%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL640+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n008.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 03:00:19 PM UTC 2026
% Result : Theorem 0.39s 0.63s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 5 16:07:39 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.39/0.63 % SZS status Theorem
% 0.39/0.63 % SZS output start Proof
% 0.39/0.63 tff(r1_type, type, (
% 0.39/0.63 r1: ( $i * $i ) > $o)).
% 0.39/0.63 tff(tptp_fun_Y_4_type, type, (
% 0.39/0.63 tptp_fun_Y_4: $i > $i)).
% 0.39/0.63 tff(tptp_fun_X_8_type, type, (
% 0.39/0.63 tptp_fun_X_8: $i > $i)).
% 0.39/0.63 tff(tptp_fun_X_16_type, type, (
% 0.39/0.63 tptp_fun_X_16: $i)).
% 0.39/0.63 tff(p1_type, type, (
% 0.39/0.63 p1: $i > $o)).
% 0.39/0.63 tff(tptp_fun_Y_7_type, type, (
% 0.39/0.63 tptp_fun_Y_7: $i > $i)).
% 0.39/0.63 tff(tptp_fun_Y_17_type, type, (
% 0.39/0.63 tptp_fun_Y_17: $i)).
% 0.39/0.63 tff(tptp_fun_X_3_type, type, (
% 0.39/0.63 tptp_fun_X_3: $i > $i)).
% 0.39/0.63 tff(tptp_fun_X_0_type, type, (
% 0.39/0.63 tptp_fun_X_0: $i)).
% 0.39/0.63 tff(tptp_fun_X_1_type, type, (
% 0.39/0.63 tptp_fun_X_1: $i > $i)).
% 0.39/0.63 tff(tptp_fun_Y_2_type, type, (
% 0.39/0.63 tptp_fun_Y_2: $i > $i)).
% 0.39/0.63 tff(tptp_fun_Y_6_type, type, (
% 0.39/0.63 tptp_fun_Y_6: $i > $i)).
% 0.39/0.63 tff(tptp_fun_X_5_type, type, (
% 0.39/0.63 tptp_fun_X_5: $i > $i)).
% 0.39/0.63 tff(tptp_fun_Y_18_type, type, (
% 0.39/0.63 tptp_fun_Y_18: $i)).
% 0.39/0.63 tff(tptp_fun_Y_15_type, type, (
% 0.39/0.63 tptp_fun_Y_15: $i)).
% 0.39/0.63 tff(tptp_fun_X_14_type, type, (
% 0.39/0.63 tptp_fun_X_14: $i)).
% 0.39/0.63 tff(tptp_fun_Y_13_type, type, (
% 0.39/0.63 tptp_fun_Y_13: $i)).
% 0.39/0.63 tff(tptp_fun_X_12_type, type, (
% 0.39/0.63 tptp_fun_X_12: $i)).
% 0.39/0.63 tff(tptp_fun_Y_11_type, type, (
% 0.39/0.63 tptp_fun_Y_11: $i)).
% 0.39/0.63 tff(tptp_fun_X_10_type, type, (
% 0.39/0.63 tptp_fun_X_10: $i > $i)).
% 0.39/0.63 tff(tptp_fun_Y_9_type, type, (
% 0.39/0.63 tptp_fun_Y_9: $i > $i)).
% 0.39/0.63 tff(1,assumption,(![Y: $i] : (p1(Y) | (~r1(X!16, Y)))), introduced(assumption)).
% 0.39/0.63 tff(2,plain,
% 0.39/0.63 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.64 inference(rewrite,[status(thm)],[])).
% 0.39/0.64 tff(3,plain,
% 0.39/0.64 (((r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.64 inference(rewrite,[status(thm)],[])).
% 0.39/0.64 tff(4,plain,
% 0.39/0.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(5,plain,
% 0.39/0.64 (![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[4])).
% 0.39/0.64 tff(6,plain,
% 0.39/0.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(7,plain,
% 0.39/0.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[6])).
% 0.39/0.64 tff(8,plain,
% 0.39/0.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(9,plain,
% 0.39/0.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[8])).
% 0.39/0.64 tff(10,plain,
% 0.39/0.64 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(11,plain,
% 0.39/0.64 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[10])).
% 0.39/0.64 tff(12,plain,
% 0.39/0.64 (^[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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 0.39/0.64 inference(bind,[status(th)],[])).
