%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL636+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n012.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 03:00:17 PM UTC 2026
% Result : Theorem 0.95s 1.23s
% Output : Proof 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL636+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.06/0.33 % Computer : n012.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sat Sep 5 16:11:44 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.95/1.23 % SZS status Theorem
% 0.95/1.23 % SZS output start Proof
% 0.95/1.23 tff(p104_type, type, (
% 0.95/1.23 p104: $i > $o)).
% 0.95/1.23 tff(tptp_fun_Y_11_type, type, (
% 0.95/1.23 tptp_fun_Y_11: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_4_type, type, (
% 0.95/1.23 tptp_fun_X_4: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_15_type, type, (
% 0.95/1.23 tptp_fun_Y_15: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_7_type, type, (
% 0.95/1.23 tptp_fun_X_7: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_29_type, type, (
% 0.95/1.23 tptp_fun_Y_29: $i)).
% 0.95/1.23 tff(p103_type, type, (
% 0.95/1.23 p103: $i > $o)).
% 0.95/1.23 tff(r1_type, type, (
% 0.95/1.23 r1: ( $i * $i ) > $o)).
% 0.95/1.23 tff(p1_type, type, (
% 0.95/1.23 p1: $i > $o)).
% 0.95/1.23 tff(p100_type, type, (
% 0.95/1.23 p100: $i > $o)).
% 0.95/1.23 tff(p101_type, type, (
% 0.95/1.23 p101: $i > $o)).
% 0.95/1.23 tff(p2_type, type, (
% 0.95/1.23 p2: $i > $o)).
% 0.95/1.23 tff(p102_type, type, (
% 0.95/1.23 p102: $i > $o)).
% 0.95/1.23 tff(p3_type, type, (
% 0.95/1.23 p3: $i > $o)).
% 0.95/1.23 tff(p4_type, type, (
% 0.95/1.23 p4: $i > $o)).
% 0.95/1.23 tff(p5_type, type, (
% 0.95/1.23 p5: $i > $o)).
% 0.95/1.23 tff(p105_type, type, (
% 0.95/1.23 p105: $i > $o)).
% 0.95/1.23 tff(p6_type, type, (
% 0.95/1.23 p6: $i > $o)).
% 0.95/1.23 tff(tptp_fun_X_9_type, type, (
% 0.95/1.23 tptp_fun_X_9: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_10_type, type, (
% 0.95/1.23 tptp_fun_X_10: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_8_type, type, (
% 0.95/1.23 tptp_fun_X_8: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_5_type, type, (
% 0.95/1.23 tptp_fun_X_5: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_6_type, type, (
% 0.95/1.23 tptp_fun_X_6: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_3_type, type, (
% 0.95/1.23 tptp_fun_X_3: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_2_type, type, (
% 0.95/1.23 tptp_fun_X_2: $i > $i)).
% 0.95/1.23 tff(tptp_fun_X_1_type, type, (
% 0.95/1.23 tptp_fun_X_1: $i > $i)).
% 0.95/1.23 tff(p106_type, type, (
% 0.95/1.23 p106: $i > $o)).
% 0.95/1.23 tff(tptp_fun_X_0_type, type, (
% 0.95/1.23 tptp_fun_X_0: $i)).
% 0.95/1.23 tff(tptp_fun_Y_30_type, type, (
% 0.95/1.23 tptp_fun_Y_30: $i)).
% 0.95/1.23 tff(tptp_fun_Y_28_type, type, (
% 0.95/1.23 tptp_fun_Y_28: $i)).
% 0.95/1.23 tff(tptp_fun_Y_27_type, type, (
% 0.95/1.23 tptp_fun_Y_27: $i)).
% 0.95/1.23 tff(tptp_fun_Y_26_type, type, (
% 0.95/1.23 tptp_fun_Y_26: $i)).
% 0.95/1.23 tff(tptp_fun_Y_25_type, type, (
% 0.95/1.23 tptp_fun_Y_25: $i)).
% 0.95/1.23 tff(tptp_fun_Y_24_type, type, (
% 0.95/1.23 tptp_fun_Y_24: $i)).
% 0.95/1.23 tff(tptp_fun_Y_23_type, type, (
% 0.95/1.23 tptp_fun_Y_23: $i)).
% 0.95/1.23 tff(tptp_fun_Y_22_type, type, (
% 0.95/1.23 tptp_fun_Y_22: $i)).
% 0.95/1.23 tff(tptp_fun_Y_21_type, type, (
% 0.95/1.23 tptp_fun_Y_21: $i)).
% 0.95/1.23 tff(tptp_fun_Y_20_type, type, (
% 0.95/1.23 tptp_fun_Y_20: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_19_type, type, (
% 0.95/1.23 tptp_fun_Y_19: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_18_type, type, (
% 0.95/1.23 tptp_fun_Y_18: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_17_type, type, (
% 0.95/1.23 tptp_fun_Y_17: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_16_type, type, (
% 0.95/1.23 tptp_fun_Y_16: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_14_type, type, (
% 0.95/1.23 tptp_fun_Y_14: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_13_type, type, (
% 0.95/1.23 tptp_fun_Y_13: $i > $i)).
% 0.95/1.23 tff(tptp_fun_Y_12_type, type, (
% 0.95/1.23 tptp_fun_Y_12: $i > $i)).
% 0.95/1.23 tff(1,plain,
% 0.95/1.23 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~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] : (p3(Y) | (~r1(X, 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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~p101(X!0)) & p100(X!0))),
% 0.95/1.24 inference(rewrite,[status(thm)],[])).
% 0.95/1.24 tff(2,plain,
% 0.95/1.24 ((![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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & (((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24)))))) | (~((~p104(X!0)) & p103(X!0)))) & (((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26)))))) | (~((~p103(X!0)) & p102(X!0)))) & (((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28)))))) | (~((~p102(X!0)) & p101(X!0)))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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] : ((~r1(X!0, Y)) | p5(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] : (p3(Y) | (~r1(X!0, 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))))) & (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))) & (~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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~p101(X!0)) & p100(X!0))),
% 0.95/1.25 inference(rewrite,[status(thm)],[])).
% 0.95/1.25 tff(3,plain,
% 0.95/1.25 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & (((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24)))))) | (~((~p104(X!0)) & p103(X!0)))) & (((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26)))))) | (~((~p103(X!0)) & p102(X!0)))) & (((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28)))))) | (~((~p102(X!0)) & p101(X!0)))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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] : ((~r1(X!0, Y)) | p5(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] : (p3(Y) | (~r1(X!0, 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))))) & (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))) & (~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] : (p3(Y) | (~r1(X, 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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~p101(X!0)) & p100(X!0)))),
% 0.95/1.25 inference(monotonicity,[status(thm)],[2])).
% 0.95/1.25 tff(4,plain,
% 0.95/1.25 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & (((~((~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)))) & ((~((~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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | ((((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y))))))) | (~((~p105(Y)) & p104(Y)))) & (((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y))))))) | (~((~p104(Y)) & p103(Y)))) & (((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y))))))) | (~((~p103(Y)) & p102(Y)))) & (((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y))))))) | (~((~p102(Y)) & p101(Y)))) & (((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y))))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & (((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24)))))) | (~((~p104(X!0)) & p103(X!0)))) & (((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26)))))) | (~((~p103(X!0)) & p102(X!0)))) & (((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28)))))) | (~((~p102(X!0)) & p101(X!0)))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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] : ((~r1(X!0, Y)) | p5(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] : (p3(Y) | (~r1(X!0, 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))))) & (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))) & (~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] : (p3(Y) | (~r1(X, 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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~p101(X!0)) & p100(X!0))),
% 0.95/1.26 inference(transitivity,[status(thm)],[3, 1])).
% 0.95/1.26 tff(5,plain,
% 0.95/1.26 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))),
% 0.95/1.26 inference(rewrite,[status(thm)],[])).
% 0.95/1.26 tff(6,plain,
% 0.95/1.26 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))),
% 0.95/1.27 inference(rewrite,[status(thm)],[])).
% 0.95/1.27 tff(7,plain,
% 0.95/1.27 ((~?[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)) | p3(Y))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(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)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))) & (((~![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)) | (~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)))) & (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] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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))))))),
% 0.95/1.28 inference(rewrite,[status(thm)],[])).
% 0.95/1.28 tff(8,plain,
% 0.95/1.28 ((~(~?[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)) | p3(Y))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(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)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))) & (((~![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)) | (~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)))) & (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] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))))),
% 0.95/1.28 inference(monotonicity,[status(thm)],[7])).
% 0.95/1.28 tff(9,plain,
% 0.95/1.28 ((~(~?[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)) | p3(Y))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(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)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))) & (((~![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)) | (~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)))) & (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] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))),
% 0.95/1.29 inference(transitivity,[status(thm)],[8, 6])).
