fun_Y_5(X!0))) | (~p9(tptp_fun_Y_6(X!0))) | (~p108(tptp_fun_Y_6(X!0))))))) | (~(p107(X!0) | (~p106(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p8(tptp_fun_Y_7(X!0)) | p108(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p108(tptp_fun_Y_8(X!0)) | (~p107(tptp_fun_Y_7(X!0))) | (~p8(tptp_fun_Y_8(X!0))) | (~p107(tptp_fun_Y_8(X!0))))))) | (~(p106(X!0) | (~p105(X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p7(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p107(tptp_fun_Y_10(X!0)) | p107(tptp_fun_Y_9(X!0)) | (~p106(tptp_fun_Y_9(X!0))) | (~p7(tptp_fun_Y_10(X!0))) | (~p106(tptp_fun_Y_10(X!0))))))) | (~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_Y_11(X!0)) | p106(tptp_fun_Y_12(X!0)) | (~r1(X!0, tptp_fun_Y_11(X!0))) | p6(tptp_fun_Y_11(X!0)) | (~r1(X!0, tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_11(X!0))) | (~p6(tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_12(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p5(tptp_fun_Y_13(X!0)) | p105(tptp_fun_Y_13(X!0)) | (~r1(X!0, tptp_fun_Y_14(X!0))) | p105(tptp_fun_Y_14(X!0)) | (~r1(X!0, tptp_fun_Y_13(X!0))) | (~p104(tptp_fun_Y_13(X!0))) | (~p5(tptp_fun_Y_14(X!0))) | (~p104(tptp_fun_Y_14(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_Y_15(X!0))) | p4(tptp_fun_Y_15(X!0)) | p104(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~p103(tptp_fun_Y_15(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_16(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_Y_17(X!0))) | p3(tptp_fun_Y_17(X!0)) | p103(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~p102(tptp_fun_Y_17(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_18(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~p2(tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_20(X!0))))))) | (~(p110(X!0) | (~p111(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p108(X!0) | (~p109(X!0)))) | (~(p107(X!0) | (~p108(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~p104(Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p102(X!0) | (~p103(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p110(X!0) | (~p111(X!0)))) | 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p105(tptp_fun_Y_13(X!0)) | p5(tptp_fun_Y_13(X!0)))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_Y_16(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_15(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_15(X!0)) | p4(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_15(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~p102(tptp_fun_Y_18(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_17(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_17(X!0)) | p3(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_17(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(X!0, Y))))) | (~((~p11(X!0)) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(X!0, Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(X!0, Y))))) | (~((~p10(X!0)) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(X!0, Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(X!0, Y))))) | (~((~p9(X!0)) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(X!0, Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(X!0, Y))))) | (~((~p8(X!0)) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(X!0, Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(X!0, Y))))) | (~((~p7(X!0)) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(X!0, Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(X!0, Y))))) | (~((~p6(X!0)) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(X!0, Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(X!0, Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(X!0, Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y)))))))))))))),
% 1.26/1.58 inference(monotonicity,[status(thm)],[75])).
% 1.26/1.58 tff(77,plain,
% 1.26/1.58 (((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p110(X!0) | (~p109(X!0)) | (~(p111(tptp_fun_Y_2(X!0)) | p111(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))) | (~r1(X!0, tptp_fun_Y_1(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~p11(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p110(tptp_fun_Y_2(X!0))))))) | (~(p109(X!0) | (~p108(X!0)) | (~(p10(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~p109(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | (~p10(tptp_fun_Y_4(X!0))))))) | (~(p108(X!0) | (~p107(X!0)) | (~((~r1(X!0, tptp_fun_Y_5(X!0))) | (~r1(X!0, tptp_fun_Y_6(X!0))) | p109(tptp_fun_Y_5(X!0)) | p9(tptp_fun_Y_5(X!0)) | p109(tptp_fun_Y_6(X!0)) | (~p108(tptp_fun_Y_5(X!0))) | (~p9(tptp_fun_Y_6(X!0))) | (~p108(tptp_fun_Y_6(X!0))))))) | (~(p107(X!0) | (~p106(X!0)) | (~((~r1(X!0, tptp_fun_Y_7(X!0))) | p8(tptp_fun_Y_7(X!0)) | p108(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p108(tptp_fun_Y_8(X!0)) | (~p107(tptp_fun_Y_7(X!0))) | (~p8(tptp_fun_Y_8(X!0))) | (~p107(tptp_fun_Y_8(X!0))))))) | (~(p106(X!0) | (~p105(X!0)) | (~((~r1(X!0, tptp_fun_Y_9(X!0))) | p7(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p107(tptp_fun_Y_10(X!0)) | p107(tptp_fun_Y_9(X!0)) | (~p106(tptp_fun_Y_9(X!0))) | (~p7(tptp_fun_Y_10(X!0))) | (~p106(tptp_fun_Y_10(X!0))))))) | (~(p105(X!0) | (~p104(X!0)) | (~(p106(tptp_fun_Y_11(X!0)) | p106(tptp_fun_Y_12(X!0)) | (~r1(X!0, tptp_fun_Y_11(X!0))) | p6(tptp_fun_Y_11(X!0)) | (~r1(X!0, tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_11(X!0))) | (~p6(tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_12(X!0))))))) | (~(p104(X!0) | (~p103(X!0)) | (~(p5(tptp_fun_Y_13(X!0)) | p105(tptp_fun_Y_13(X!0)) | (~r1(X!0, tptp_fun_Y_14(X!0))) | p105(tptp_fun_Y_14(X!0)) | (~r1(X!0, tptp_fun_Y_13(X!0))) | (~p104(tptp_fun_Y_13(X!0))) | (~p5(tptp_fun_Y_14(X!0))) | (~p104(tptp_fun_Y_14(X!0))))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~r1(X!0, tptp_fun_Y_15(X!0))) | p4(tptp_fun_Y_15(X!0)) | p104(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~p103(tptp_fun_Y_15(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