%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL658+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n031.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 03:00:28 PM UTC 2026
% Result : Theorem 31.44s 31.78s
% Output : Proof 31.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.06/0.34 % Computer : n031.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sat Sep 5 08:04:26 UTC 2026
% 0.06/0.34 % CPUTime :
% 31.44/31.78 % SZS status Theorem
% 31.44/31.78 % SZS output start Proof
% 31.44/31.78 tff(p1_type, type, (
% 31.44/31.78 p1: $i > $o)).
% 31.44/31.78 tff(tptp_fun_Y_9_type, type, (
% 31.44/31.78 tptp_fun_Y_9: $i > $i)).
% 31.44/31.78 tff(tptp_fun_Y_6_type, type, (
% 31.44/31.78 tptp_fun_Y_6: $i > $i)).
% 31.44/31.78 tff(tptp_fun_Y_20_type, type, (
% 31.44/31.78 tptp_fun_Y_20: $i)).
% 31.44/31.78 tff(r1_type, type, (
% 31.44/31.78 r1: ( $i * $i ) > $o)).
% 31.44/31.78 tff(tptp_fun_X_8_type, type, (
% 31.44/31.78 tptp_fun_X_8: $i > $i)).
% 31.44/31.78 tff(tptp_fun_X_5_type, type, (
% 31.44/31.78 tptp_fun_X_5: $i > $i)).
% 31.44/31.78 tff(tptp_fun_X_7_type, type, (
% 31.44/31.78 tptp_fun_X_7: $i > $i)).
% 31.44/31.78 tff(tptp_fun_Y_2_type, type, (
% 31.44/31.78 tptp_fun_Y_2: $i > $i)).
% 31.44/31.78 tff(tptp_fun_X_1_type, type, (
% 31.44/31.78 tptp_fun_X_1: $i > $i)).
% 31.44/31.78 tff(tptp_fun_X_4_type, type, (
% 31.44/31.78 tptp_fun_X_4: $i > $i)).
% 31.44/31.78 tff(tptp_fun_Y_3_type, type, (
% 31.44/31.78 tptp_fun_Y_3: $i > $i)).
% 31.44/31.78 tff(tptp_fun_X_19_type, type, (
% 31.44/31.78 tptp_fun_X_19: $i)).
% 31.44/31.78 tff(tptp_fun_Y_18_type, type, (
% 31.44/31.78 tptp_fun_Y_18: $i)).
% 31.44/31.78 tff(tptp_fun_X_17_type, type, (
% 31.44/31.78 tptp_fun_X_17: $i)).
% 31.44/31.78 tff(tptp_fun_Y_16_type, type, (
% 31.44/31.78 tptp_fun_Y_16: $i)).
% 31.44/31.78 tff(tptp_fun_X_15_type, type, (
% 31.44/31.78 tptp_fun_X_15: $i)).
% 31.44/31.78 tff(tptp_fun_Y_14_type, type, (
% 31.44/31.78 tptp_fun_Y_14: $i)).
% 31.44/31.78 tff(tptp_fun_X_13_type, type, (
% 31.44/31.78 tptp_fun_X_13: $i)).
% 31.44/31.78 tff(tptp_fun_Y_12_type, type, (
% 31.44/31.78 tptp_fun_Y_12: $i)).
% 31.44/31.78 tff(tptp_fun_X_11_type, type, (
% 31.44/31.78 tptp_fun_X_11: $i)).
% 31.44/31.78 tff(tptp_fun_Y_10_type, type, (
% 31.44/31.78 tptp_fun_Y_10: $i)).
% 31.44/31.78 tff(tptp_fun_X_0_type, type, (
% 31.44/31.78 tptp_fun_X_0: $i)).
% 31.44/31.78 tff(tptp_fun_X_22_type, type, (
% 31.44/31.78 tptp_fun_X_22: $i)).
% 31.44/31.78 tff(tptp_fun_X_21_type, type, (
% 31.44/31.78 tptp_fun_X_21: $i)).
% 31.44/31.78 tff(1,assumption,((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))), introduced(assumption)).
% 31.44/31.78 tff(2,assumption,((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))), introduced(assumption)).
% 31.44/31.78 tff(3,plain,
% 31.44/31.78 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) & (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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))))))),
% 31.44/31.80 inference(rewrite,[status(thm)],[])).
% 31.44/31.80 tff(4,plain,
% 31.44/31.80 (((r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(5,plain,
% 31.54/31.80 ((r1(X!0, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(6,plain,
% 31.54/31.80 ((r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(7,plain,
% 31.54/31.80 ((r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(8,plain,
% 31.54/31.80 ((r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(9,plain,
% 31.54/31.80 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(10,plain,
% 31.54/31.80 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.80 inference(rewrite,[status(thm)],[])).
% 31.54/31.80 tff(11,plain,
% 31.54/31.80 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(12,plain,
% 31.54/31.81 ((r1(Y!16, X!17) & (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(13,plain,
% 31.54/31.81 ((r1(X!17, Y!18) & (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(14,plain,
% 31.54/31.81 ((r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(15,plain,
% 31.54/31.81 ((r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(16,plain,
% 31.54/31.81 ((r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) <=> (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))))),
% 31.54/31.81 inference(rewrite,[status(thm)],[])).
% 31.54/31.81 tff(17,plain,
% 31.54/31.81 ((r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[16])).
% 31.54/31.81 tff(18,plain,
% 31.54/31.81 ((r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) <=> (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[17, 15])).