% 0.39/0.64 tff(13,plain,
% 0.39/0.64 (![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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.39/0.64 inference(quant_intro,[status(thm)],[12])).
% 0.39/0.64 tff(14,plain,
% 0.39/0.64 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(15,plain,
% 0.39/0.65 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(16,plain,
% 0.39/0.65 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(17,plain,
% 0.39/0.65 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(18,plain,
% 0.39/0.65 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(19,plain,
% 0.39/0.65 ((r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(20,plain,
% 0.39/0.65 ((r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) <=> (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))))),
% 0.39/0.65 inference(rewrite,[status(thm)],[])).
% 0.39/0.65 tff(21,plain,
% 0.39/0.65 ((r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(monotonicity,[status(thm)],[20])).
% 0.39/0.65 tff(22,plain,
% 0.39/0.65 ((r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(transitivity,[status(thm)],[21, 19])).
% 0.39/0.65 tff(23,plain,
% 0.39/0.65 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 0.39/0.65 inference(monotonicity,[status(thm)],[22])).
% 0.39/0.65 tff(24,plain,
% 0.39/0.65 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(transitivity,[status(thm)],[23, 18])).
% 0.39/0.65 tff(25,plain,
% 0.39/0.65 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!13, X!14) & (r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 0.39/0.65 inference(monotonicity,[status(thm)],[24])).
% 0.39/0.65 tff(26,plain,
% 0.39/0.65 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.65 inference(transitivity,[status(thm)],[25, 17])).
% 0.39/0.65 tff(27,plain,
% 0.39/0.65 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!12, Y!13) & (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 0.39/0.66 inference(monotonicity,[status(thm)],[26])).
% 0.39/0.66 tff(28,plain,
% 0.39/0.66 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.66 inference(transitivity,[status(thm)],[27, 16])).
% 0.39/0.66 tff(29,plain,
% 0.39/0.66 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!11, X!12) & (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 0.39/0.66 inference(monotonicity,[status(thm)],[28])).
% 0.39/0.66 tff(30,plain,
% 0.39/0.66 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.66 inference(transitivity,[status(thm)],[29, 15])).
% 0.39/0.66 tff(31,plain,
% 0.39/0.66 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!0, Y!11) & (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 0.39/0.66 inference(monotonicity,[status(thm)],[30])).
% 0.39/0.66 tff(32,plain,
% 0.39/0.66 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 0.39/0.66 inference(transitivity,[status(thm)],[31, 14])).
% 0.39/0.66 tff(33,plain,
% 0.39/0.66 (((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> ((r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.66 inference(monotonicity,[status(thm)],[32, 13, 11, 9, 7, 5])).
% 0.39/0.66 tff(34,plain,
% 0.39/0.66 (((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.66 inference(transitivity,[status(thm)],[33, 3])).
% 0.39/0.66 tff(35,plain,
% 0.39/0.66 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.39/0.66 inference(bind,[status(th)],[])).
% 0.39/0.66 tff(36,plain,
% 0.39/0.66 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.39/0.66 inference(quant_intro,[status(thm)],[35])).
% 0.39/0.66 tff(37,plain,
% 0.39/0.66 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 0.39/0.67 inference(bind,[status(th)],[])).
% 0.39/0.67 tff(38,plain,
% 0.39/0.67 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.39/0.67 inference(quant_intro,[status(thm)],[37])).
% 0.39/0.67 tff(39,plain,
% 0.39/0.67 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 0.39/0.67 inference(bind,[status(th)],[])).
% 0.39/0.67 tff(40,plain,
% 0.39/0.67 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 0.39/0.67 inference(quant_intro,[status(thm)],[39])).
% 0.39/0.67 tff(41,plain,
% 0.39/0.67 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 0.39/0.67 inference(bind,[status(th)],[])).
% 0.39/0.67 tff(42,plain,
% 0.39/0.67 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 0.39/0.67 inference(quant_intro,[status(thm)],[41])).
% 0.39/0.67 tff(43,plain,
% 0.39/0.67 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 0.39/0.68 inference(monotonicity,[status(thm)],[42, 40, 38, 36, 34])).
% 0.39/0.68 tff(44,plain,
% 0.39/0.68 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & (r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~r1(tptp_fun_Y_2(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_3(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 0.39/0.69 inference(transitivity,[status(thm)],[43, 2])).
% 0.39/0.69 tff(45,plain,
% 0.39/0.69 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.39/0.69 inference(rewrite,[status(thm)],[])).