_16(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~r1(X!0, tptp_fun_Y_17(X!0))) | p3(tptp_fun_Y_17(X!0)) | p103(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~p102(tptp_fun_Y_17(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_18(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~((~r1(X!0, tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~p2(tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_20(X!0))))))) | (~(p110(X!0) | (~p111(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p108(X!0) | (~p109(X!0)))) | (~(p107(X!0) | (~p108(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p102(X!0) | (~p103(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~r1(X!0, Y)) | (~p104(Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(X!0, X!0)) | (~((~(p102(X!0) | (~p103(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p110(X!0) | (~p111(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p108(X!0) | (~p109(X!0)))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p107(X!0) | (~p108(X!0)))) | (~(p110(X!0) | (~p109(X!0)) | (~((~p110(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p11(tptp_fun_Y_2(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))) | (~r1(X!0, tptp_fun_Y_2(X!0))) | p111(tptp_fun_Y_1(X!0)) | p111(tptp_fun_Y_2(X!0)))))) | (~(p109(X!0) | (~p108(X!0)) | (~((~p10(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | (~p109(tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p10(tptp_fun_Y_3(X!0)))))) | (~(p108(X!0) | (~p107(X!0)) | (~((~p108(tptp_fun_Y_6(X!0))) | (~p9(tptp_fun_Y_6(X!0))) | (~p108(tptp_fun_Y_5(X!0))) | p109(tptp_fun_Y_6(X!0)) | p9(tptp_fun_Y_5(X!0)) | p109(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))) | (~r1(X!0, tptp_fun_Y_5(X!0))))))) | (~(p107(X!0) | (~p106(X!0)) | (~((~p107(tptp_fun_Y_8(X!0))) | (~p8(tptp_fun_Y_8(X!0))) | (~p107(tptp_fun_Y_7(X!0))) | p108(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p108(tptp_fun_Y_7(X!0)) | p8(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))))) | (~(p106(X!0) | (~p105(X!0)) | (~((~p106(tptp_fun_Y_10(X!0))) | (~p7(tptp_fun_Y_10(X!0))) | (~p106(tptp_fun_Y_9(X!0))) | p107(tptp_fun_Y_9(X!0)) | p107(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p7(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~p105(tptp_fun_Y_12(X!0))) | (~p6(tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_11(X!0))) | (~r1(X!0, tptp_fun_Y_12(X!0))) | p6(tptp_fun_Y_11(X!0)) | (~r1(X!0, tptp_fun_Y_11(X!0))) | p106(tptp_fun_Y_12(X!0)) | p106(tptp_fun_Y_11(X!0)))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p104(tptp_fun_Y_14(X!0))) | (~p5(tptp_fun_Y_14(X!0))) | (~p104(tptp_fun_Y_13(X!0))) | (~r1(X!0, tptp_fun_Y_13(X!0))) | p105(tptp_fun_Y_14(X!0)) | (~r1(X!0, tptp_fun_Y_14(X!0))) | p105(tptp_fun_Y_13(X!0)) | p5(tptp_fun_Y_13(X!0)))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_Y_16(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_15(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_15(X!0)) | p4(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_15(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~p102(tptp_fun_Y_18(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_17(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_17(X!0)) | p3(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_17(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(X!0, Y))))) | (~((~p11(X!0)) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(X!0, Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(X!0, Y))))) | (~((~p10(X!0)) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(X!0, Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(X!0, Y))))) | (~((~p9(X!0)) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(X!0, Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(X!0, Y))))) | (~((~p8(X!0)) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(X!0, Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(X!0, Y))))) | (~((~p7(X!0)) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(X!0, Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(X!0, Y))))) | (~((~p6(X!0)) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(X!0, Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(X!0, Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(X!0, Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y))))))))))))),
% 1.26/1.59 inference(transitivity,[status(thm)],[76, 74])).
% 1.26/1.59 tff(78,plain,
% 1.26/1.59 ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, X!0)) | (~((~(p110(X!0) | (~p109(X!0)) | (~(p111(tptp_fun_Y_2(X!0)) | p111(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_2(X!0))) | (~r1(X!0, tptp_fun_Y_1(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~p11(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p110(tptp_fun_Y_2(X!0))))))) | (~(p109(X!0) | (~p108(X!0)) | (~(p10(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~p109(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | 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(~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.36/1.60 inference(quant_inst,[status(thm)],[])).
% 1.36/1.60 tff(79,plain,
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(~r1(X!0, Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(X!0, Y))))) | (~((~p8(X!0)) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(X!0, Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(X!0, Y))))) | (~((~p7(X!0)) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(X!0, Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(X!0, Y))))) | (~((~p6(X!0)) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(X!0, Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(X!0, Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(X!0, Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y)))))))))))),
% 1.36/1.61 inference(modus_ponens,[status(thm)],[78, 77])).
% 1.36/1.61 tff(80,plain,
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% 1.36/1.61 inference(unit_resolution,[status(thm)],[79, 11, 73])).