% 0.95/1.29 tff(10,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)) | p3(Y))))))) | (~(((((((((((((((((((((((![Y: $i] : ((~r1(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)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)) | (~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)))) & (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, Y)) | (((((((((((((((((((~![X: $i] : ((~r1(Y, X)) | (~(((~p6(X)) & (~p106(X))) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p6(X) & (~p106(X))) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p5(X)) & (~p105(X))) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p5(X) & (~p105(X))) & p104(X)))))) | (~((~p104(Y)) & p103(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p4(X)) & (~p104(X))) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p4(X) & (~p104(X))) & p103(X)))))) | (~((~p103(Y)) & p102(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p3(X)) & (~p103(X))) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p3(X) & (~p103(X))) & p102(X)))))) | (~((~p102(Y)) & p101(Y))))) & (((~![X: $i] : ((~r1(Y, X)) | (~(((~p2(X)) & (~p102(X))) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~((p2(X) & (~p102(X))) & p101(X)))))) | (~((~p101(Y)) & p100(Y))))) & (((![X: $i] : (((~r1(Y, X)) | (~p6(X))) | (~p105(X))) | p6(Y)) & (![X: $i] : (((~r1(Y, X)) | p6(X)) | (~p105(X))) | (~p6(Y)))) | (~p105(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p5(X))) | (~p104(X))) | p5(Y)) & (![X: $i] : (((~r1(Y, X)) | p5(X)) | (~p104(X))) | (~p5(Y)))) | (~p104(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p4(X))) | (~p103(X))) | p4(Y)) & (![X: $i] : (((~r1(Y, X)) | p4(X)) | (~p103(X))) | (~p4(Y)))) | (~p103(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p3(X))) | (~p102(X))) | p3(Y)) & (![X: $i] : (((~r1(Y, X)) | p3(X)) | (~p102(X))) | (~p3(Y)))) | (~p102(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p2(X))) | (~p101(X))) | p2(Y)) & (![X: $i] : (((~r1(Y, X)) | p2(X)) | (~p101(X))) | (~p2(Y)))) | (~p101(Y)))) & (((![X: $i] : (((~r1(Y, X)) | (~p1(X))) | (~p100(X))) | p1(Y)) & (![X: $i] : (((~r1(Y, X)) | p1(X)) | (~p100(X))) | (~p1(Y)))) | (~p100(Y)))) & (p105(Y) | (~p106(Y)))) & (p104(Y) | (~p105(Y)))) & (p103(Y) | (~p104(Y)))) & (p102(Y) | (~p103(Y)))) & (p101(Y) | (~p102(Y)))) & (p100(Y) | (~p101(Y)))))) & (((~![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)) | (~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)))) & (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/sandbox2/benchmark/theBenchmark.p','main')).
% 0.95/1.29 tff(11,plain,
% 0.95/1.29 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))),
% 0.95/1.29 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.95/1.29 tff(12,plain,
% 0.95/1.29 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~(![Y: $i] : ((~r1(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)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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, Y)) | ((((~![X: $i] : ((~r1(Y, X)) | (~((~p6(X)) & (~p106(X)) & p105(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p6(X) & (~p106(X)) & p105(X)))))) | (~((~p105(Y)) & p104(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p5(X)) & (~p105(X)) & p104(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p5(X) & (~p105(X)) & p104(X)))))) | (~((~p104(Y)) & p103(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p4(X)) & (~p104(X)) & p103(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p4(X) & (~p104(X)) & p103(X)))))) | (~((~p103(Y)) & p102(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p3(X)) & (~p103(X)) & p102(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p3(X) & (~p103(X)) & p102(X)))))) | (~((~p102(Y)) & p101(Y)))) & (((~![X: $i] : ((~r1(Y, X)) | (~((~p2(X)) & (~p102(X)) & p101(X))))) & (~![X: $i] : ((~r1(Y, X)) | (~(p2(X) & (~p102(X)) & p101(X)))))) | (~((~p101(Y)) & p100(Y)))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X)) & p104(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p6(Y)) & (~p106(Y)) & p105(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p6(Y) & (~p106(Y)) & p105(Y))))))) & (((~![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)))) & ((~((~p101(X)) & p100(X))) | ((~![Y: $i] : ((~r1(X, Y)) | (~((~p2(Y)) & (~p102(Y)) & p101(Y))))) & (~![Y: $i] : ((~r1(X, Y)) | (~(p2(Y) & (~p102(Y)) & p101(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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)))))),
% 1.05/1.30 inference(modus_ponens,[status(thm)],[11, 5])).
% 1.05/1.30 tff(13,plain,
% 1.05/1.30 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) & ((~((~p105(X!0)) & p104(X!0))) | ((~((~r1(X!0, Y!21)) | (~((~p6(Y!21)) & (~p106(Y!21)) & p105(Y!21))))) & (~((~r1(X!0, Y!22)) | (~(p6(Y!22) & (~p106(Y!22)) & p105(Y!22))))))) & ((~((~p104(X!0)) & p103(X!0))) | ((~((~r1(X!0, Y!23)) | (~((~p5(Y!23)) & (~p105(Y!23)) & p104(Y!23))))) & (~((~r1(X!0, Y!24)) | (~(p5(Y!24) & (~p105(Y!24)) & p104(Y!24))))))) & ((~((~p103(X!0)) & p102(X!0))) | ((~((~r1(X!0, Y!25)) | (~((~p4(Y!25)) & (~p104(Y!25)) & p103(Y!25))))) & (~((~r1(X!0, Y!26)) | (~(p4(Y!26) & (~p104(Y!26)) & p103(Y!26))))))) & ((~((~p102(X!0)) & p101(X!0))) | ((~((~r1(X!0, Y!27)) | (~((~p3(Y!27)) & (~p103(Y!27)) & p102(Y!27))))) & (~((~r1(X!0, Y!28)) | (~(p3(Y!28) & (~p103(Y!28)) & p102(Y!28))))))) & ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) & ((~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)))))) & (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))) & (~p101(X!0)) & p100(X!0)),
% 1.05/1.30 inference(modus_ponens,[status(thm)],[12, 4])).
% 1.05/1.30 tff(14,plain,
% 1.05/1.30 (~p101(X!0)),
% 1.05/1.30 inference(and_elim,[status(thm)],[13])).
% 1.05/1.30 tff(15,plain,
% 1.05/1.30 (p100(X!0)),
% 1.05/1.30 inference(and_elim,[status(thm)],[13])).
% 1.05/1.30 tff(16,plain,
% 1.05/1.30 (((p101(X!0) | (~p100(X!0))) | (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))))) <=> ((~p100(X!0)) | p101(X!0) | (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30)))))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(17,plain,
% 1.05/1.30 (((~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~p101(Y!29)))) & (~((~r1(X!0, Y!30)) | p102(Y!30) | (~p2(Y!30)) | (~p101(Y!30))))) <=> (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(18,plain,
% 1.05/1.30 ((~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))) <=> (~((~r1(X!0, Y!30)) | p102(Y!30) | (~p2(Y!30)) | (~p101(Y!30))))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(19,plain,
% 1.05/1.30 ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) <=> (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~p101(Y!29))))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(20,plain,
% 1.05/1.30 (((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30)))))) <=> ((~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~p101(Y!29)))) & (~((~r1(X!0, Y!30)) | p102(Y!30) | (~p2(Y!30)) | (~p101(Y!30)))))),
% 1.05/1.30 inference(monotonicity,[status(thm)],[19, 18])).
% 1.05/1.30 tff(21,plain,
% 1.05/1.30 (((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30)))))) <=> (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))))),
% 1.05/1.30 inference(transitivity,[status(thm)],[20, 17])).
% 1.05/1.30 tff(22,plain,
% 1.05/1.30 ((~(~(p101(X!0) | (~p100(X!0))))) <=> (p101(X!0) | (~p100(X!0)))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(23,plain,
% 1.05/1.30 (((~p101(X!0)) & p100(X!0)) <=> (~(p101(X!0) | (~p100(X!0))))),
% 1.05/1.30 inference(rewrite,[status(thm)],[])).
% 1.05/1.30 tff(24,plain,
% 1.05/1.30 ((~((~p101(X!0)) & p100(X!0))) <=> (~(~(p101(X!0) | (~p100(X!0)))))),
% 1.05/1.30 inference(monotonicity,[status(thm)],[23])).
% 1.05/1.30 tff(25,plain,
% 1.05/1.30 ((~((~p101(X!0)) & p100(X!0))) <=> (p101(X!0) | (~p100(X!0)))),
% 1.05/1.30 inference(transitivity,[status(thm)],[24, 22])).
% 1.05/1.30 tff(26,plain,
% 1.05/1.30 (((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) <=> ((p101(X!0) | (~p100(X!0))) | (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30)))))),
% 1.05/1.30 inference(monotonicity,[status(thm)],[25, 21])).
% 1.05/1.30 tff(27,plain,
% 1.05/1.30 (((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))) <=> ((~p100(X!0)) | p101(X!0) | (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30)))))),
% 1.05/1.30 inference(transitivity,[status(thm)],[26, 16])).
% 1.05/1.30 tff(28,plain,
% 1.05/1.30 ((~((~p101(X!0)) & p100(X!0))) | ((~((~r1(X!0, Y!29)) | (~((~p2(Y!29)) & (~p102(Y!29)) & p101(Y!29))))) & (~((~r1(X!0, Y!30)) | (~(p2(Y!30) & (~p102(Y!30)) & p101(Y!30))))))),
% 1.05/1.30 inference(and_elim,[status(thm)],[13])).
% 1.05/1.30 tff(29,plain,
% 1.05/1.30 ((~p100(X!0)) | p101(X!0) | (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))))),
% 1.05/1.30 inference(modus_ponens,[status(thm)],[28, 27])).
% 1.05/1.30 tff(30,plain,
% 1.05/1.30 (~((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30)))),
% 1.05/1.30 inference(unit_resolution,[status(thm)],[29, 15, 14])).
% 1.05/1.30 tff(31,plain,
% 1.05/1.30 (((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))) | r1(X!0, Y!29)),
% 1.05/1.30 inference(tautology,[status(thm)],[])).
% 1.05/1.30 tff(32,plain,
% 1.05/1.30 (r1(X!0, Y!29)),
% 1.05/1.30 inference(unit_resolution,[status(thm)],[31, 30])).
% 1.05/1.30 tff(33,plain,
% 1.05/1.30 (^[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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))))),
% 1.05/1.30 inference(bind,[status(th)],[])).
% 1.05/1.30 tff(34,plain,
% 1.05/1.30 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 1.05/1.30 inference(quant_intro,[status(thm)],[33])).
% 1.05/1.30 tff(35,plain,
% 1.05/1.30 (^[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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 1.05/1.30 inference(bind,[status(th)],[])).
% 1.05/1.30 tff(36,plain,
% 1.05/1.30 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.30 inference(quant_intro,[status(thm)],[35])).
% 1.05/1.30 tff(37,plain,
% 1.05/1.30 (^[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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 1.05/1.31 inference(bind,[status(th)],[])).
% 1.05/1.31 tff(38,plain,
% 1.05/1.31 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.31 inference(quant_intro,[status(thm)],[37])).