% 0.39/0.69 tff(46,plain,
% 0.39/0.69 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : 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((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.46/0.70 inference(rewrite,[status(thm)],[])).
% 0.46/0.70 tff(47,plain,
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(~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: 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$i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(48,plain,
% 0.46/0.71 ((~(~?[X: $i] : (~(((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))) | (~((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 0.46/0.72 inference(monotonicity,[status(thm)],[47])).
% 0.46/0.72 tff(49,plain,
% 0.46/0.72 ((~(~?[X: $i] : (~(((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))) | (~((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.46/0.72 inference(transitivity,[status(thm)],[48, 46])).
% 0.46/0.72 tff(50,axiom,(~(~?[X: $i] : (~(((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(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)) | ((((((![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))) | (~((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 0.46/0.73 tff(51,plain,
% 0.46/0.73 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.46/0.73 tff(52,plain,
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((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[51, 45])).
% 0.46/0.73 tff(53,plain,
% 0.46/0.74 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & (~(p1(Y!17) | (~r1(X!16, Y!17)))) & r1(X!16, Y!18) & ![X: $i] : (p1(X) | (~r1(Y!18, X))) & ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(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)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_3(Y))) & r1(Y, tptp_fun_X_3(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_3(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[52, 44])).
% 0.46/0.74 tff(54,plain,
% 0.46/0.74 (~(p1(Y!17) | (~r1(X!16, Y!17)))),
% 0.46/0.74 inference(and_elim,[status(thm)],[53])).
% 0.46/0.74 tff(55,plain,
% 0.46/0.74 (r1(X!16, Y!17)),
% 0.46/0.74 inference(or_elim,[status(thm)],[54])).
% 0.46/0.74 tff(56,plain,
% 0.46/0.74 (~p1(Y!17)),
% 0.46/0.74 inference(or_elim,[status(thm)],[54])).
% 0.46/0.74 tff(57,plain,
% 0.46/0.74 (((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)))) | (p1(Y!17) | (~r1(X!16, Y!17)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)))) | p1(Y!17) | (~r1(X!16, Y!17)))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(58,plain,
% 0.46/0.74 ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)))) | (p1(Y!17) | (~r1(X!16, Y!17)))),
% 0.46/0.74 inference(quant_inst,[status(thm)],[])).
% 0.46/0.74 tff(59,plain,
% 0.46/0.74 ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)))) | p1(Y!17) | (~r1(X!16, Y!17))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.46/0.74 tff(60,plain,
% 0.46/0.74 ($false),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[59, 56, 55, 1])).
% 0.46/0.74 tff(61,plain,(~![Y: $i] : (p1(Y) | (~r1(X!16, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.74 tff(62,assumption,(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), introduced(assumption)).
% 0.46/0.74 tff(63,assumption,(~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))), introduced(assumption)).
% 0.46/0.74 tff(64,plain,
% 0.46/0.74 ((p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18)))) | r1(Y!18, tptp_fun_X_1(Y!18))),
% 0.46/0.74 inference(tautology,[status(thm)],[])).
% 0.46/0.74 tff(65,plain,
% 0.46/0.74 (r1(Y!18, tptp_fun_X_1(Y!18))),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.46/0.74 tff(66,plain,
% 0.46/0.74 ((p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18)))) | (~p1(tptp_fun_X_1(Y!18)))),
% 0.46/0.74 inference(tautology,[status(thm)],[])).
% 0.46/0.74 tff(67,plain,
% 0.46/0.74 (~p1(tptp_fun_X_1(Y!18))),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[66, 63])).
% 0.46/0.74 tff(68,plain,
% 0.46/0.74 (^[X: $i] : refl((p1(X) | (~r1(Y!18, X))) <=> (p1(X) | (~r1(Y!18, X))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(69,plain,
% 0.46/0.74 (![X: $i] : (p1(X) | (~r1(Y!18, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!18, X)))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[68])).
% 0.46/0.74 tff(70,plain,
% 0.46/0.74 (![X: $i] : (p1(X) | (~r1(Y!18, X)))),
% 0.46/0.74 inference(and_elim,[status(thm)],[53])).