% 1.36/1.61 tff(81,plain,
% 1.36/1.61 (((~(p102(X!0) | (~p103(X!0)))) | (~(p109(X!0) | (~p110(X!0)))) | (~(p106(X!0) | (~p107(X!0)))) | (~(p103(X!0) | (~p104(X!0)))) | (~(p104(X!0) | (~p105(X!0)))) | (~(p110(X!0) | (~p111(X!0)))) | (~(p100(X!0) | (~p101(X!0)))) | (~(p101(X!0) | (~p102(X!0)))) | (~(p108(X!0) | (~p109(X!0)))) | (~(p105(X!0) | (~p106(X!0)))) | (~(p107(X!0) | (~p108(X!0)))) | (~(p110(X!0) | (~p109(X!0)) | (~((~p110(tptp_fun_Y_2(X!0))) | (~p110(tptp_fun_Y_1(X!0))) | (~p11(tptp_fun_Y_2(X!0))) | p11(tptp_fun_Y_1(X!0)) | (~r1(X!0, tptp_fun_Y_1(X!0))) | (~r1(X!0, tptp_fun_Y_2(X!0))) | p111(tptp_fun_Y_1(X!0)) | p111(tptp_fun_Y_2(X!0)))))) | (~(p109(X!0) | (~p108(X!0)) | (~((~p10(tptp_fun_Y_4(X!0))) | (~p109(tptp_fun_Y_3(X!0))) | (~p109(tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_4(X!0)) | (~r1(X!0, tptp_fun_Y_4(X!0))) | p110(tptp_fun_Y_3(X!0)) | (~r1(X!0, tptp_fun_Y_3(X!0))) | p10(tptp_fun_Y_3(X!0)))))) | (~(p108(X!0) | (~p107(X!0)) | (~((~p108(tptp_fun_Y_6(X!0))) | (~p9(tptp_fun_Y_6(X!0))) | (~p108(tptp_fun_Y_5(X!0))) | p109(tptp_fun_Y_6(X!0)) | p9(tptp_fun_Y_5(X!0)) | p109(tptp_fun_Y_5(X!0)) | (~r1(X!0, tptp_fun_Y_6(X!0))) | (~r1(X!0, tptp_fun_Y_5(X!0))))))) | (~(p107(X!0) | (~p106(X!0)) | (~((~p107(tptp_fun_Y_8(X!0))) | (~p8(tptp_fun_Y_8(X!0))) | (~p107(tptp_fun_Y_7(X!0))) | p108(tptp_fun_Y_8(X!0)) | (~r1(X!0, tptp_fun_Y_8(X!0))) | p108(tptp_fun_Y_7(X!0)) | p8(tptp_fun_Y_7(X!0)) | (~r1(X!0, tptp_fun_Y_7(X!0))))))) | (~(p106(X!0) | (~p105(X!0)) | (~((~p106(tptp_fun_Y_10(X!0))) | (~p7(tptp_fun_Y_10(X!0))) | (~p106(tptp_fun_Y_9(X!0))) | p107(tptp_fun_Y_9(X!0)) | p107(tptp_fun_Y_10(X!0)) | (~r1(X!0, tptp_fun_Y_10(X!0))) | p7(tptp_fun_Y_9(X!0)) | (~r1(X!0, tptp_fun_Y_9(X!0))))))) | (~(p105(X!0) | (~p104(X!0)) | (~((~p105(tptp_fun_Y_12(X!0))) | (~p6(tptp_fun_Y_12(X!0))) | (~p105(tptp_fun_Y_11(X!0))) | (~r1(X!0, tptp_fun_Y_12(X!0))) | p6(tptp_fun_Y_11(X!0)) | (~r1(X!0, tptp_fun_Y_11(X!0))) | p106(tptp_fun_Y_12(X!0)) | p106(tptp_fun_Y_11(X!0)))))) | (~(p104(X!0) | (~p103(X!0)) | (~((~p104(tptp_fun_Y_14(X!0))) | (~p5(tptp_fun_Y_14(X!0))) | (~p104(tptp_fun_Y_13(X!0))) | (~r1(X!0, tptp_fun_Y_13(X!0))) | p105(tptp_fun_Y_14(X!0)) | (~r1(X!0, tptp_fun_Y_14(X!0))) | p105(tptp_fun_Y_13(X!0)) | p5(tptp_fun_Y_13(X!0)))))) | (~(p103(X!0) | (~p102(X!0)) | (~((~p103(tptp_fun_Y_16(X!0))) | (~p4(tptp_fun_Y_16(X!0))) | (~p103(tptp_fun_Y_15(X!0))) | p104(tptp_fun_Y_16(X!0)) | (~r1(X!0, tptp_fun_Y_16(X!0))) | p104(tptp_fun_Y_15(X!0)) | p4(tptp_fun_Y_15(X!0)) | (~r1(X!0, tptp_fun_Y_15(X!0))))))) | (~(p102(X!0) | (~p101(X!0)) | (~((~p102(tptp_fun_Y_18(X!0))) | (~p3(tptp_fun_Y_18(X!0))) | (~p102(tptp_fun_Y_17(X!0))) | p103(tptp_fun_Y_18(X!0)) | (~r1(X!0, tptp_fun_Y_18(X!0))) | p103(tptp_fun_Y_17(X!0)) | p3(tptp_fun_Y_17(X!0)) | (~r1(X!0, tptp_fun_Y_17(X!0))))))) | (~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | (~((~p110(X!0)) | (~((~(p11(X!0) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(X!0, Y))))) | (~((~p11(X!0)) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(X!0, Y))))))))) | (~((~p109(X!0)) | (~((~(p10(X!0) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(X!0, Y))))) | (~((~p10(X!0)) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(X!0, Y))))))))) | (~((~p108(X!0)) | (~((~(p9(X!0) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(X!0, Y))))) | (~((~p9(X!0)) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(X!0, Y))))))))) | (~((~p107(X!0)) | (~((~(p8(X!0) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(X!0, Y))))) | (~((~p8(X!0)) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(X!0, Y))))))))) | (~((~p106(X!0)) | (~((~(p7(X!0) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(X!0, Y))))) | (~((~p7(X!0)) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(X!0, Y))))))))) | (~((~p105(X!0)) | (~((~(p6(X!0) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(X!0, Y))))) | (~((~p6(X!0)) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(X!0, Y))))))))) | (~((~p104(X!0)) | (~((~(p5(X!0) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(X!0, Y))))) | (~((~p5(X!0)) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(X!0, Y))))))))) | (~((~p103(X!0)) | (~((~(p4(X!0) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(X!0, Y))))) | (~((~p4(X!0)) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(X!0, Y))))))))) | (~((~p102(X!0)) | (~((~(p3(X!0) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(X!0, Y))))) | (~((~p3(X!0)) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(X!0, Y))))))))) | (~((~p101(X!0)) | (~((~(p2(X!0) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(X!0, Y))))) | (~((~p2(X!0)) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(X!0, Y))))))))) | (~((~p100(X!0)) | (~((~(p1(X!0) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(X!0, Y))))) | (~((~p1(X!0)) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(X!0, Y)))))))))) | (p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))),
% 1.36/1.62 inference(tautology,[status(thm)],[])).
% 1.36/1.62 tff(82,plain,
% 1.36/1.62 (p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))))),
% 1.36/1.62 inference(unit_resolution,[status(thm)],[81, 80])).
% 1.36/1.62 tff(83,plain,
% 1.36/1.62 (p100(X!0)),
% 1.36/1.62 inference(and_elim,[status(thm)],[33])).
% 1.36/1.62 tff(84,plain,
% 1.36/1.62 (~p101(X!0)),
% 1.36/1.62 inference(and_elim,[status(thm)],[33])).
% 1.36/1.62 tff(85,plain,
% 1.36/1.62 ((~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))))),
% 1.36/1.62 inference(tautology,[status(thm)],[])).
% 1.36/1.62 tff(86,plain,
% 1.36/1.62 ((~(p101(X!0) | (~p100(X!0)) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))))),
% 1.36/1.62 inference(unit_resolution,[status(thm)],[85, 84, 83])).
% 1.36/1.62 tff(87,plain,
% 1.36/1.62 (~(p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0))))),
% 1.36/1.62 inference(unit_resolution,[status(thm)],[86, 82])).