% 1.05/1.31 tff(39,plain,
% 1.05/1.31 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.31 inference(transitivity,[status(thm)],[38, 36])).
% 1.05/1.31 tff(40,plain,
% 1.05/1.31 (^[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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))))),
% 1.05/1.31 inference(bind,[status(th)],[])).
% 1.05/1.31 tff(41,plain,
% 1.05/1.31 (![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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.31 inference(quant_intro,[status(thm)],[40])).
% 1.05/1.31 tff(42,plain,
% 1.05/1.31 (![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)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y)))))))))),
% 1.05/1.31 inference(and_elim,[status(thm)],[13])).
% 1.05/1.31 tff(43,plain,
% 1.05/1.31 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.31 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.05/1.31 tff(44,plain,
% 1.05/1.31 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))))),
% 1.05/1.31 inference(modus_ponens,[status(thm)],[43, 39])).
% 1.05/1.31 tff(45,plain,
% 1.05/1.31 (![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 1.05/1.31 inference(modus_ponens,[status(thm)],[44, 34])).
% 1.05/1.31 tff(46,plain,
% 1.05/1.31 (((~![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 1.05/1.31 inference(rewrite,[status(thm)],[])).
% 1.05/1.31 tff(47,plain,
% 1.05/1.31 ((~![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))),
% 1.05/1.31 inference(quant_inst,[status(thm)],[])).
% 1.05/1.31 tff(48,plain,
% 1.05/1.31 ((~![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)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 1.05/1.31 inference(modus_ponens,[status(thm)],[47, 46])).
% 1.05/1.31 tff(49,plain,
% 1.05/1.31 (![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 1.05/1.31 inference(unit_resolution,[status(thm)],[48, 45, 32])).
% 1.05/1.31 tff(50,plain,
% 1.05/1.31 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.32 inference(bind,[status(th)],[])).
% 1.05/1.32 tff(51,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.05/1.32 inference(quant_intro,[status(thm)],[50])).
% 1.05/1.32 tff(52,plain,
% 1.05/1.32 (^[Y: $i] : refl(((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))),
% 1.05/1.32 inference(bind,[status(th)],[])).
% 1.05/1.32 tff(53,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(quant_intro,[status(thm)],[52])).
% 1.05/1.32 tff(54,plain,
% 1.05/1.32 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))),
% 1.05/1.32 inference(bind,[status(th)],[])).
% 1.05/1.32 tff(55,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(quant_intro,[status(thm)],[54])).
% 1.05/1.32 tff(56,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(transitivity,[status(thm)],[55, 53])).
% 1.05/1.32 tff(57,plain,
% 1.05/1.32 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) <=> ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))),
% 1.05/1.32 inference(bind,[status(th)],[])).
% 1.05/1.32 tff(58,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(quant_intro,[status(thm)],[57])).
% 1.05/1.32 tff(59,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y)))))),
% 1.05/1.32 inference(and_elim,[status(thm)],[13])).
% 1.05/1.32 tff(60,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(modus_ponens,[status(thm)],[59, 58])).
% 1.05/1.32 tff(61,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))),
% 1.05/1.32 inference(modus_ponens,[status(thm)],[60, 56])).
% 1.05/1.32 tff(62,plain,
% 1.05/1.32 (![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.05/1.32 inference(modus_ponens,[status(thm)],[61, 51])).
% 1.05/1.32 tff(63,plain,
% 1.05/1.32 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X))))))))))))),
% 1.05/1.33 inference(rewrite,[status(thm)],[])).
% 1.05/1.33 tff(64,plain,
% 1.05/1.33 (((~r1(X!0, Y!29)) | (~((~(p105(Y!29) | (~p104(Y!29)) | (~((~r1(Y!29, tptp_fun_X_2(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_1(Y!29)) | p106(tptp_fun_X_2(Y!29)) | (~p105(tptp_fun_X_1(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~r1(Y!29, tptp_fun_X_4(Y!29))) | p105(tptp_fun_X_4(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_3(Y!29)) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~r1(Y!29, tptp_fun_X_5(Y!29))) | p4(tptp_fun_X_5(Y!29)) | p104(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~p103(tptp_fun_X_6(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~r1(Y!29, tptp_fun_X_7(Y!29))) | p3(tptp_fun_X_7(Y!29)) | p103(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~p102(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p3(tptp_fun_X_8(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~r1(Y!29, tptp_fun_X_9(Y!29))) | p2(tptp_fun_X_9(Y!29)) | p102(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~p101(tptp_fun_X_9(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_10(Y!29))))))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p100(Y!29) | (~p101(Y!29)))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~r1(Y!29, X)) | (~p102(X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | p1(X))))))))))) <=> ((~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X))))))))))))),
% 1.05/1.33 inference(rewrite,[status(thm)],[])).
% 1.05/1.33 tff(65,plain,
% 1.05/1.33 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, Y!29)) | (~((~(p105(Y!29) | (~p104(Y!29)) | (~((~r1(Y!29, tptp_fun_X_2(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_1(Y!29)) | p106(tptp_fun_X_2(Y!29)) | (~p105(tptp_fun_X_1(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~r1(Y!29, tptp_fun_X_4(Y!29))) | p105(tptp_fun_X_4(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_3(Y!29)) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~r1(Y!29, tptp_fun_X_5(Y!29))) | p4(tptp_fun_X_5(Y!29)) | p104(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~p103(tptp_fun_X_6(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~r1(Y!29, tptp_fun_X_7(Y!29))) | p3(tptp_fun_X_7(Y!29)) | p103(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~p102(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p3(tptp_fun_X_8(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~r1(Y!29, tptp_fun_X_9(Y!29))) | p2(tptp_fun_X_9(Y!29)) | p102(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~p101(tptp_fun_X_9(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_10(Y!29))))))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p100(Y!29) | (~p101(Y!29)))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~r1(Y!29, X)) | (~p102(X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X)))))))))))))),
% 1.05/1.33 inference(monotonicity,[status(thm)],[64])).
% 1.05/1.33 tff(66,plain,
% 1.05/1.33 (((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, Y!29)) | (~((~(p105(Y!29) | (~p104(Y!29)) | (~((~r1(Y!29, tptp_fun_X_2(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_1(Y!29)) | p106(tptp_fun_X_2(Y!29)) | (~p105(tptp_fun_X_1(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~r1(Y!29, tptp_fun_X_4(Y!29))) | p105(tptp_fun_X_4(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_3(Y!29)) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~r1(Y!29, tptp_fun_X_5(Y!29))) | p4(tptp_fun_X_5(Y!29)) | p104(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~p103(tptp_fun_X_6(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~r1(Y!29, tptp_fun_X_7(Y!29))) | p3(tptp_fun_X_7(Y!29)) | p103(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~p102(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p3(tptp_fun_X_8(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~r1(Y!29, tptp_fun_X_9(Y!29))) | p2(tptp_fun_X_9(Y!29)) | p102(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~p101(tptp_fun_X_9(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_10(Y!29))))))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p100(Y!29) | (~p101(Y!29)))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~r1(Y!29, X)) | (~p102(X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X))))))))))))),
% 1.05/1.33 inference(transitivity,[status(thm)],[65, 63])).
% 1.05/1.33 tff(67,plain,
% 1.05/1.33 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(X!0, Y!29)) | (~((~(p105(Y!29) | (~p104(Y!29)) | (~((~r1(Y!29, tptp_fun_X_2(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_1(Y!29)) | p106(tptp_fun_X_2(Y!29)) | (~p105(tptp_fun_X_1(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~r1(Y!29, tptp_fun_X_4(Y!29))) | p105(tptp_fun_X_4(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_3(Y!29)) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~r1(Y!29, tptp_fun_X_5(Y!29))) | p4(tptp_fun_X_5(Y!29)) | p104(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~p103(tptp_fun_X_6(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~r1(Y!29, tptp_fun_X_7(Y!29))) | p3(tptp_fun_X_7(Y!29)) | p103(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~p102(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p3(tptp_fun_X_8(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~r1(Y!29, tptp_fun_X_9(Y!29))) | p2(tptp_fun_X_9(Y!29)) | p102(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~p101(tptp_fun_X_9(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_10(Y!29))))))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p100(Y!29) | (~p101(Y!29)))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~r1(Y!29, X)) | (~p102(X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.05/1.33 inference(quant_inst,[status(thm)],[])).
% 1.05/1.33 tff(68,plain,
% 1.05/1.33 ((~![Y: $i] : ((~r1(X!0, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(X!0, Y!29)) | (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X)))))))))))),
% 1.05/1.34 inference(modus_ponens,[status(thm)],[67, 66])).
% 1.05/1.34 tff(69,plain,
% 1.05/1.34 (~((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X))))))))))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[68, 62, 32])).