% 0.46/0.74 tff(71,plain,
% 0.46/0.74 (![X: $i] : (p1(X) | (~r1(Y!18, X)))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.46/0.74 tff(72,plain,
% 0.46/0.74 (((~![X: $i] : (p1(X) | (~r1(Y!18, X)))) | (p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!18, X)))) | p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(73,plain,
% 0.46/0.74 ((~![X: $i] : (p1(X) | (~r1(Y!18, X)))) | (p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))),
% 0.46/0.74 inference(quant_inst,[status(thm)],[])).
% 0.46/0.74 tff(74,plain,
% 0.46/0.74 ((~![X: $i] : (p1(X) | (~r1(Y!18, X)))) | p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18)))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.46/0.74 tff(75,plain,
% 0.46/0.74 ($false),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[74, 71, 67, 65])).
% 0.46/0.74 tff(76,plain,(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18)))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.74 tff(77,plain,
% 0.46/0.74 (r1(X!0, Y!11)),
% 0.46/0.74 inference(and_elim,[status(thm)],[53])).
% 0.46/0.74 tff(78,plain,
% 0.46/0.74 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(79,plain,
% 0.46/0.74 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[78])).
% 0.46/0.74 tff(80,plain,
% 0.46/0.74 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(81,plain,
% 0.46/0.74 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[80])).
% 0.46/0.74 tff(82,plain,
% 0.46/0.74 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(83,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[82])).
% 0.46/0.75 tff(84,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(transitivity,[status(thm)],[83, 81])).
% 0.46/0.75 tff(85,plain,
% 0.46/0.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(86,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[85])).
% 0.46/0.75 tff(87,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | ((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_2(X))) & r1(X, tptp_fun_Y_2(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.46/0.75 inference(and_elim,[status(thm)],[53])).
% 0.46/0.75 tff(88,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.46/0.75 tff(89,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_2(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.46/0.75 tff(90,plain,
% 0.46/0.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[89, 79])).
% 0.46/0.75 tff(91,plain,
% 0.46/0.75 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(92,plain,
% 0.46/0.76 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 0.46/0.76 inference(quant_inst,[status(thm)],[])).
% 0.46/0.76 tff(93,plain,
% 0.46/0.76 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.46/0.76 tff(94,plain,
% 0.46/0.76 (![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.46/0.76 inference(unit_resolution,[status(thm)],[93, 90, 77])).
% 0.46/0.76 tff(95,plain,
% 0.46/0.76 (r1(Y!11, X!12)),
% 0.46/0.76 inference(and_elim,[status(thm)],[53])).
% 0.46/0.76 tff(96,plain,
% 0.46/0.76 (((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(97,plain,
% 0.46/0.76 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 0.46/0.77 inference(quant_inst,[status(thm)],[])).
% 0.46/0.77 tff(98,plain,
% 0.46/0.77 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.46/0.77 tff(99,plain,
% 0.46/0.77 (![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[98, 95, 94])).
% 0.46/0.77 tff(100,plain,
% 0.46/0.77 (r1(X!12, Y!13)),
% 0.46/0.77 inference(and_elim,[status(thm)],[53])).
% 0.46/0.77 tff(101,plain,
% 0.46/0.77 (((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 0.46/0.77 inference(rewrite,[status(thm)],[])).
% 0.46/0.77 tff(102,plain,
% 0.46/0.77 ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 0.46/0.77 inference(quant_inst,[status(thm)],[])).
% 0.46/0.77 tff(103,plain,
% 0.46/0.77 ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.46/0.77 tff(104,plain,
% 0.46/0.77 (![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[103, 100, 99])).
% 0.46/0.77 tff(105,plain,
% 0.46/0.77 (r1(Y!13, X!14)),
% 0.46/0.77 inference(and_elim,[status(thm)],[53])).
% 0.46/0.77 tff(106,plain,
% 0.46/0.77 (((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(107,plain,
% 0.46/0.78 ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(108,plain,
% 0.46/0.78 ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.46/0.78 tff(109,plain,
% 0.46/0.78 (![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[108, 105, 104])).
% 0.46/0.78 tff(110,plain,
% 0.46/0.78 (r1(X!14, Y!15)),
% 0.46/0.78 inference(and_elim,[status(thm)],[53])).
% 0.46/0.78 tff(111,plain,
% 0.46/0.78 (((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(112,plain,
% 0.46/0.78 ((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(113,plain,
% 0.46/0.78 ((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.46/0.78 tff(114,plain,
% 0.46/0.78 (![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[113, 110, 109])).
% 0.46/0.79 tff(115,plain,
% 0.46/0.79 (r1(Y!15, X!16)),
% 0.46/0.79 inference(and_elim,[status(thm)],[53])).