% 1.36/1.62 tff(88,plain,
% 1.36/1.62 ((p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))) | r1(X!0, tptp_fun_Y_19(X!0))),
% 1.36/1.62 inference(tautology,[status(thm)],[])).
% 1.36/1.62 tff(89,plain,
% 1.36/1.62 (r1(X!0, tptp_fun_Y_19(X!0))),
% 1.36/1.62 inference(unit_resolution,[status(thm)],[88, 87])).
% 1.36/1.62 tff(90,plain,
% 1.36/1.62 (((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) 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(~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) 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(~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y))))))))))))),
% 1.36/1.63 inference(rewrite,[status(thm)],[])).
% 1.36/1.63 tff(91,plain,
% 1.36/1.63 (((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_19(X!0), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | p1(Y))))))))))) <=> ((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), 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: ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), 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% 1.36/1.64 inference(rewrite,[status(thm)],[])).
% 1.36/1.64 tff(92,plain,
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(~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_19(X!0), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | 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(~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y)))))))))))))),
% 1.36/1.65 inference(monotonicity,[status(thm)],[91])).
% 1.36/1.65 tff(93,plain,
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(~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_19(X!0), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | (~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y))))))))))))),
% 1.36/1.66 inference(transitivity,[status(thm)],[92, 90])).
% 1.36/1.66 tff(94,plain,
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| (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_19(X!0), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.36/1.67 inference(quant_inst,[status(thm)],[])).
% 1.36/1.67 tff(95,plain,
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(~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y)))))))))))),
% 1.36/1.68 inference(modus_ponens,[status(thm)],[94, 93])).
% 1.36/1.68 tff(96,plain,
% 1.36/1.68 ($false),
% 1.36/1.68 inference(unit_resolution,[status(thm)],[95, 73, 89, 2])).
% 1.36/1.68 tff(97,plain,(~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.68 tff(98,plain,
% 1.36/1.68 (((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y)))))))))) | (p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.36/1.69 inference(tautology,[status(thm)],[])).
% 1.36/1.69 tff(99,plain,
% 1.36/1.69 (p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[98, 97])).
% 1.36/1.69 tff(100,plain,
% 1.36/1.69 ((p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))) | p101(tptp_fun_Y_19(X!0))),
% 1.36/1.69 inference(tautology,[status(thm)],[])).
% 1.36/1.69 tff(101,plain,
% 1.36/1.69 (p101(tptp_fun_Y_19(X!0))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[100, 87])).
% 1.36/1.69 tff(102,plain,
% 1.36/1.69 ((p102(tptp_fun_Y_20(X!0)) | (~p101(tptp_fun_Y_20(X!0))) | p102(tptp_fun_Y_19(X!0)) | (~r1(X!0, tptp_fun_Y_20(X!0))) | (~p101(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(X!0)) | (~p2(tptp_fun_Y_20(X!0))) | (~r1(X!0, tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_19(X!0)))),
% 1.36/1.69 inference(tautology,[status(thm)],[])).
% 1.36/1.69 tff(103,plain,
% 1.36/1.69 (~p102(tptp_fun_Y_19(X!0))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[102, 87])).
% 1.36/1.69 tff(104,plain,
% 1.36/1.69 ((~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.36/1.69 inference(tautology,[status(thm)],[])).
% 1.36/1.69 tff(105,plain,
% 1.36/1.69 ((~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[104, 103, 101])).
% 1.36/1.69 tff(106,plain,
% 1.36/1.69 (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[105, 99])).
% 1.36/1.69 tff(107,plain,
% 1.36/1.69 (((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.36/1.69 inference(tautology,[status(thm)],[])).
% 1.36/1.69 tff(108,plain,
% 1.36/1.69 (r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[107, 106])).
% 1.36/1.69 tff(109,plain,
% 1.36/1.69 (^[Y: $i] : refl(((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))))),
% 1.36/1.69 inference(bind,[status(th)],[])).
% 1.36/1.69 tff(110,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(quant_intro,[status(thm)],[109])).
% 1.36/1.69 tff(111,plain,
% 1.36/1.69 (^[Y: $i] : rewrite(((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))))),
% 1.36/1.69 inference(bind,[status(th)],[])).
% 1.36/1.69 tff(112,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(quant_intro,[status(thm)],[111])).
% 1.36/1.69 tff(113,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(transitivity,[status(thm)],[112, 110])).
% 1.36/1.69 tff(114,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(and_elim,[status(thm)],[33])).
% 1.36/1.69 tff(115,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(modus_ponens,[status(thm)],[114, 113])).
% 1.36/1.69 tff(116,plain,
% 1.36/1.69 (((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(rewrite,[status(thm)],[])).
% 1.36/1.69 tff(117,plain,
% 1.36/1.69 ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))),
% 1.36/1.69 inference(quant_inst,[status(thm)],[])).
% 1.36/1.69 tff(118,plain,
% 1.36/1.69 ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))),
% 1.36/1.69 inference(modus_ponens,[status(thm)],[117, 116])).
% 1.36/1.69 tff(119,plain,
% 1.36/1.69 (![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[118, 115, 11])).
% 1.36/1.69 tff(120,plain,
% 1.36/1.69 (((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) <=> ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))),
% 1.36/1.69 inference(rewrite,[status(thm)],[])).
% 1.36/1.69 tff(121,plain,
% 1.36/1.69 ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))),
% 1.36/1.69 inference(quant_inst,[status(thm)],[])).
% 1.36/1.69 tff(122,plain,
% 1.36/1.69 ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))),
% 1.36/1.69 inference(modus_ponens,[status(thm)],[121, 120])).
% 1.36/1.69 tff(123,plain,
% 1.36/1.69 (![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))),
% 1.36/1.69 inference(unit_resolution,[status(thm)],[122, 11, 119])).
% 1.36/1.69 tff(124,plain,
% 1.36/1.69 (((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))),
% 1.46/1.70 inference(rewrite,[status(thm)],[])).
% 1.46/1.70 tff(125,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))),
% 1.46/1.70 inference(quant_inst,[status(thm)],[])).
% 1.46/1.70 tff(126,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X))))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))),
% 1.46/1.70 inference(modus_ponens,[status(thm)],[125, 124])).
% 1.46/1.70 tff(127,plain,
% 1.46/1.70 (![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))),
% 1.46/1.70 inference(unit_resolution,[status(thm)],[126, 11, 123])).