% 1.05/1.34 tff(70,plain,
% 1.05/1.34 (((~(p100(Y!29) | (~p101(Y!29)))) | (~(p101(Y!29) | (~p102(Y!29)))) | (~(p102(Y!29) | (~p103(Y!29)))) | (~(p103(Y!29) | (~p104(Y!29)))) | (~(p104(Y!29) | (~p105(Y!29)))) | (~(p105(Y!29) | (~p106(Y!29)))) | (~(p105(Y!29) | (~p104(Y!29)) | (~((~p105(tptp_fun_X_2(Y!29))) | (~p6(tptp_fun_X_2(Y!29))) | (~p105(tptp_fun_X_1(Y!29))) | p106(tptp_fun_X_2(Y!29)) | p106(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_1(Y!29))) | p6(tptp_fun_X_1(Y!29)) | (~r1(Y!29, tptp_fun_X_2(Y!29))))))) | (~(p104(Y!29) | (~p103(Y!29)) | (~((~p104(tptp_fun_X_4(Y!29))) | (~p5(tptp_fun_X_4(Y!29))) | (~p104(tptp_fun_X_3(Y!29))) | (~r1(Y!29, tptp_fun_X_3(Y!29))) | p105(tptp_fun_X_3(Y!29)) | p5(tptp_fun_X_3(Y!29)) | p105(tptp_fun_X_4(Y!29)) | (~r1(Y!29, tptp_fun_X_4(Y!29))))))) | (~(p103(Y!29) | (~p102(Y!29)) | (~((~p103(tptp_fun_X_5(Y!29))) | (~p4(tptp_fun_X_6(Y!29))) | (~p103(tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_6(Y!29)) | (~r1(Y!29, tptp_fun_X_6(Y!29))) | p104(tptp_fun_X_5(Y!29)) | p4(tptp_fun_X_5(Y!29)) | (~r1(Y!29, tptp_fun_X_5(Y!29))))))) | (~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~(p101(Y!29) | (~p100(Y!29)) | (~((~p101(tptp_fun_X_10(Y!29))) | (~p2(tptp_fun_X_10(Y!29))) | (~p101(tptp_fun_X_9(Y!29))) | p102(tptp_fun_X_10(Y!29)) | (~r1(Y!29, tptp_fun_X_10(Y!29))) | p102(tptp_fun_X_9(Y!29)) | p2(tptp_fun_X_9(Y!29)) | (~r1(Y!29, tptp_fun_X_9(Y!29))))))) | (~((~p105(Y!29)) | (~((~(p6(Y!29) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(Y!29, X))))) | (~((~p6(Y!29)) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(Y!29, X))))))))) | (~((~p104(Y!29)) | (~((~(p5(Y!29) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(Y!29, X))))) | (~((~p5(Y!29)) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(Y!29, X))))))))) | (~((~p103(Y!29)) | (~((~(p4(Y!29) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(Y!29, X))))) | (~((~p4(Y!29)) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(Y!29, X))))))))) | (~((~p102(Y!29)) | (~((~(p3(Y!29) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(Y!29, X))))) | (~((~p3(Y!29)) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(Y!29, X))))))))) | (~((~p101(Y!29)) | (~((~(p2(Y!29) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(Y!29, X))))) | (~((~p2(Y!29)) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(Y!29, X))))))))) | (~((~p100(Y!29)) | (~((~(p1(Y!29) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(Y!29, X))))) | (~((~p1(Y!29)) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(Y!29, X)))))))))) | (p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))),
% 1.05/1.34 inference(tautology,[status(thm)],[])).
% 1.05/1.34 tff(71,plain,
% 1.05/1.34 (p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[70, 69])).
% 1.05/1.34 tff(72,plain,
% 1.05/1.34 (((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))) | p101(Y!29)),
% 1.05/1.34 inference(tautology,[status(thm)],[])).
% 1.05/1.34 tff(73,plain,
% 1.05/1.34 (p101(Y!29)),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[72, 30])).
% 1.05/1.34 tff(74,plain,
% 1.05/1.34 (((~r1(X!0, Y!29)) | p2(Y!29) | p102(Y!29) | (~r1(X!0, Y!30)) | p102(Y!30) | (~p101(Y!29)) | (~p2(Y!30)) | (~p101(Y!30))) | (~p102(Y!29))),
% 1.05/1.34 inference(tautology,[status(thm)],[])).
% 1.05/1.34 tff(75,plain,
% 1.05/1.34 (~p102(Y!29)),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[74, 30])).
% 1.05/1.34 tff(76,plain,
% 1.05/1.34 ((~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))))),
% 1.05/1.34 inference(tautology,[status(thm)],[])).
% 1.05/1.34 tff(77,plain,
% 1.05/1.34 ((~(p102(Y!29) | (~p101(Y!29)) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))))) | (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[76, 75, 73])).
% 1.05/1.34 tff(78,plain,
% 1.05/1.34 (~((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29))))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[77, 71])).
% 1.05/1.34 tff(79,plain,
% 1.05/1.34 (((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))) | r1(Y!29, tptp_fun_X_7(Y!29))),
% 1.05/1.34 inference(tautology,[status(thm)],[])).
% 1.05/1.34 tff(80,plain,
% 1.05/1.34 (r1(Y!29, tptp_fun_X_7(Y!29))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[79, 78])).
% 1.05/1.34 tff(81,plain,
% 1.05/1.34 (((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | ((~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 1.05/1.34 inference(rewrite,[status(thm)],[])).
% 1.05/1.34 tff(82,plain,
% 1.05/1.34 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | ((~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 1.05/1.34 inference(quant_inst,[status(thm)],[])).
% 1.05/1.34 tff(83,plain,
% 1.05/1.34 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.34 inference(modus_ponens,[status(thm)],[82, 81])).
% 1.05/1.34 tff(84,plain,
% 1.05/1.34 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.34 inference(unit_resolution,[status(thm)],[83, 80, 49])).
% 1.05/1.34 tff(85,plain,
% 1.05/1.34 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.05/1.34 inference(bind,[status(th)],[])).
% 1.05/1.34 tff(86,plain,
% 1.05/1.34 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.34 inference(quant_intro,[status(thm)],[85])).
% 1.05/1.34 tff(87,plain,
% 1.05/1.34 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.05/1.35 inference(bind,[status(th)],[])).
% 1.05/1.35 tff(88,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(quant_intro,[status(thm)],[87])).
% 1.05/1.35 tff(89,plain,
% 1.05/1.35 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.05/1.35 inference(bind,[status(th)],[])).
% 1.05/1.35 tff(90,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(quant_intro,[status(thm)],[89])).
% 1.05/1.35 tff(91,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(transitivity,[status(thm)],[90, 88])).
% 1.05/1.35 tff(92,plain,
% 1.05/1.35 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.05/1.35 inference(bind,[status(th)],[])).
% 1.05/1.35 tff(93,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(quant_intro,[status(thm)],[92])).
% 1.05/1.35 tff(94,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X))))))),
% 1.05/1.35 inference(and_elim,[status(thm)],[13])).
% 1.05/1.35 tff(95,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(modus_ponens,[status(thm)],[94, 93])).
% 1.05/1.35 tff(96,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(modus_ponens,[status(thm)],[95, 91])).
% 1.05/1.35 tff(97,plain,
% 1.05/1.35 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(modus_ponens,[status(thm)],[96, 86])).
% 1.05/1.35 tff(98,plain,
% 1.05/1.35 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.05/1.35 inference(rewrite,[status(thm)],[])).
% 1.05/1.35 tff(99,plain,
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% 1.05/1.36 inference(quant_inst,[status(thm)],[])).
% 1.05/1.36 tff(100,plain,
% 1.05/1.36 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))),
% 1.05/1.36 inference(modus_ponens,[status(thm)],[99, 98])).
% 1.05/1.36 tff(101,plain,
% 1.05/1.36 (![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))),
% 1.05/1.36 inference(unit_resolution,[status(thm)],[100, 97, 32])).
% 1.05/1.36 tff(102,plain,
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(~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | 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p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y))))))))))))) <=> ((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | 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![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y))))))))))))),
% 1.05/1.36 inference(rewrite,[status(thm)],[])).
% 1.05/1.36 tff(103,plain,
% 1.05/1.36 (((~r1(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_7(Y!29), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | p1(Y))))))))))) <=> ((~r1(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y))))))))))))),
% 1.05/1.36 inference(rewrite,[status(thm)],[])).
% 1.05/1.36 tff(104,plain,
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(~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | 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(~r1(tptp_fun_X_7(Y!29), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | 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(~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y)))))))))))))),
% 1.05/1.37 inference(monotonicity,[status(thm)],[103])).
% 1.05/1.37 tff(105,plain,
% 1.05/1.37 (((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_7(Y!29), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y))))))))))))),
% 1.05/1.37 inference(transitivity,[status(thm)],[104, 102])).
% 1.05/1.37 tff(106,plain,
% 1.05/1.37 ((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_7(Y!29), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.05/1.37 inference(quant_inst,[status(thm)],[])).
% 1.05/1.37 tff(107,plain,
% 1.05/1.37 ((~![X: $i] : ((~r1(Y!29, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y)))))))))))),
% 1.05/1.37 inference(modus_ponens,[status(thm)],[106, 105])).
% 1.05/1.37 tff(108,plain,
% 1.05/1.37 (~((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y))))))))))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[107, 80, 101])).
% 1.05/1.37 tff(109,plain,
% 1.05/1.37 (((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y)))))))))) | (p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.05/1.37 inference(tautology,[status(thm)],[])).
% 1.05/1.37 tff(110,plain,
% 1.05/1.37 (p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[109, 108])).
% 1.05/1.37 tff(111,plain,
% 1.05/1.37 (((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_7(Y!29)))),
% 1.05/1.37 inference(tautology,[status(thm)],[])).
% 1.05/1.37 tff(112,plain,
% 1.05/1.37 (~p103(tptp_fun_X_7(Y!29))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[111, 78])).
% 1.05/1.37 tff(113,plain,
% 1.05/1.37 (((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))) | p102(tptp_fun_X_7(Y!29))),
% 1.05/1.37 inference(tautology,[status(thm)],[])).
% 1.05/1.37 tff(114,plain,
% 1.05/1.37 (p102(tptp_fun_X_7(Y!29))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[113, 78])).
% 1.05/1.37 tff(115,plain,
% 1.05/1.37 ((~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.05/1.37 inference(tautology,[status(thm)],[])).
% 1.05/1.37 tff(116,plain,
% 1.05/1.37 ((~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[115, 114, 112])).
% 1.05/1.37 tff(117,plain,
% 1.05/1.37 (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[116, 110])).
% 1.05/1.37 tff(118,plain,
% 1.05/1.37 (((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.05/1.37 inference(tautology,[status(thm)],[])).
% 1.05/1.37 tff(119,plain,
% 1.05/1.37 (r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.05/1.37 inference(unit_resolution,[status(thm)],[118, 117])).
% 1.05/1.37 tff(120,plain,
% 1.05/1.37 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.38 inference(rewrite,[status(thm)],[])).
% 1.05/1.38 tff(121,plain,
% 1.05/1.38 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.38 inference(quant_inst,[status(thm)],[])).