% 0.46/0.79 tff(116,plain,
% 0.46/0.79 (((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(117,plain,
% 0.46/0.79 (((~r1(Y!15, X!16)) | (~((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!16)) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))) <=> ((~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(118,plain,
% 0.46/0.79 (((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!15, X!16)) | (~((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!16)) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))))))),
% 0.46/0.79 inference(monotonicity,[status(thm)],[117])).
% 0.46/0.79 tff(119,plain,
% 0.46/0.79 (((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!15, X!16)) | (~((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!16)) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))))))),
% 0.46/0.79 inference(transitivity,[status(thm)],[118, 116])).
% 0.46/0.79 tff(120,plain,
% 0.46/0.79 ((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!15, X!16)) | (~((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!16)) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(121,plain,
% 0.56/0.80 ((~![X: $i] : ((~r1(Y!15, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!15, X!16)) | (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.56/0.80 tff(122,plain,
% 0.56/0.80 (~((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[121, 115, 114])).
% 0.56/0.80 tff(123,plain,
% 0.56/0.80 (((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(124,plain,
% 0.56/0.80 (![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.56/0.80 tff(125,plain,
% 0.56/0.80 (r1(X!16, Y!18)),
% 0.56/0.80 inference(and_elim,[status(thm)],[53])).
% 0.56/0.80 tff(126,plain,
% 0.56/0.80 (((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(127,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(128,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.56/0.80 tff(129,plain,
% 0.56/0.80 ((~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[128, 125, 124])).
% 0.56/0.80 tff(130,plain,
% 0.56/0.80 (![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[129, 76])).
% 0.56/0.80 tff(131,assumption,(~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))), introduced(assumption)).
% 0.56/0.80 tff(132,plain,
% 0.56/0.80 (((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))) | r1(Y!18, tptp_fun_X_5(Y!18))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(133,plain,
% 0.56/0.80 (r1(Y!18, tptp_fun_X_5(Y!18))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.56/0.80 tff(134,plain,
% 0.56/0.80 (((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))) <=> ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(135,plain,
% 0.56/0.80 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(136,plain,
% 0.56/0.80 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.56/0.80 tff(137,plain,
% 0.56/0.80 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[136, 133, 130])).
% 0.56/0.80 tff(138,plain,
% 0.56/0.80 (((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))) | r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(139,plain,
% 0.56/0.80 (r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[138, 131])).
% 0.56/0.80 tff(140,plain,
% 0.56/0.80 (((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))) | (~p1(tptp_fun_Y_6(Y!18)))),
% 0.56/0.80 inference(tautology,[status(thm)],[])).
% 0.56/0.80 tff(141,plain,
% 0.56/0.80 (~p1(tptp_fun_Y_6(Y!18))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[140, 131])).
% 0.56/0.80 tff(142,plain,
% 0.56/0.80 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | (p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(143,plain,
% 0.56/0.80 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | (p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(144,plain,
% 0.56/0.80 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!18), Y)))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.56/0.80 tff(145,plain,
% 0.56/0.80 ($false),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[144, 141, 139, 137])).
% 0.56/0.80 tff(146,plain,((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.80 tff(147,plain,
% 0.56/0.80 (((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(148,plain,
% 0.56/0.80 (((~r1(X!16, Y!18)) | (~((~p1(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))))) <=> ((~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(149,plain,
% 0.56/0.80 (((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!16, Y!18)) | (~((~p1(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))))))),
% 0.56/0.80 inference(monotonicity,[status(thm)],[148])).
% 0.56/0.80 tff(150,plain,
% 0.56/0.80 (((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!16, Y!18)) | (~((~p1(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))),
% 0.56/0.80 inference(transitivity,[status(thm)],[149, 147])).
% 0.56/0.80 tff(151,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!16, Y!18)) | (~((~p1(tptp_fun_X_5(Y!18))) | (~r1(Y!18, tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18))))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(152,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!16, Y!18)) | (~((~r1(Y!18, tptp_fun_X_5(Y!18))) | (~p1(tptp_fun_X_5(Y!18))) | p1(tptp_fun_Y_6(Y!18)) | (~r1(tptp_fun_X_5(Y!18), tptp_fun_Y_6(Y!18)))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.56/0.80 tff(153,plain,
% 0.56/0.80 ($false),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[152, 125, 146, 62])).