% 1.46/1.70 tff(128,plain,
% 1.46/1.70 (((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))))) <=> ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))))),
% 1.46/1.70 inference(rewrite,[status(thm)],[])).
% 1.46/1.70 tff(129,plain,
% 1.46/1.70 ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))))),
% 1.46/1.70 inference(quant_inst,[status(thm)],[])).
% 1.46/1.70 tff(130,plain,
% 1.46/1.70 ((~![X: $i] : ((~r1(X!0, 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] : (p5(X) | (~r1(Y, X)))))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))),
% 1.46/1.70 inference(modus_ponens,[status(thm)],[129, 128])).
% 1.46/1.70 tff(131,plain,
% 1.46/1.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))),
% 1.46/1.70 inference(unit_resolution,[status(thm)],[130, 11, 127])).
% 1.46/1.70 tff(132,plain,
% 1.46/1.70 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))),
% 1.46/1.70 inference(rewrite,[status(thm)],[])).
% 1.46/1.70 tff(133,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))) | ((~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))),
% 1.46/1.70 inference(quant_inst,[status(thm)],[])).
% 1.46/1.70 tff(134,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))))) | (~r1(X!0, X!0)) | ![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))),
% 1.46/1.70 inference(modus_ponens,[status(thm)],[133, 132])).
% 1.46/1.70 tff(135,plain,
% 1.46/1.70 (![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))),
% 1.46/1.70 inference(unit_resolution,[status(thm)],[134, 11, 131])).
% 1.46/1.70 tff(136,plain,
% 1.46/1.70 (((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))),
% 1.46/1.70 inference(rewrite,[status(thm)],[])).
% 1.46/1.70 tff(137,plain,
% 1.46/1.70 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))) | ((~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))),
% 1.46/1.70 inference(quant_inst,[status(thm)],[])).
% 1.46/1.70 tff(138,plain,
% 1.46/1.70 ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))))) | (~r1(X!0, X!0)) | ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))),
% 1.46/1.70 inference(modus_ponens,[status(thm)],[137, 136])).
% 1.46/1.70 tff(139,plain,
% 1.46/1.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))),
% 1.46/1.70 inference(unit_resolution,[status(thm)],[138, 11, 135])).
% 1.46/1.70 tff(140,plain,
% 1.46/1.70 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))),
% 1.46/1.70 inference(rewrite,[status(thm)],[])).
% 1.46/1.70 tff(141,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))) | ((~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))),
% 1.46/1.70 inference(quant_inst,[status(thm)],[])).
% 1.46/1.70 tff(142,plain,
% 1.46/1.70 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))),
% 1.46/1.70 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.46/1.70 tff(143,plain,
% 1.46/1.70 (![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))),
% 1.46/1.70 inference(unit_resolution,[status(thm)],[142, 139, 89])).
% 1.46/1.70 tff(144,plain,
% 1.46/1.70 (~((~(p100(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p110(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p111(tptp_fun_Y_19(X!0))))) | (~(p110(tptp_fun_Y_19(X!0)) | (~p109(tptp_fun_Y_19(X!0))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p11(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_1(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_2(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_19(X!0))) | p111(tptp_fun_Y_2(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_19(X!0)) | (~p108(tptp_fun_Y_19(X!0))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_4(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_4(tptp_fun_Y_19(X!0)))) | p110(tptp_fun_Y_3(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_3(tptp_fun_Y_19(X!0)))) | p10(tptp_fun_Y_3(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_19(X!0)) | (~p107(tptp_fun_Y_19(X!0))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_19(X!0))) | p9(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | p109(tptp_fun_Y_5(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_6(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_5(tptp_fun_Y_19(X!0)))))))) | (~(p107(tptp_fun_Y_19(X!0)) | (~p106(tptp_fun_Y_19(X!0))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_8(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_8(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | p8(tptp_fun_Y_7(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_7(tptp_fun_Y_19(X!0)))))))) | (~(p106(tptp_fun_Y_19(X!0)) | (~p105(tptp_fun_Y_19(X!0))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | p107(tptp_fun_Y_10(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_10(tptp_fun_Y_19(X!0)))) | p7(tptp_fun_Y_9(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_9(tptp_fun_Y_19(X!0)))))))) | (~(p105(tptp_fun_Y_19(X!0)) | (~p104(tptp_fun_Y_19(X!0))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_12(tptp_fun_Y_19(X!0)))) | p6(tptp_fun_Y_11(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_11(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_19(X!0))) | p106(tptp_fun_Y_11(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_19(X!0)) | (~p103(tptp_fun_Y_19(X!0))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_13(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_14(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_14(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_19(X!0))) | p5(tptp_fun_Y_13(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_19(X!0)) | (~p102(tptp_fun_Y_19(X!0))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_16(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_16(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | p4(tptp_fun_Y_15(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_15(tptp_fun_Y_19(X!0)))))))) | (~(p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p101(tptp_fun_Y_19(X!0)) | (~p100(tptp_fun_Y_19(X!0))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_20(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_20(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | p2(tptp_fun_Y_19(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_19(tptp_fun_Y_19(X!0)))))))) | (~((~p110(tptp_fun_Y_19(X!0))) | (~((~(p11(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p11(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p109(tptp_fun_Y_19(X!0))) | (~((~(p10(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p10(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p108(tptp_fun_Y_19(X!0))) | (~((~(p9(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p9(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p107(tptp_fun_Y_19(X!0))) | (~((~(p8(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p8(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p106(tptp_fun_Y_19(X!0))) | (~((~(p7(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p7(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p105(tptp_fun_Y_19(X!0))) | (~((~(p6(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p6(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p104(tptp_fun_Y_19(X!0))) | (~((~(p5(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p5(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p103(tptp_fun_Y_19(X!0))) | (~((~(p4(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p4(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p102(tptp_fun_Y_19(X!0))) | (~((~(p3(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p3(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p101(tptp_fun_Y_19(X!0))) | (~((~(p2(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p2(tptp_fun_Y_19(X!0))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))))))) | (~((~p100(tptp_fun_Y_19(X!0))) | (~((~(p1(tptp_fun_Y_19(X!0)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_19(X!0), Y))))) | (~((~p1(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_19(X!0), Y))))))))))),
% 1.46/1.71 inference(unit_resolution,[status(thm)],[95, 73, 89])).