% 1.05/1.38 tff(122,plain,
% 1.05/1.38 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.38 inference(modus_ponens,[status(thm)],[121, 120])).
% 1.05/1.38 tff(123,plain,
% 1.05/1.38 (![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.38 inference(unit_resolution,[status(thm)],[122, 119, 84])).
% 1.05/1.38 tff(124,plain,
% 1.05/1.38 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))))),
% 1.05/1.38 inference(bind,[status(th)],[])).
% 1.05/1.38 tff(125,plain,
% 1.05/1.38 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.38 inference(quant_intro,[status(thm)],[124])).
% 1.05/1.38 tff(126,plain,
% 1.05/1.38 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))),
% 1.05/1.38 inference(bind,[status(th)],[])).
% 1.05/1.38 tff(127,plain,
% 1.05/1.38 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.38 inference(quant_intro,[status(thm)],[126])).
% 1.05/1.38 tff(128,plain,
% 1.05/1.38 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))),
% 1.05/1.38 inference(bind,[status(th)],[])).
% 1.05/1.38 tff(129,plain,
% 1.05/1.38 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.38 inference(quant_intro,[status(thm)],[128])).
% 1.05/1.38 tff(130,plain,
% 1.05/1.38 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.38 inference(transitivity,[status(thm)],[129, 127])).
% 1.05/1.38 tff(131,plain,
% 1.05/1.38 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y))))))))))),
% 1.05/1.39 inference(bind,[status(th)],[])).
% 1.05/1.39 tff(132,plain,
% 1.05/1.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.39 inference(quant_intro,[status(thm)],[131])).
% 1.05/1.39 tff(133,plain,
% 1.05/1.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~((~p105(Y)) & p104(Y))) | ((~((~r1(Y, tptp_fun_X_1(Y))) | (~((~p6(tptp_fun_X_1(Y))) & (~p106(tptp_fun_X_1(Y))) & p105(tptp_fun_X_1(Y)))))) & (~((~r1(Y, tptp_fun_X_2(Y))) | (~(p6(tptp_fun_X_2(Y)) & (~p106(tptp_fun_X_2(Y))) & p105(tptp_fun_X_2(Y)))))))) & ((~((~p104(Y)) & p103(Y))) | ((~((~r1(Y, tptp_fun_X_3(Y))) | (~((~p5(tptp_fun_X_3(Y))) & (~p105(tptp_fun_X_3(Y))) & p104(tptp_fun_X_3(Y)))))) & (~((~r1(Y, tptp_fun_X_4(Y))) | (~(p5(tptp_fun_X_4(Y)) & (~p105(tptp_fun_X_4(Y))) & p104(tptp_fun_X_4(Y)))))))) & ((~((~p103(Y)) & p102(Y))) | ((~((~r1(Y, tptp_fun_X_5(Y))) | (~((~p4(tptp_fun_X_5(Y))) & (~p104(tptp_fun_X_5(Y))) & p103(tptp_fun_X_5(Y)))))) & (~((~r1(Y, tptp_fun_X_6(Y))) | (~(p4(tptp_fun_X_6(Y)) & (~p104(tptp_fun_X_6(Y))) & p103(tptp_fun_X_6(Y)))))))) & ((~((~p102(Y)) & p101(Y))) | ((~((~r1(Y, tptp_fun_X_7(Y))) | (~((~p3(tptp_fun_X_7(Y))) & (~p103(tptp_fun_X_7(Y))) & p102(tptp_fun_X_7(Y)))))) & (~((~r1(Y, tptp_fun_X_8(Y))) | (~(p3(tptp_fun_X_8(Y)) & (~p103(tptp_fun_X_8(Y))) & p102(tptp_fun_X_8(Y)))))))) & ((~((~p101(Y)) & p100(Y))) | ((~((~r1(Y, tptp_fun_X_9(Y))) | (~((~p2(tptp_fun_X_9(Y))) & (~p102(tptp_fun_X_9(Y))) & p101(tptp_fun_X_9(Y)))))) & (~((~r1(Y, tptp_fun_X_10(Y))) | (~(p2(tptp_fun_X_10(Y)) & (~p102(tptp_fun_X_10(Y))) & p101(tptp_fun_X_10(Y)))))))) & ((~p105(Y)) | ((p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X)))) & ((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X)))))) & ((~p104(Y)) | ((p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X)))) & ((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X)))))) & ((~p103(Y)) | ((p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X)))) & ((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X)))))) & ((~p102(Y)) | ((p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X)))) & ((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X)))))) & ((~p101(Y)) | ((p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X)))) & ((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X)))))) & ((~p100(Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X)))) & ((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))) & (p105(Y) | (~p106(Y))) & (p104(Y) | (~p105(Y))) & (p103(Y) | (~p104(Y))) & (p102(Y) | (~p103(Y))) & (p101(Y) | (~p102(Y))) & (p100(Y) | (~p101(Y)))))))),
% 1.05/1.39 inference(and_elim,[status(thm)],[13])).
% 1.05/1.39 tff(134,plain,
% 1.05/1.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.39 inference(modus_ponens,[status(thm)],[133, 132])).
% 1.05/1.39 tff(135,plain,
% 1.05/1.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))))))))),
% 1.05/1.39 inference(modus_ponens,[status(thm)],[134, 130])).
% 1.05/1.39 tff(136,plain,
% 1.05/1.39 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.39 inference(modus_ponens,[status(thm)],[135, 125])).
% 1.05/1.39 tff(137,plain,
% 1.05/1.39 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.39 inference(rewrite,[status(thm)],[])).
% 1.05/1.39 tff(138,plain,
% 1.05/1.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))),
% 1.05/1.39 inference(quant_inst,[status(thm)],[])).
% 1.05/1.39 tff(139,plain,
% 1.05/1.39 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.39 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.05/1.39 tff(140,plain,
% 1.05/1.39 (![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.39 inference(unit_resolution,[status(thm)],[139, 136, 32])).
% 1.05/1.39 tff(141,plain,
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(~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : 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p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.39 inference(rewrite,[status(thm)],[])).
% 1.05/1.39 tff(142,plain,
% 1.05/1.39 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | ((~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.05/1.39 inference(quant_inst,[status(thm)],[])).
% 1.05/1.39 tff(143,plain,
% 1.05/1.39 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.05/1.40 inference(modus_ponens,[status(thm)],[142, 141])).
% 1.15/1.40 tff(144,plain,
% 1.15/1.40 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.15/1.40 inference(unit_resolution,[status(thm)],[143, 80, 140])).
% 1.15/1.40 tff(145,plain,
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| (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))))))),
% 1.15/1.40 inference(rewrite,[status(thm)],[])).
% 1.15/1.40 tff(146,plain,
% 1.15/1.40 (((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | p1(X))))))))))) <=> ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))))))),
% 1.15/1.40 inference(rewrite,[status(thm)],[])).
% 1.15/1.40 tff(147,plain,
% 1.15/1.40 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))))))))),
% 1.15/1.41 inference(monotonicity,[status(thm)],[146])).
% 1.15/1.41 tff(148,plain,
% 1.15/1.41 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))))))),
% 1.15/1.41 inference(transitivity,[status(thm)],[147, 145])).
% 1.15/1.41 tff(149,plain,
% 1.15/1.41 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | 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(~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | 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((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | (~p100(X)) | p1(X)))))))))))),
% 1.15/1.41 inference(quant_inst,[status(thm)],[])).
% 1.15/1.41 tff(150,plain,
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(~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))))))),
% 1.15/1.41 inference(modus_ponens,[status(thm)],[149, 148])).
% 1.15/1.41 tff(151,plain,
% 1.15/1.41 (~((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))))),
% 1.15/1.41 inference(unit_resolution,[status(thm)],[150, 119, 144])).
% 1.15/1.41 tff(152,plain,
% 1.15/1.41 (((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))))) | (p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))),
% 1.15/1.41 inference(tautology,[status(thm)],[])).
% 1.15/1.41 tff(153,plain,
% 1.15/1.41 (p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.41 inference(unit_resolution,[status(thm)],[152, 151])).
% 1.15/1.41 tff(154,plain,
% 1.15/1.41 (((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.41 inference(tautology,[status(thm)],[])).
% 1.15/1.41 tff(155,plain,
% 1.15/1.41 (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.41 inference(unit_resolution,[status(thm)],[154, 117])).
% 1.15/1.41 tff(156,plain,
% 1.15/1.41 (((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.41 inference(tautology,[status(thm)],[])).
% 1.15/1.41 tff(157,plain,
% 1.15/1.41 (p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.41 inference(unit_resolution,[status(thm)],[156, 117])).
% 1.15/1.41 tff(158,plain,
% 1.15/1.41 ((~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.41 inference(tautology,[status(thm)],[])).
% 1.15/1.41 tff(159,plain,
% 1.15/1.41 ((~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.41 inference(unit_resolution,[status(thm)],[158, 157, 155])).
% 1.15/1.41 tff(160,plain,
% 1.15/1.41 (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.42 inference(unit_resolution,[status(thm)],[159, 153])).
% 1.15/1.42 tff(161,plain,
% 1.15/1.42 (((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.42 inference(tautology,[status(thm)],[])).
% 1.15/1.42 tff(162,plain,
% 1.15/1.42 (r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.42 inference(unit_resolution,[status(thm)],[161, 160])).
% 1.15/1.42 tff(163,plain,
% 1.15/1.42 (((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.15/1.42 inference(rewrite,[status(thm)],[])).
% 1.15/1.42 tff(164,plain,
% 1.15/1.42 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))),
% 1.15/1.42 inference(quant_inst,[status(thm)],[])).
% 1.15/1.42 tff(165,plain,
% 1.15/1.42 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X))))))))))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.15/1.42 inference(modus_ponens,[status(thm)],[164, 163])).
% 1.15/1.42 tff(166,plain,
% 1.15/1.42 (![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))),
% 1.15/1.42 inference(unit_resolution,[status(thm)],[165, 162, 123])).