% 0.56/0.80 tff(154,plain,(~![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.80 tff(155,assumption,(![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), introduced(assumption)).
% 0.56/0.80 tff(156,plain,
% 0.56/0.80 (((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(157,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | ((~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18))))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(158,plain,
% 0.56/0.80 ((~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))) | (~r1(X!16, Y!18)) | (~(p1(tptp_fun_X_1(Y!18)) | (~r1(Y!18, tptp_fun_X_1(Y!18)))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.56/0.80 tff(159,plain,
% 0.56/0.80 ($false),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[158, 125, 155, 76])).
% 0.56/0.80 tff(160,plain,(~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.81 tff(161,assumption,(~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 0.56/0.81 tff(162,plain,
% 0.56/0.81 ((p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(X!16, tptp_fun_Y_2(X!16))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(163,plain,
% 0.56/0.81 (r1(X!16, tptp_fun_Y_2(X!16))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[162, 161])).
% 0.56/0.81 tff(164,plain,
% 0.56/0.81 ((p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(165,plain,
% 0.56/0.81 (~p1(tptp_fun_Y_2(X!16))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[164, 161])).
% 0.56/0.81 tff(166,plain,
% 0.56/0.81 (^[Y: $i] : refl((p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 0.56/0.81 inference(bind,[status(th)],[])).
% 0.56/0.81 tff(167,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 0.56/0.81 inference(quant_intro,[status(thm)],[166])).
% 0.56/0.81 tff(168,plain,
% 0.56/0.81 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 0.56/0.81 inference(bind,[status(th)],[])).
% 0.56/0.81 tff(169,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 0.56/0.81 inference(quant_intro,[status(thm)],[168])).
% 0.56/0.81 tff(170,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 0.56/0.81 inference(and_elim,[status(thm)],[53])).
% 0.56/0.81 tff(171,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.56/0.81 tff(172,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[171, 167])).
% 0.56/0.81 tff(173,plain,
% 0.56/0.81 (((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(174,plain,
% 0.56/0.81 ((p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))))) <=> (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(175,plain,
% 0.56/0.81 (((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))))))),
% 0.56/0.81 inference(monotonicity,[status(thm)],[174])).
% 0.56/0.81 tff(176,plain,
% 0.56/0.81 (((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))),
% 0.56/0.81 inference(transitivity,[status(thm)],[175, 173])).
% 0.56/0.81 tff(177,plain,
% 0.56/0.81 ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(178,plain,
% 0.56/0.81 ((~![Y: $i] : (p1(Y) | (~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.56/0.81 tff(179,plain,
% 0.56/0.81 (~((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[178, 172, 165, 163])).
% 0.56/0.81 tff(180,plain,
% 0.56/0.81 (((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))) | r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(181,plain,
% 0.56/0.81 (r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[180, 179])).
% 0.56/0.81 tff(182,plain,
% 0.56/0.81 (((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))) | p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(183,plain,
% 0.56/0.81 (p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[182, 179])).
% 0.56/0.81 tff(184,plain,
% 0.56/0.81 ((p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(185,plain,
% 0.56/0.81 (![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[184, 161])).
% 0.56/0.81 tff(186,plain,
% 0.56/0.81 (((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(187,plain,
% 0.56/0.81 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(188,plain,
% 0.56/0.81 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.56/0.81 tff(189,plain,
% 0.56/0.81 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[188, 185, 183, 181])).
% 0.56/0.81 tff(190,plain,
% 0.56/0.81 (((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))) | r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(191,plain,
% 0.56/0.81 (r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[190, 179])).
% 0.56/0.81 tff(192,plain,
% 0.56/0.81 (((~p1(tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_Y_2(X!16), tptp_fun_X_5(tptp_fun_Y_2(X!16)))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))) | (~p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(193,plain,
% 0.56/0.81 (~p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16)))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[192, 179])).
% 0.56/0.81 tff(194,plain,
% 0.56/0.81 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(195,plain,
% 0.56/0.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16)))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(196,plain,
% 0.56/0.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_2(X!16))) | (~r1(tptp_fun_X_5(tptp_fun_Y_2(X!16)), tptp_fun_Y_6(tptp_fun_Y_2(X!16))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.56/0.81 tff(197,plain,
% 0.56/0.81 ($false),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[196, 193, 191, 189])).
% 0.56/0.81 tff(198,plain,(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.81 tff(199,plain,
% 0.56/0.81 (((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))) | ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(200,plain,
% 0.56/0.81 ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[199, 122])).