% 1.46/1.71 tff(145,plain,
% 1.46/1.71 (p102(tptp_fun_Y_19(X!0)) | (~p101(tptp_fun_Y_19(X!0))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.46/1.71 inference(unit_resolution,[status(thm)],[98, 144])).
% 1.46/1.71 tff(146,plain,
% 1.46/1.71 (~((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.46/1.71 inference(unit_resolution,[status(thm)],[105, 145])).
% 1.46/1.71 tff(147,plain,
% 1.46/1.71 (r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.46/1.71 inference(unit_resolution,[status(thm)],[107, 146])).
% 1.46/1.71 tff(148,plain,
% 1.46/1.71 (((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))),
% 1.46/1.71 inference(rewrite,[status(thm)],[])).
% 1.46/1.71 tff(149,plain,
% 1.46/1.71 ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))),
% 1.46/1.71 inference(quant_inst,[status(thm)],[])).
% 1.46/1.71 tff(150,plain,
% 1.46/1.71 ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))),
% 1.46/1.71 inference(modus_ponens,[status(thm)],[149, 148])).
% 1.46/1.71 tff(151,plain,
% 1.46/1.71 (![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))),
% 1.46/1.71 inference(unit_resolution,[status(thm)],[150, 147, 143])).
% 1.46/1.71 tff(152,assumption,(~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))))), introduced(assumption)).
% 1.46/1.71 tff(153,plain,
% 1.46/1.71 (((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)))))))))) | (p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(154,plain,
% 1.46/1.72 (p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[153, 152])).
% 1.46/1.72 tff(155,plain,
% 1.46/1.72 (((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(156,plain,
% 1.46/1.72 (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[155, 146])).
% 1.46/1.72 tff(157,plain,
% 1.46/1.72 (((~p102(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_18(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_18(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(158,plain,
% 1.46/1.72 (p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[157, 146])).
% 1.46/1.72 tff(159,plain,
% 1.46/1.72 ((~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(160,plain,
% 1.46/1.72 ((~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[159, 158, 156])).
% 1.46/1.72 tff(161,plain,
% 1.46/1.72 (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[160, 154])).
% 1.46/1.72 tff(162,plain,
% 1.46/1.72 (((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(163,plain,
% 1.46/1.72 (r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[162, 161])).
% 1.46/1.72 tff(164,plain,
% 1.46/1.72 (((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(165,plain,
% 1.46/1.72 (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[164, 161])).
% 1.46/1.72 tff(166,plain,
% 1.46/1.72 (((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(tautology,[status(thm)],[])).
% 1.46/1.72 tff(167,plain,
% 1.46/1.72 (p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[166, 161])).
% 1.46/1.72 tff(168,assumption,(![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))), introduced(assumption)).
% 1.46/1.72 tff(169,assumption,(r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))), introduced(assumption)).
% 1.46/1.72 tff(170,plain,
% 1.46/1.72 (((~![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X))))),
% 1.46/1.72 inference(rewrite,[status(thm)],[])).
% 1.46/1.72 tff(171,plain,
% 1.46/1.72 ((~![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X))))),
% 1.46/1.72 inference(quant_inst,[status(thm)],[])).
% 1.46/1.72 tff(172,plain,
% 1.46/1.72 ((~![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))),
% 1.46/1.72 inference(modus_ponens,[status(thm)],[171, 170])).
% 1.46/1.72 tff(173,plain,
% 1.46/1.72 (![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))),
% 1.46/1.72 inference(unit_resolution,[status(thm)],[172, 169, 168])).
% 1.46/1.72 tff(174,assumption,(~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))))), introduced(assumption)).
% 1.46/1.73 tff(175,plain,
% 1.46/1.73 (((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)))))))))) | (p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))),
% 1.46/1.73 inference(tautology,[status(thm)],[])).
% 1.46/1.73 tff(176,plain,
% 1.46/1.73 (p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.73 inference(unit_resolution,[status(thm)],[175, 174])).
% 1.46/1.73 tff(177,assumption,(~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))), introduced(assumption)).
% 1.46/1.73 tff(178,assumption,(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))), introduced(assumption)).
% 1.46/1.73 tff(179,plain,
% 1.46/1.73 ((~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.73 inference(tautology,[status(thm)],[])).
% 1.46/1.73 tff(180,plain,
% 1.46/1.73 ((~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.74 inference(unit_resolution,[status(thm)],[179, 178, 177])).
% 1.46/1.74 tff(181,plain,
% 1.46/1.74 (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.46/1.74 inference(unit_resolution,[status(thm)],[180, 176])).
% 1.46/1.74 tff(182,plain,
% 1.46/1.74 (((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.46/1.74 inference(tautology,[status(thm)],[])).
% 1.46/1.74 tff(183,plain,
% 1.46/1.74 (~p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.46/1.74 inference(unit_resolution,[status(thm)],[182, 181])).
% 1.46/1.74 tff(184,plain,
% 1.46/1.74 (((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.46/1.74 inference(tautology,[status(thm)],[])).
% 1.46/1.74 tff(185,plain,
% 1.46/1.74 (r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))),
% 1.46/1.74 inference(unit_resolution,[status(thm)],[184, 181])).
% 1.46/1.74 tff(186,plain,
% 1.46/1.74 (((~![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))) | (p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) <=> ((~![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.74 inference(rewrite,[status(thm)],[])).
% 1.46/1.74 tff(187,plain,
% 1.46/1.74 ((~![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))) | (p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))),
% 1.46/1.74 inference(quant_inst,[status(thm)],[])).
% 1.46/1.74 tff(188,plain,
% 1.46/1.74 ((~![X: $i] : (p5(X) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), X)))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))),
% 1.46/1.74 inference(modus_ponens,[status(thm)],[187, 186])).
% 1.46/1.74 tff(189,plain,
% 1.46/1.74 ($false),
% 1.46/1.74 inference(unit_resolution,[status(thm)],[188, 185, 183, 173])).
% 1.46/1.74 tff(190,plain,(((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)))))))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | ![X: $i] : (p5(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.74 tff(191,plain,
% 1.46/1.74 ((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)))))))))),
% 1.46/1.75 inference(unit_resolution,[status(thm)],[190, 167, 165, 163, 151])).
% 1.46/1.75 tff(192,plain,
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tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | 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| p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(X!0, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))),
% 1.46/1.76 inference(rewrite,[status(thm)],[])).