% 1.15/1.42 tff(167,plain,
% 1.15/1.42 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))))),
% 1.15/1.42 inference(bind,[status(th)],[])).
% 1.15/1.42 tff(168,plain,
% 1.15/1.42 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.42 inference(quant_intro,[status(thm)],[167])).
% 1.15/1.42 tff(169,plain,
% 1.15/1.42 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))))),
% 1.15/1.42 inference(bind,[status(th)],[])).
% 1.15/1.42 tff(170,plain,
% 1.15/1.42 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.42 inference(quant_intro,[status(thm)],[169])).
% 1.15/1.42 tff(171,plain,
% 1.15/1.42 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))))),
% 1.15/1.42 inference(bind,[status(th)],[])).
% 1.15/1.42 tff(172,plain,
% 1.15/1.42 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.42 inference(quant_intro,[status(thm)],[171])).
% 1.15/1.42 tff(173,plain,
% 1.15/1.42 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(transitivity,[status(thm)],[172, 170])).
% 1.15/1.43 tff(174,plain,
% 1.15/1.43 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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)))))))))))))))),
% 1.15/1.43 inference(bind,[status(th)],[])).
% 1.15/1.43 tff(175,plain,
% 1.15/1.43 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(quant_intro,[status(thm)],[174])).
% 1.15/1.43 tff(176,plain,
% 1.15/1.43 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))))) & ((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))) & (p105(X) | (~p106(X))) & (p104(X) | (~p105(X))) & (p103(X) | (~p104(X))) & (p102(X) | (~p103(X))) & (p101(X) | (~p102(X))) & (p100(X) | (~p101(X))))))))),
% 1.15/1.43 inference(and_elim,[status(thm)],[13])).
% 1.15/1.43 tff(177,plain,
% 1.15/1.43 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(modus_ponens,[status(thm)],[176, 175])).
% 1.15/1.43 tff(178,plain,
% 1.15/1.43 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~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] : ((~r1(X, Y)) | p5(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] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(modus_ponens,[status(thm)],[177, 173])).
% 1.15/1.43 tff(179,plain,
% 1.15/1.43 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(modus_ponens,[status(thm)],[178, 168])).
% 1.15/1.43 tff(180,plain,
% 1.15/1.43 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | (~p104(X)))) | (~(p102(X) | (~p103(X)))) | (~(p101(X) | (~p102(X)))) | (~(p100(X) | (~p101(X)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(rewrite,[status(thm)],[])).
% 1.15/1.43 tff(181,plain,
% 1.15/1.43 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))))),
% 1.15/1.43 inference(quant_inst,[status(thm)],[])).
% 1.15/1.43 tff(182,plain,
% 1.15/1.43 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.15/1.43 inference(modus_ponens,[status(thm)],[181, 180])).
% 1.15/1.43 tff(183,plain,
% 1.15/1.43 (![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.15/1.43 inference(unit_resolution,[status(thm)],[182, 179, 32])).
% 1.15/1.43 tff(184,plain,
% 1.15/1.43 (((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, 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| (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) 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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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.15/1.44 inference(rewrite,[status(thm)],[])).
% 1.15/1.44 tff(185,plain,
% 1.15/1.44 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))))),
% 1.15/1.44 inference(quant_inst,[status(thm)],[])).
% 1.15/1.44 tff(186,plain,
% 1.15/1.44 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.15/1.44 inference(modus_ponens,[status(thm)],[185, 184])).
% 1.15/1.44 tff(187,plain,
% 1.15/1.44 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.15/1.44 inference(unit_resolution,[status(thm)],[186, 80, 183])).
% 1.15/1.44 tff(188,plain,
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(~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p105(X) | (~p106(X)))) | (~(p104(X) | (~p105(X)))) | (~(p103(X) | 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| (~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_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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))))))))))))),
% 1.15/1.44 inference(rewrite,[status(thm)],[])).
% 1.15/1.44 tff(189,plain,
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% 1.15/1.44 inference(quant_inst,[status(thm)],[])).
% 1.15/1.44 tff(190,plain,
% 1.15/1.44 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))),
% 1.15/1.44 inference(modus_ponens,[status(thm)],[189, 188])).
% 1.15/1.44 tff(191,plain,
% 1.15/1.44 (![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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)))))))))))),
% 1.15/1.44 inference(unit_resolution,[status(thm)],[190, 119, 187])).
% 1.15/1.44 tff(192,plain,
% 1.15/1.44 (((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))))))),
% 1.15/1.45 inference(rewrite,[status(thm)],[])).
% 1.15/1.45 tff(193,plain,
% 1.15/1.45 (((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | p1(Y))))))))))) <=> ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))))))),
% 1.15/1.45 inference(rewrite,[status(thm)],[])).
% 1.15/1.45 tff(194,plain,
% 1.15/1.45 (((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))))))),
% 1.15/1.45 inference(monotonicity,[status(thm)],[193])).
% 1.15/1.45 tff(195,plain,
% 1.15/1.45 (((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | p1(Y)))))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))))))),
% 1.15/1.46 inference(transitivity,[status(thm)],[194, 192])).
% 1.15/1.46 tff(196,plain,
% 1.15/1.46 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p6(Y) | (~p105(Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p4(Y)) | (~p103(Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p4(Y) | (~p103(Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p102(Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p2(Y)) | (~p101(Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | p2(Y) | (~p101(Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | (~p1(Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~p100(Y)) | p1(Y)))))))))))),
% 1.15/1.46 inference(quant_inst,[status(thm)],[])).
% 1.15/1.46 tff(197,plain,
% 1.15/1.46 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), 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)))) | (~(p105(X) | (~p104(X)) | (~((~r1(X, tptp_fun_Y_11(X))) | p6(tptp_fun_Y_11(X)) | p106(tptp_fun_Y_11(X)) | (~r1(X, tptp_fun_Y_12(X))) | p106(tptp_fun_Y_12(X)) | (~p105(tptp_fun_Y_12(X))) | (~p6(tptp_fun_Y_12(X))) | (~p105(tptp_fun_Y_11(X))))))) | (~(p104(X) | (~p103(X)) | (~((~r1(X, tptp_fun_Y_13(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)) | (~p5(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_14(X))) | (~p104(tptp_fun_Y_13(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_16(X))) | (~p4(tptp_fun_Y_16(X))) | (~p103(tptp_fun_Y_15(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)) | (~p2(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_20(X))) | (~p101(tptp_fun_Y_19(X))))))) | (~((~p105(X)) | (~((~(p6(X) | ![Y: $i] : ((~r1(X, Y)) | (~p6(Y)) | (~p105(Y))))) | (~((~p6(X)) | ![Y: $i] : ((~r1(X, Y)) | p6(Y) | (~p105(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))))))))) | (~((~p104(X)) | (~((~(p5(X) | ![Y: $i] : ((~r1(X, Y)) | (~p5(Y)) | (~p104(Y))))) | (~((~p5(X)) | ![Y: $i] : ((~r1(X, Y)) | p5(Y) | (~p104(Y))))))))) | (~((~p102(X)) | (~((~(p3(X) | ![Y: $i] : ((~r1(X, Y)) | (~p3(Y)) | (~p102(Y))))) | (~((~p3(X)) | ![Y: $i] : (p3(Y) | (~r1(X, 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_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))))),
% 1.15/1.46 inference(modus_ponens,[status(thm)],[196, 195])).
% 1.15/1.46 tff(198,plain,
% 1.15/1.46 (~((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[197, 162, 191])).
% 1.15/1.46 tff(199,plain,
% 1.15/1.46 (((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))) | (p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))),
% 1.15/1.46 inference(tautology,[status(thm)],[])).
% 1.15/1.46 tff(200,plain,
% 1.15/1.46 (p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[199, 198])).
% 1.15/1.46 tff(201,plain,
% 1.15/1.46 (((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.46 inference(tautology,[status(thm)],[])).
% 1.15/1.46 tff(202,plain,
% 1.15/1.46 (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[201, 160])).
% 1.15/1.46 tff(203,plain,
% 1.15/1.46 (((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.46 inference(tautology,[status(thm)],[])).
% 1.15/1.46 tff(204,plain,
% 1.15/1.46 (p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[203, 160])).
% 1.15/1.46 tff(205,plain,
% 1.15/1.46 ((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))),
% 1.15/1.46 inference(tautology,[status(thm)],[])).
% 1.15/1.46 tff(206,plain,
% 1.15/1.46 ((~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[205, 204, 202])).
% 1.15/1.46 tff(207,plain,
% 1.15/1.46 (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[206, 200])).
% 1.15/1.46 tff(208,plain,
% 1.15/1.46 (((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.46 inference(tautology,[status(thm)],[])).
% 1.15/1.46 tff(209,plain,
% 1.15/1.46 (r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.46 inference(unit_resolution,[status(thm)],[208, 207])).
% 1.15/1.46 tff(210,plain,
% 1.15/1.46 (((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))))))),
% 1.15/1.47 inference(rewrite,[status(thm)],[])).
% 1.15/1.47 tff(211,plain,
% 1.15/1.47 (((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | p1(X))))))))))) <=> ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))))))),
% 1.15/1.47 inference(rewrite,[status(thm)],[])).
% 1.15/1.47 tff(212,plain,
% 1.15/1.47 (((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)))))))))))))),
% 1.15/1.47 inference(monotonicity,[status(thm)],[211])).
% 1.15/1.47 tff(213,plain,
% 1.15/1.47 (((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | p1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))))))),
% 1.15/1.48 inference(transitivity,[status(thm)],[212, 210])).
% 1.15/1.48 tff(214,plain,
% 1.15/1.48 ((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p6(X) | (~p105(X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p5(X) | (~p104(X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p4(X) | (~p103(X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p102(X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | p2(X) | (~p101(X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)) | (~p100(X)) | p1(X)))))))))))),
% 1.15/1.48 inference(quant_inst,[status(thm)],[])).