% 0.56/0.81 tff(201,plain,
% 0.56/0.81 ((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(202,plain,
% 0.56/0.81 ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[201, 200])).
% 0.56/0.81 tff(203,plain,
% 0.56/0.81 (p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[202, 198])).
% 0.56/0.81 tff(204,plain,
% 0.56/0.81 (p1(X!16)),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[203, 160])).
% 0.56/0.81 tff(205,plain,
% 0.56/0.81 (((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))) | (![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))),
% 0.56/0.81 inference(tautology,[status(thm)],[])).
% 0.56/0.81 tff(206,plain,
% 0.56/0.81 (![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[205, 122])).
% 0.56/0.82 tff(207,plain,
% 0.56/0.82 ((~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))))) | ![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(208,plain,
% 0.56/0.82 (![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[207, 206])).
% 0.56/0.82 tff(209,plain,
% 0.56/0.82 (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[208, 204, 154, 61])).
% 0.56/0.82 tff(210,plain,
% 0.56/0.82 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))) | (~p1(tptp_fun_X_8(X!16)))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(211,plain,
% 0.56/0.82 (~p1(tptp_fun_X_8(X!16))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[210, 209])).
% 0.56/0.82 tff(212,plain,
% 0.56/0.82 (((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16))))) | p1(tptp_fun_X_8(X!16))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(213,plain,
% 0.56/0.82 ((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[212, 211])).
% 0.56/0.82 tff(214,plain,
% 0.56/0.82 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))) | r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(215,plain,
% 0.56/0.82 (r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[214, 209])).
% 0.56/0.82 tff(216,plain,
% 0.56/0.82 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))) | r1(X!16, tptp_fun_Y_7(X!16))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(217,plain,
% 0.56/0.82 (r1(X!16, tptp_fun_Y_7(X!16))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[216, 209])).
% 0.56/0.82 tff(218,plain,
% 0.56/0.82 (((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!16) | ![Y: $i] : ((~r1(X!16, Y)) | (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y)))))))) | (~(![Y: $i] : ((~r1(X!16, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!16, Y))) | (~p1(X!16)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))))))) | ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(219,plain,
% 0.56/0.82 ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[218, 122])).
% 0.56/0.82 tff(220,plain,
% 0.56/0.82 ((~((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(221,plain,
% 0.56/0.82 ((~(p1(tptp_fun_Y_2(X!16)) | (~r1(X!16, tptp_fun_Y_2(X!16))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_2(X!16), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[220, 219])).
% 0.56/0.82 tff(222,plain,
% 0.56/0.82 (![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[221, 198])).
% 0.56/0.82 tff(223,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))), introduced(assumption)).
% 0.56/0.82 tff(224,assumption,(r1(X!16, tptp_fun_Y_7(X!16))), introduced(assumption)).
% 0.56/0.82 tff(225,assumption,(![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))), introduced(assumption)).
% 0.56/0.82 tff(226,plain,
% 0.56/0.82 (((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(227,plain,
% 0.56/0.82 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 0.56/0.82 inference(quant_inst,[status(thm)],[])).
% 0.56/0.82 tff(228,plain,
% 0.56/0.82 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.56/0.82 tff(229,plain,
% 0.56/0.82 ($false),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[228, 225, 224, 223])).
% 0.56/0.82 tff(230,plain,((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.82 tff(231,plain,
% 0.56/0.82 ((~r1(X!16, tptp_fun_Y_7(X!16))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[230, 222])).
% 0.56/0.82 tff(232,plain,
% 0.56/0.82 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[231, 217])).
% 0.56/0.82 tff(233,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))), introduced(assumption)).
% 0.56/0.82 tff(234,assumption,((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))), introduced(assumption)).
% 0.56/0.82 tff(235,assumption,(~p1(tptp_fun_X_8(X!16))), introduced(assumption)).
% 0.56/0.82 tff(236,assumption,(r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))), introduced(assumption)).
% 0.56/0.82 tff(237,plain,
% 0.56/0.82 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(238,plain,
% 0.56/0.82 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))))),
% 0.56/0.82 inference(quant_inst,[status(thm)],[])).
% 0.56/0.82 tff(239,plain,
% 0.56/0.82 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!16)) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.56/0.82 tff(240,plain,
% 0.56/0.82 ($false),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[239, 236, 235, 234, 233])).