% 1.46/1.76 tff(193,plain,
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% 1.46/1.76 inference(quant_inst,[status(thm)],[])).
% 1.46/1.76 tff(194,plain,
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(~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))),
% 1.46/1.76 inference(modus_ponens,[status(thm)],[193, 192])).
% 1.46/1.76 tff(195,plain,
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% 1.46/1.76 inference(unit_resolution,[status(thm)],[194, 65, 89])).
% 1.46/1.76 tff(196,plain,
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![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_Y_19(X!0), Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))),
% 1.46/1.77 inference(rewrite,[status(thm)],[])).
% 1.46/1.77 tff(197,plain,
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% 1.46/1.77 inference(quant_inst,[status(thm)],[])).
% 1.46/1.77 tff(198,plain,
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(~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.46/1.78 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.46/1.78 tff(199,plain,
% 1.46/1.78 (![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.46/1.78 inference(unit_resolution,[status(thm)],[198, 147, 195])).
% 1.46/1.78 tff(200,plain,
% 1.46/1.78 (((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) 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$i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))))))),
% 1.46/1.80 inference(rewrite,[status(thm)],[])).
% 1.46/1.80 tff(201,plain,
% 1.46/1.80 (((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | p1(Y))))))))))) <=> ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))))))),
% 1.56/1.81 inference(rewrite,[status(thm)],[])).
% 1.56/1.81 tff(202,plain,
% 1.56/1.81 (((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)))))))))))))),
% 1.56/1.82 inference(monotonicity,[status(thm)],[201])).
% 1.56/1.82 tff(203,plain,
% 1.56/1.82 (((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))))))),
% 1.56/1.83 inference(transitivity,[status(thm)],[202, 200])).
% 1.56/1.83 tff(204,plain,
% 1.56/1.83 ((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.56/1.84 inference(quant_inst,[status(thm)],[])).
% 1.56/1.84 tff(205,plain,
% 1.56/1.84 ((~![X: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p111(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))) | (~(p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p11(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p111(tptp_fun_Y_1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p110(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p109(tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p9(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p108(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p107(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p7(tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p6(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p106(tptp_fun_Y_12(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p105(tptp_fun_Y_14(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p5(tptp_fun_Y_13(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p4(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p104(tptp_fun_Y_16(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_15(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p3(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_18(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p103(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_17(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_20(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | p102(tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), tptp_fun_Y_19(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))))) | (~((~p110(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p11(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p109(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p10(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p108(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p9(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p107(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p8(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p106(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p7(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))), Y)))))))))))),
% 1.56/1.85 inference(modus_ponens,[status(thm)],[204, 203])).
% 1.56/1.85 tff(206,plain,
% 1.56/1.85 ($false),
% 1.56/1.85 inference(unit_resolution,[status(thm)],[205, 163, 199, 191])).
% 1.56/1.85 tff(207,plain,((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)))))))))), inference(lemma,lemma(discharge,[]))).
% 1.56/1.86 tff(208,plain,
% 1.56/1.86 (((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))))))),
% 1.56/1.87 inference(rewrite,[status(thm)],[])).
% 1.56/1.87 tff(209,plain,
% 1.56/1.87 (((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~(p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~(p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~(p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~(p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | p1(Y))))))))))) <=> ((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))))))),
% 1.56/1.88 inference(rewrite,[status(thm)],[])).
% 1.56/1.88 tff(210,plain,
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(~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | ((~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)))))))))))))),
% 1.56/1.89 inference(monotonicity,[status(thm)],[209])).
% 1.56/1.89 tff(211,plain,
% 1.56/1.89 (((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | 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(~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p111(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p110(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p110(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p11(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p11(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))))))),
% 1.66/1.91 inference(transitivity,[status(thm)],[210, 208])).
% 1.66/1.91 tff(212,plain,
% 1.66/1.91 ((~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | 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(~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p104(Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.66/1.91 inference(quant_inst,[status(thm)],[])).
% 1.66/1.91 tff(213,plain,
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$i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))) | (~r1(tptp_fun_Y_19(X!0), tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | 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tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p111(tptp_fun_Y_1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p111(tptp_fun_Y_2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p10(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p109(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p110(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p10(tptp_fun_Y_3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p108(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p9(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p108(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p109(tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p9(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p109(tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p107(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p8(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p107(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p108(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p8(tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p106(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p7(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p106(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p107(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p107(tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p7(tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p105(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p6(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p105(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p6(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p106(tptp_fun_Y_12(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p106(tptp_fun_Y_11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p104(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p5(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p104(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_14(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p105(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p5(tptp_fun_Y_13(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))))))) | (~(p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p103(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p4(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p103(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_16(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p104(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p4(tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_15(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p102(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p3(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p102(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_18(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p103(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p3(tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_17(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~(p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | (~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~p101(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p2(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | (~p101(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_20(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))) | p102(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | p2(tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), tptp_fun_Y_19(tptp_fun_Y_17(tptp_fun_Y_19(X!0))))))))) | (~((~p110(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p11(Y)) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p11(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p11(Y) | (~p110(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p109(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p10(Y)) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p10(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p10(Y) | (~p109(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p108(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p9(Y)) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p9(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p9(Y) | (~p108(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p107(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p8(Y)) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p8(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p8(Y) | (~p107(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p106(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p7(Y)) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p7(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p7(Y) | (~p106(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p105(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p6(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p104(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p5(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p103(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p4(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p102(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p3(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p101(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p2(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))))))) | (~((~p100(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | (~((~(p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y))))) | (~((~p1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_Y_17(tptp_fun_Y_19(X!0)), Y)))))))))))),
% 1.66/1.92 inference(modus_ponens,[status(thm)],[212, 211])).
% 1.66/1.92 tff(214,plain,
% 1.66/1.92 ($false),
% 1.66/1.92 inference(unit_resolution,[status(thm)],[213, 207, 108, 1])).
% 1.66/1.92 tff(215,plain,(~![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.92 tff(216,plain,
% 1.66/1.92 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | 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(~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))),
% 1.66/1.93 inference(rewrite,[status(thm)],[])).
% 1.66/1.93 tff(217,plain,
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% 1.66/1.93 inference(quant_inst,[status(thm)],[])).