% 1.15/1.48 tff(215,plain,
% 1.15/1.48 ((~![Y: $i] : ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)) | (~((~(p105(Y) | (~p104(Y)) | (~((~r1(Y, tptp_fun_X_2(Y))) | p6(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))) | p106(tptp_fun_X_1(Y)) | p106(tptp_fun_X_2(Y)) | (~p105(tptp_fun_X_1(Y))) | (~p6(tptp_fun_X_2(Y))) | (~p105(tptp_fun_X_2(Y))))))) | (~(p104(Y) | (~p103(Y)) | (~((~r1(Y, tptp_fun_X_4(Y))) | p105(tptp_fun_X_4(Y)) | p5(tptp_fun_X_3(Y)) | p105(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))) | (~p104(tptp_fun_X_3(Y))) | (~p5(tptp_fun_X_4(Y))) | (~p104(tptp_fun_X_4(Y))))))) | (~(p103(Y) | (~p102(Y)) | (~((~r1(Y, tptp_fun_X_5(Y))) | p4(tptp_fun_X_5(Y)) | p104(tptp_fun_X_5(Y)) | (~r1(Y, tptp_fun_X_6(Y))) | p104(tptp_fun_X_6(Y)) | (~p103(tptp_fun_X_6(Y))) | (~p4(tptp_fun_X_6(Y))) | (~p103(tptp_fun_X_5(Y))))))) | (~(p102(Y) | (~p101(Y)) | (~((~r1(Y, tptp_fun_X_7(Y))) | p3(tptp_fun_X_7(Y)) | p103(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_8(Y))) | p103(tptp_fun_X_8(Y)) | (~p102(tptp_fun_X_8(Y))) | (~p102(tptp_fun_X_7(Y))) | (~p3(tptp_fun_X_8(Y))))))) | (~(p101(Y) | (~p100(Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | p2(tptp_fun_X_9(Y)) | p102(tptp_fun_X_9(Y)) | (~r1(Y, tptp_fun_X_10(Y))) | p102(tptp_fun_X_10(Y)) | (~p101(tptp_fun_X_9(Y))) | (~p2(tptp_fun_X_10(Y))) | (~p101(tptp_fun_X_10(Y))))))) | (~(p105(Y) | (~p106(Y)))) | (~(p104(Y) | (~p105(Y)))) | (~(p103(Y) | (~p104(Y)))) | (~(p102(Y) | (~p103(Y)))) | (~(p101(Y) | (~p102(Y)))) | (~(p100(Y) | (~p101(Y)))) | (~((~p105(Y)) | (~((~(p6(Y) | ![X: $i] : ((~r1(Y, X)) | (~p6(X)) | (~p105(X))))) | (~((~p6(Y)) | ![X: $i] : ((~r1(Y, X)) | p6(X) | (~p105(X))))))))) | (~((~p104(Y)) | (~((~(p5(Y) | ![X: $i] : ((~r1(Y, X)) | (~p5(X)) | (~p104(X))))) | (~((~p5(Y)) | ![X: $i] : ((~r1(Y, X)) | p5(X) | (~p104(X))))))))) | (~((~p103(Y)) | (~((~(p4(Y) | ![X: $i] : ((~r1(Y, X)) | (~p4(X)) | (~p103(X))))) | (~((~p4(Y)) | ![X: $i] : ((~r1(Y, X)) | p4(X) | (~p103(X))))))))) | (~((~p102(Y)) | (~((~(p3(Y) | ![X: $i] : ((~r1(Y, X)) | (~p3(X)) | (~p102(X))))) | (~((~p3(Y)) | ![X: $i] : (p3(X) | (~r1(Y, X)) | (~p102(X))))))))) | (~((~p101(Y)) | (~((~(p2(Y) | ![X: $i] : ((~r1(Y, X)) | (~p2(X)) | (~p101(X))))) | (~((~p2(Y)) | ![X: $i] : ((~r1(Y, X)) | p2(X) | (~p101(X))))))))) | (~((~p100(Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | (~p1(X))))) | (~((~p1(Y)) | ![X: $i] : ((~r1(Y, X)) | (~p100(X)) | p1(X)))))))))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)))))))))))),
% 1.15/1.48 inference(modus_ponens,[status(thm)],[214, 213])).
% 1.15/1.48 tff(216,plain,
% 1.15/1.48 (~((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))))),
% 1.15/1.48 inference(unit_resolution,[status(thm)],[215, 209, 166])).
% 1.15/1.48 tff(217,plain,
% 1.15/1.48 (((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)))))))))) | (p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.48 inference(tautology,[status(thm)],[])).
% 1.15/1.48 tff(218,plain,
% 1.15/1.48 (p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.48 inference(unit_resolution,[status(thm)],[217, 216])).
% 1.15/1.48 tff(219,plain,
% 1.15/1.48 (((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)))))))))) | (p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(220,plain,
% 1.15/1.49 (p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[219, 216])).
% 1.15/1.49 tff(221,plain,
% 1.15/1.49 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))))),
% 1.15/1.49 inference(bind,[status(th)],[])).
% 1.15/1.49 tff(222,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(quant_intro,[status(thm)],[221])).
% 1.15/1.49 tff(223,plain,
% 1.15/1.49 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))))),
% 1.15/1.49 inference(bind,[status(th)],[])).
% 1.15/1.49 tff(224,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(quant_intro,[status(thm)],[223])).
% 1.15/1.49 tff(225,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(transitivity,[status(thm)],[224, 222])).
% 1.15/1.49 tff(226,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(and_elim,[status(thm)],[13])).
% 1.15/1.49 tff(227,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[226, 225])).
% 1.15/1.49 tff(228,plain,
% 1.15/1.49 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(229,plain,
% 1.15/1.49 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | ((~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(230,plain,
% 1.15/1.49 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))))) | (~r1(X!0, Y!29)) | ![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[229, 228])).
% 1.15/1.49 tff(231,plain,
% 1.15/1.49 (![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[230, 227, 32])).
% 1.15/1.49 tff(232,plain,
% 1.15/1.49 (((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | ((~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) <=> ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(233,plain,
% 1.15/1.49 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | ((~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(234,plain,
% 1.15/1.49 ((~![X: $i] : ((~r1(Y!29, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))))) | (~r1(Y!29, tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[233, 232])).
% 1.15/1.49 tff(235,plain,
% 1.15/1.49 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[234, 80, 231])).
% 1.15/1.49 tff(236,plain,
% 1.15/1.49 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(237,plain,
% 1.15/1.49 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(238,plain,
% 1.15/1.49 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!29), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[237, 236])).
% 1.15/1.49 tff(239,plain,
% 1.15/1.49 (![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[238, 119, 235])).
% 1.15/1.49 tff(240,plain,
% 1.15/1.49 (((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(241,plain,
% 1.15/1.49 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(242,plain,
% 1.15/1.49 ((~![X: $i] : ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)) | ![Y: $i] : (p3(Y) | (~r1(X, Y))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[241, 240])).
% 1.15/1.49 tff(243,plain,
% 1.15/1.49 (![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[242, 162, 239])).
% 1.15/1.49 tff(244,plain,
% 1.15/1.49 (((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | (p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) <=> ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(245,plain,
% 1.15/1.49 ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | (p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(246,plain,
% 1.15/1.49 ((~![Y: $i] : (p3(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[245, 244])).
% 1.15/1.49 tff(247,plain,
% 1.15/1.49 (p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[246, 243, 209])).
% 1.15/1.49 tff(248,plain,
% 1.15/1.49 (((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))) | (p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(249,plain,
% 1.15/1.49 (p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[248, 198])).
% 1.15/1.49 tff(250,plain,
% 1.15/1.49 (((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))) | (p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(251,plain,
% 1.15/1.49 (p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[250, 198])).
% 1.15/1.49 tff(252,plain,
% 1.15/1.49 ((~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(253,plain,
% 1.15/1.49 ((~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[252, 204])).
% 1.15/1.49 tff(254,plain,
% 1.15/1.49 (p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[253, 251])).
% 1.15/1.49 tff(255,plain,
% 1.15/1.49 ((~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(256,plain,
% 1.15/1.49 (p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[255, 254, 249])).
% 1.15/1.49 tff(257,plain,
% 1.15/1.49 (((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))))) | (p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(258,plain,
% 1.15/1.49 (p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[257, 151])).
% 1.15/1.49 tff(259,plain,
% 1.15/1.49 ((~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(260,plain,
% 1.15/1.49 ((~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[259, 157])).
% 1.15/1.49 tff(261,plain,
% 1.15/1.49 (p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[260, 258])).
% 1.15/1.49 tff(262,plain,
% 1.15/1.49 (((~(p100(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p105(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p106(tptp_fun_X_7(Y!29))))) | (~(p105(tptp_fun_X_7(Y!29)) | (~p104(tptp_fun_X_7(Y!29))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_7(Y!29)))) | (~p6(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_12(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_12(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | p6(tptp_fun_Y_11(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_11(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_X_7(Y!29)) | (~p103(tptp_fun_X_7(Y!29))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | (~p5(tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_14(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_14(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | p5(tptp_fun_Y_13(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_13(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_X_7(Y!29)) | (~p102(tptp_fun_X_7(Y!29))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p4(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_16(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_16(tptp_fun_X_7(Y!29)))) | p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_X_7(Y!29)) | (~p101(tptp_fun_X_7(Y!29))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_17(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_18(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_18(tptp_fun_X_7(Y!29)))) | p103(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | p3(tptp_fun_Y_17(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_17(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_X_7(Y!29)) | (~p100(tptp_fun_X_7(Y!29))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | (~p2(tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_20(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_20(tptp_fun_X_7(Y!29)))) | p102(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | p2(tptp_fun_Y_19(tptp_fun_X_7(Y!29))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_19(tptp_fun_X_7(Y!29)))))))) | (~((~p105(tptp_fun_X_7(Y!29))) | (~((~(p6(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p6(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p103(tptp_fun_X_7(Y!29))) | (~((~(p4(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p4(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p104(tptp_fun_X_7(Y!29))) | (~((~(p5(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p5(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p101(tptp_fun_X_7(Y!29))) | (~((~(p2(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p2(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~p100(tptp_fun_X_7(Y!29))) | (~((~(p1(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p1(tptp_fun_X_7(Y!29))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_7(Y!29), Y)))))))))) | ((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(263,plain,
% 1.15/1.49 ((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[262, 108])).