% 0.56/0.82 tff(241,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.82 tff(242,plain,
% 0.56/0.82 (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[241, 232, 211, 215])).
% 0.56/0.82 tff(243,assumption,(~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))), introduced(assumption)).
% 0.56/0.82 tff(244,plain,
% 0.56/0.82 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))) | r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(245,plain,
% 0.56/0.82 (r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[244, 243])).
% 0.56/0.82 tff(246,plain,
% 0.56/0.82 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))) | p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))),
% 0.56/0.82 inference(tautology,[status(thm)],[])).
% 0.56/0.82 tff(247,plain,
% 0.56/0.82 (p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[246, 243])).
% 0.56/0.82 tff(248,assumption,(![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))), introduced(assumption)).
% 0.56/0.82 tff(249,plain,
% 0.56/0.82 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(250,plain,
% 0.56/0.82 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16))))) <=> ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(251,plain,
% 0.56/0.82 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))))),
% 0.56/0.82 inference(monotonicity,[status(thm)],[250])).
% 0.56/0.82 tff(252,plain,
% 0.56/0.82 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))))),
% 0.56/0.83 inference(transitivity,[status(thm)],[251, 249])).
% 0.56/0.83 tff(253,plain,
% 0.56/0.83 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(254,plain,
% 0.56/0.83 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.56/0.83 tff(255,plain,
% 0.56/0.83 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[254, 248, 247, 245])).
% 0.56/0.83 tff(256,plain,
% 0.56/0.83 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))) | r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))),
% 0.56/0.83 inference(tautology,[status(thm)],[])).
% 0.56/0.83 tff(257,plain,
% 0.56/0.83 (r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[256, 243])).
% 0.56/0.83 tff(258,plain,
% 0.56/0.83 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))) | (~p1(tptp_fun_X_10(tptp_fun_X_8(X!16))))),
% 0.56/0.83 inference(tautology,[status(thm)],[])).
% 0.56/0.83 tff(259,plain,
% 0.56/0.83 (~p1(tptp_fun_X_10(tptp_fun_X_8(X!16)))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[258, 243])).
% 0.56/0.83 tff(260,plain,
% 0.56/0.83 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(261,plain,
% 0.56/0.83 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16)))))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(262,plain,
% 0.56/0.83 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), X)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.56/0.83 tff(263,plain,
% 0.56/0.83 ($false),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[262, 259, 257, 255])).
% 0.56/0.83 tff(264,plain,(((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_9(tptp_fun_X_8(X!16)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!16)), tptp_fun_X_10(tptp_fun_X_8(X!16))))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.83 tff(265,plain,
% 0.56/0.83 (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[264, 242])).
% 0.56/0.83 tff(266,plain,
% 0.56/0.83 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | p1(tptp_fun_X_8(X!16)) | (~p1(tptp_fun_Y_7(X!16))) | (~r1(X!16, tptp_fun_Y_7(X!16)))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.56/0.83 inference(tautology,[status(thm)],[])).
% 0.56/0.83 tff(267,plain,
% 0.56/0.83 (![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[266, 209])).
% 0.56/0.83 tff(268,plain,
% 0.56/0.83 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(269,plain,
% 0.56/0.83 (((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!16), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) <=> ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(270,plain,
% 0.56/0.83 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!16), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))))),
% 0.56/0.83 inference(monotonicity,[status(thm)],[269])).
% 0.56/0.83 tff(271,plain,
% 0.56/0.83 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!16), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y))))),
% 0.56/0.83 inference(transitivity,[status(thm)],[270, 268])).
% 0.56/0.83 tff(272,plain,
% 0.56/0.83 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!16), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 0.56/0.84 inference(quant_inst,[status(thm)],[])).
% 0.56/0.84 tff(273,plain,
% 0.56/0.84 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!16), X)) | (~((~p1(X)) | p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!16), tptp_fun_X_8(X!16))) | (~((~p1(tptp_fun_X_8(X!16))) | p1(tptp_fun_Y_4(tptp_fun_X_8(X!16))) | (~r1(tptp_fun_X_8(X!16), tptp_fun_Y_4(tptp_fun_X_8(X!16)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!16), Y)))),
% 0.56/0.84 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.56/0.84 tff(274,plain,
% 0.56/0.84 ($false),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[273, 267, 215, 265, 213])).
% 0.56/0.84 % SZS output end Proof
% 0.56/0.84 % E exiting
%------------------------------------------------------------------------------