% 1.66/1.93 tff(218,plain,
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(~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y))))))))))))) | (~r1(X!0, tptp_fun_Y_19(X!0))) | ![X: $i] : ((~r1(tptp_fun_Y_19(X!0), X)) | (~((~(p110(X) | (~p109(X)) | (~(p111(tptp_fun_Y_2(X)) | p111(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~r1(X, tptp_fun_Y_1(X))) | p11(tptp_fun_Y_1(X)) | (~p11(tptp_fun_Y_2(X))) | (~p110(tptp_fun_Y_1(X))) | (~p110(tptp_fun_Y_2(X))))))) | (~(p109(X) | (~p108(X)) | (~(p10(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_3(X))) | p110(tptp_fun_Y_3(X)) | (~r1(X, tptp_fun_Y_4(X))) | p110(tptp_fun_Y_4(X)) | (~p109(tptp_fun_Y_4(X))) | (~p109(tptp_fun_Y_3(X))) | (~p10(tptp_fun_Y_4(X))))))) | (~(p108(X) | (~p107(X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_6(X))) | p109(tptp_fun_Y_5(X)) | p9(tptp_fun_Y_5(X)) | p109(tptp_fun_Y_6(X)) | (~p108(tptp_fun_Y_5(X))) | (~p9(tptp_fun_Y_6(X))) | (~p108(tptp_fun_Y_6(X))))))) | (~(p107(X) | (~p106(X)) | (~((~r1(X, tptp_fun_Y_7(X))) | p8(tptp_fun_Y_7(X)) | p108(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_8(X))) | p108(tptp_fun_Y_8(X)) | (~p107(tptp_fun_Y_7(X))) | (~p8(tptp_fun_Y_8(X))) | (~p107(tptp_fun_Y_8(X))))))) | (~(p106(X) | (~p105(X)) | (~((~r1(X, tptp_fun_Y_9(X))) | p7(tptp_fun_Y_9(X)) | (~r1(X, tptp_fun_Y_10(X))) | p107(tptp_fun_Y_10(X)) | p107(tptp_fun_Y_9(X)) | (~p106(tptp_fun_Y_9(X))) | (~p7(tptp_fun_Y_10(X))) | (~p106(tptp_fun_Y_10(X))))))) | (~(p105(X) | (~p104(X)) | (~(p106(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_12(X)) | (~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_12(X))))))) | (~(p104(X) | (~p103(X)) | (~(p5(tptp_fun_Y_13(X)) | p105(tptp_fun_Y_13(X)) | (~r1(X, tptp_fun_Y_14(X))) | p105(tptp_fun_Y_14(X)) | (~r1(X, tptp_fun_Y_13(X))) | (~p104(tptp_fun_Y_13(X))) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))))))) | (~(p103(X) | (~p102(X)) | (~((~r1(X, tptp_fun_Y_15(X))) | p4(tptp_fun_Y_15(X)) | p104(tptp_fun_Y_15(X)) | (~r1(X, tptp_fun_Y_16(X))) | p104(tptp_fun_Y_16(X)) | (~p103(tptp_fun_Y_15(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_16(X))))))) | (~(p102(X) | (~p101(X)) | (~((~r1(X, tptp_fun_Y_17(X))) | p3(tptp_fun_Y_17(X)) | p103(tptp_fun_Y_17(X)) | (~r1(X, tptp_fun_Y_18(X))) | p103(tptp_fun_Y_18(X)) | (~p102(tptp_fun_Y_17(X))) | (~p3(tptp_fun_Y_18(X))) | (~p102(tptp_fun_Y_18(X))))))) | (~(p101(X) | (~p100(X)) | (~((~r1(X, tptp_fun_Y_19(X))) | p2(tptp_fun_Y_19(X)) | p102(tptp_fun_Y_19(X)) | (~r1(X, tptp_fun_Y_20(X))) | p102(tptp_fun_Y_20(X)) | (~p101(tptp_fun_Y_19(X))) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))))))) | (~(p110(X) | (~p111(X)))) | (~(p109(X) | (~p110(X)))) | (~(p108(X) | (~p109(X)))) | (~(p107(X) | (~p108(X)))) | (~(p106(X) | (~p107(X)))) | (~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~((~p110(X)) | (~((~(p11(X) | ![Y: $i] : ((~r1(X, Y)) | (~p11(Y)) | (~p110(Y))))) | (~((~p11(X)) | ![Y: $i] : ((~r1(X, Y)) | p11(Y) | (~p110(Y))))))))) | (~((~p109(X)) | (~((~(p10(X) | ![Y: $i] : ((~r1(X, Y)) | (~p10(Y)) | (~p109(Y))))) | (~((~p10(X)) | ![Y: $i] : ((~r1(X, Y)) | p10(Y) | (~p109(Y))))))))) | (~((~p108(X)) | (~((~(p9(X) | ![Y: $i] : ((~r1(X, Y)) | (~p9(Y)) | (~p108(Y))))) | (~((~p9(X)) | ![Y: $i] : ((~r1(X, Y)) | p9(Y) | (~p108(Y))))))))) | (~((~p107(X)) | (~((~(p8(X) | ![Y: $i] : ((~r1(X, Y)) | (~p8(Y)) | (~p107(Y))))) | (~((~p8(X)) | ![Y: $i] : ((~r1(X, Y)) | p8(Y) | (~p107(Y))))))))) | (~((~p106(X)) | (~((~(p7(X) | ![Y: $i] : ((~r1(X, Y)) | (~p7(Y)) | (~p106(Y))))) | (~((~p7(X)) | ![Y: $i] : ((~r1(X, Y)) | p7(Y) | (~p106(Y))))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : (p5(Y) | (~r1(X, Y)) | (~p104(Y))))))))) | (~((~p103(X)) | (~((~(p4(X) | ![Y: $i] : ((~r1(X, Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(X)) | ![Y: $i] : ((~r1(X, Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : ((~r1(X, Y)) | p3(Y) | (~p102(Y))))))))) | (~((~p101(X)) | (~((~(p2(X) | ![Y: $i] : ((~r1(X, Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(X)) | ![Y: $i] : ((~r1(X, Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(X)) | ![Y: $i] : ((~r1(X, Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.66/1.94 inference(modus_ponens,[status(thm)],[217, 216])).
% 1.66/1.94 tff(219,plain,
% 1.66/1.94 ($false),
% 1.66/1.94 inference(unit_resolution,[status(thm)],[218, 69, 89, 215])).
% 1.66/1.94 % SZS output end Proof
% 1.66/1.95 % E exiting
%------------------------------------------------------------------------------