% 1.15/1.49 tff(264,plain,
% 1.15/1.49 ((~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(265,plain,
% 1.15/1.49 ((~((~p102(tptp_fun_X_7(Y!29))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))))) | (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[264, 114])).
% 1.15/1.49 tff(266,plain,
% 1.15/1.49 (~((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[265, 263])).
% 1.15/1.49 tff(267,plain,
% 1.15/1.49 (((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | (~((~p3(tptp_fun_X_7(Y!29))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))))) | (p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(268,plain,
% 1.15/1.49 (p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[267, 266])).
% 1.15/1.49 tff(269,plain,
% 1.15/1.49 (((~p3(tptp_fun_X_8(Y!29))) | (~p102(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_8(Y!29)) | (~r1(Y!29, tptp_fun_X_8(Y!29))) | p103(tptp_fun_X_7(Y!29)) | p3(tptp_fun_X_7(Y!29)) | (~r1(Y!29, tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_X_7(Y!29)))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(270,plain,
% 1.15/1.49 (~p3(tptp_fun_X_7(Y!29))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[269, 78])).
% 1.15/1.49 tff(271,plain,
% 1.15/1.49 ((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))),
% 1.15/1.49 inference(tautology,[status(thm)],[])).
% 1.15/1.49 tff(272,plain,
% 1.15/1.49 ((~(p3(tptp_fun_X_7(Y!29)) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y))))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[271, 270])).
% 1.15/1.49 tff(273,plain,
% 1.15/1.49 (![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[272, 268])).
% 1.15/1.49 tff(274,plain,
% 1.15/1.49 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(275,plain,
% 1.15/1.49 (((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) <=> ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(rewrite,[status(thm)],[])).
% 1.15/1.49 tff(276,plain,
% 1.15/1.49 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | ((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | ((~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.15/1.49 inference(monotonicity,[status(thm)],[275])).
% 1.15/1.49 tff(277,plain,
% 1.15/1.49 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | ((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(transitivity,[status(thm)],[276, 274])).
% 1.15/1.49 tff(278,plain,
% 1.15/1.49 ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | ((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.15/1.49 inference(quant_inst,[status(thm)],[])).
% 1.15/1.49 tff(279,plain,
% 1.15/1.49 ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_7(Y!29), Y)))) | (~r1(tptp_fun_X_7(Y!29), tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.15/1.49 tff(280,plain,
% 1.15/1.49 ((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[279, 119, 273])).
% 1.15/1.49 tff(281,plain,
% 1.15/1.49 (~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))),
% 1.15/1.49 inference(unit_resolution,[status(thm)],[280, 261])).
% 1.15/1.49 tff(282,plain,
% 1.15/1.49 (((~(p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p106(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~(p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p106(tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p106(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_X_1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p105(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p5(tptp_fun_X_3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p104(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p4(tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_8(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p103(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p3(tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_7(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~(p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | (~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_10(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p102(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | p2(tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_9(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))) | (~((~p105(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p6(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p104(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p5(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p101(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p2(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~((~p100(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))))) | ((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(283,plain,
% 1.26/1.50 ((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[282, 151])).
% 1.26/1.50 tff(284,plain,
% 1.26/1.50 ((~((~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))))) | (~p102(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(285,plain,
% 1.26/1.50 (~((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[284, 261, 283])).
% 1.26/1.50 tff(286,plain,
% 1.26/1.50 (((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | (~((~p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))))) | (p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(287,plain,
% 1.26/1.50 (p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[286, 285])).
% 1.26/1.50 tff(288,plain,
% 1.26/1.50 ((~(p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X))))) | p3(tptp_fun_Y_15(tptp_fun_X_7(Y!29))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(289,plain,
% 1.26/1.50 (![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[288, 287, 281])).
% 1.26/1.50 tff(290,plain,
% 1.26/1.50 (((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) <=> ((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(291,plain,
% 1.26/1.50 (((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) <=> ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(292,plain,
% 1.26/1.50 (((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | ((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) <=> ((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | ((~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(monotonicity,[status(thm)],[291])).
% 1.26/1.50 tff(293,plain,
% 1.26/1.50 (((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | ((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) <=> ((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(transitivity,[status(thm)],[292, 290])).
% 1.26/1.50 tff(294,plain,
% 1.26/1.50 ((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | ((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(295,plain,
% 1.26/1.50 ((~![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), X)))) | (~r1(tptp_fun_Y_15(tptp_fun_X_7(Y!29)), tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[294, 293])).
% 1.26/1.50 tff(296,plain,
% 1.26/1.50 ((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[295, 162, 289])).
% 1.26/1.50 tff(297,plain,
% 1.26/1.50 (~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[296, 256])).
% 1.26/1.50 tff(298,plain,
% 1.26/1.50 (((~(p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p106(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~(p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p104(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p104(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p5(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_14(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p5(tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_13(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p103(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p4(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p103(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_16(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p104(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p4(tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_15(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p102(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_18(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p103(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p3(tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_17(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~(p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | (~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~p101(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p101(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p2(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_20(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p102(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p2(tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_19(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))))) | (~((~p105(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p6(Y)) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p6(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p6(Y) | (~p105(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p103(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p4(Y)) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p4(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p4(Y) | (~p103(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p5(Y)) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p5(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p5(Y) | (~p104(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p101(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p2(Y)) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p2(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p2(Y) | (~p101(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~((~p100(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p100(Y)) | (~p1(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : ((~p100(Y)) | p1(Y) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))))) | ((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(299,plain,
% 1.26/1.50 ((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[298, 198])).
% 1.26/1.50 tff(300,plain,
% 1.26/1.50 ((~((~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))))) | (~p102(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(301,plain,
% 1.26/1.50 (~((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[300, 256, 299])).
% 1.26/1.50 tff(302,plain,
% 1.26/1.50 (((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | (~((~p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![Y: $i] : (p3(Y) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))))) | (p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(303,plain,
% 1.26/1.50 (p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[302, 301])).
% 1.26/1.50 tff(304,plain,
% 1.26/1.50 ((~(p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y))))) | p3(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))) | ![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(305,plain,
% 1.26/1.50 (![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[304, 303, 297])).
% 1.26/1.50 tff(306,plain,
% 1.26/1.50 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(307,plain,
% 1.26/1.50 (((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) <=> ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(308,plain,
% 1.26/1.50 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | ((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | ((~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))),
% 1.26/1.50 inference(monotonicity,[status(thm)],[307])).
% 1.26/1.50 tff(309,plain,
% 1.26/1.50 (((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | ((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) <=> ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(transitivity,[status(thm)],[308, 306])).
% 1.26/1.50 tff(310,plain,
% 1.26/1.50 ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | ((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(311,plain,
% 1.26/1.50 ((~![Y: $i] : ((~p3(Y)) | (~p102(Y)) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), Y)))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[310, 309])).
% 1.26/1.50 tff(312,plain,
% 1.26/1.50 ((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[311, 209, 305])).
% 1.26/1.50 tff(313,plain,
% 1.26/1.50 (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[312, 247])).
% 1.26/1.50 tff(314,plain,
% 1.26/1.50 ((~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(315,plain,
% 1.26/1.50 (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[314, 313, 220])).
% 1.26/1.50 tff(316,plain,
% 1.26/1.50 (((~(p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | (~(p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p105(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p6(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p105(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p106(tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p6(tptp_fun_X_1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p104(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p5(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p104(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p5(tptp_fun_X_3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p105(tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p103(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p4(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p103(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p104(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p4(tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p3(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p102(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_8(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p103(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p3(tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_7(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~(p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~p101(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p2(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | (~p101(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_10(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p102(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p2(tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), tptp_fun_X_9(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))))))) | (~((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p6(X)) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p6(X) | (~p105(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p5(X)) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p5(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p5(X) | (~p104(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p4(X)) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p4(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p4(X) | (~p103(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p102(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p3(X)) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p3(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p3(X) | (~p102(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p101(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p2(X)) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p2(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : (p2(X) | (~p101(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))))))) | (~((~p100(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~((~(p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | ![X: $i] : ((~p100(X)) | (~p1(X)) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X))))) | (~((~p1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | ![X: $i] : ((~p100(X)) | p1(X) | (~r1(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))), X)))))))))) | (p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(317,plain,
% 1.26/1.50 (p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[316, 216])).
% 1.26/1.50 tff(318,plain,
% 1.26/1.50 (((~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p6(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | (~p105(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_12(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))) | p106(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | p6(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~r1(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))), tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))) | p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(tautology,[status(thm)],[])).
% 1.26/1.50 tff(319,plain,
% 1.26/1.50 (p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[318, 207])).
% 1.26/1.50 tff(320,plain,
% 1.26/1.50 ((~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.51 inference(tautology,[status(thm)],[])).
% 1.26/1.51 tff(321,plain,
% 1.26/1.51 ((~(p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p105(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.51 inference(unit_resolution,[status(thm)],[320, 319])).
% 1.26/1.51 tff(322,plain,
% 1.26/1.51 (p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))),
% 1.26/1.51 inference(unit_resolution,[status(thm)],[321, 317])).
% 1.26/1.51 tff(323,plain,
% 1.26/1.51 ((~(p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29)))))))) | p103(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))) | (~p104(tptp_fun_Y_11(tptp_fun_X_4(tptp_fun_Y_15(tptp_fun_X_7(Y!29))))))),
% 1.26/1.51 inference(tautology,[status(thm)],[])).
% 1.26/1.51 tff(324,plain,
% 1.26/1.51 ($false),
% 1.26/1.51 inference(unit_resolution,[status(thm)],[323, 322, 315, 218])).
% 1.26/1.51 % SZS output end Proof
% 1.26/1.51 % E exiting
%------------------------------------------------------------------------------