% 31.54/31.81 tff(19,plain,
% 31.54/31.81 ((r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[18])).
% 31.54/31.81 tff(20,plain,
% 31.54/31.81 ((r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))) <=> (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[19, 14])).
% 31.54/31.81 tff(21,plain,
% 31.54/31.81 ((r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))) <=> (r1(X!17, Y!18) & (r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[20])).
% 31.54/31.81 tff(22,plain,
% 31.54/31.81 ((r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))) <=> (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[21, 13])).
% 31.54/31.81 tff(23,plain,
% 31.54/31.81 ((r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))) <=> (r1(Y!16, X!17) & (r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[22])).
% 31.54/31.81 tff(24,plain,
% 31.54/31.81 ((r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))) <=> (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[23, 12])).
% 31.54/31.81 tff(25,plain,
% 31.54/31.81 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))) <=> (r1(X!15, Y!16) & (r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[24])).
% 31.54/31.81 tff(26,plain,
% 31.54/31.81 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[25, 11])).
% 31.54/31.81 tff(27,plain,
% 31.54/31.81 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))) <=> (r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[26])).
% 31.54/31.81 tff(28,plain,
% 31.54/31.81 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.81 inference(transitivity,[status(thm)],[27, 10])).
% 31.54/31.81 tff(29,plain,
% 31.54/31.81 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))) <=> (r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.81 inference(monotonicity,[status(thm)],[28])).
% 31.54/31.81 tff(30,plain,
% 31.54/31.81 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.82 inference(transitivity,[status(thm)],[29, 9])).
% 31.54/31.82 tff(31,plain,
% 31.54/31.82 ((r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))))) <=> (r1(Y!12, X!13) & (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.82 inference(monotonicity,[status(thm)],[30])).
% 31.54/31.82 tff(32,plain,
% 31.54/31.82 ((r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))))) <=> (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.82 inference(transitivity,[status(thm)],[31, 8])).
% 31.54/31.82 tff(33,plain,
% 31.54/31.82 ((r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))) <=> (r1(X!11, Y!12) & (r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.82 inference(monotonicity,[status(thm)],[32])).
% 31.54/31.82 tff(34,plain,
% 31.54/31.82 ((r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))) <=> (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.82 inference(transitivity,[status(thm)],[33, 7])).
% 31.54/31.82 tff(35,plain,
% 31.54/31.82 ((r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))))))) <=> (r1(Y!10, X!11) & (r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.82 inference(monotonicity,[status(thm)],[34])).
% 31.54/31.82 tff(36,plain,
% 31.54/31.82 ((r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))))))))))) <=> (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.82 inference(transitivity,[status(thm)],[35, 6])).
% 31.54/31.82 tff(37,plain,
% 31.54/31.82 ((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) <=> (r1(X!0, Y!10) & (r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))),
% 31.54/31.82 inference(monotonicity,[status(thm)],[36])).
% 31.54/31.82 tff(38,plain,
% 31.54/31.82 ((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) <=> (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))))),
% 31.54/31.82 inference(transitivity,[status(thm)],[37, 5])).
% 31.54/31.82 tff(39,plain,
% 31.54/31.82 (((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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))))))),
% 31.54/31.83 inference(monotonicity,[status(thm)],[38])).
% 31.54/31.83 tff(40,plain,
% 31.54/31.83 (((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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))))))),
% 31.54/31.83 inference(transitivity,[status(thm)],[39, 4])).
% 31.54/31.83 tff(41,plain,
% 31.54/31.83 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))))),
% 31.54/31.83 inference(bind,[status(th)],[])).
% 31.54/31.83 tff(42,plain,
% 31.54/31.83 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))))))))))))),
% 31.54/31.84 inference(quant_intro,[status(thm)],[41])).
% 31.54/31.84 tff(43,plain,
% 31.54/31.84 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) & (r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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)))))))),
% 31.54/31.85 inference(monotonicity,[status(thm)],[42, 40])).
% 31.54/31.85 tff(44,plain,
% 31.54/31.85 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_5(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) & ((r1(X!0, Y!10) & (r1(Y!10, X!11) & (r1(X!11, Y!12) & (r1(Y!12, X!13) & (r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (r1(X!17, Y!18) & (r1(Y!18, X!19) & (r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & (r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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))))))),
% 31.54/31.86 inference(transitivity,[status(thm)],[43, 3])).
% 31.54/31.86 tff(45,plain,
% 31.54/31.86 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.54/31.87 inference(rewrite,[status(thm)],[])).
% 31.54/31.87 tff(46,plain,
% 31.54/31.87 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.54/31.88 inference(rewrite,[status(thm)],[])).
% 31.54/31.88 tff(47,plain,
% 31.54/31.88 ((~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))) | (~![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)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(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] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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))) | ![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)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![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)) | ![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)) | ![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)) | ![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)))) | (~![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)) | 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)) | 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 31.64/31.90 inference(rewrite,[status(thm)],[])).
% 31.64/31.90 tff(48,plain,
% 31.64/31.90 ((~(~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))) | (~![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)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(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] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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))) | ![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)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![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)) | ![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)) | ![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)) | ![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)))) | (~![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)) | 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)) | 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 31.64/31.91 inference(monotonicity,[status(thm)],[47])).
% 31.64/31.91 tff(49,plain,
% 31.64/31.91 ((~(~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))) | (~![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)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(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] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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))) | ![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)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![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)) | ![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)) | ![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)) | ![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)))) | (~![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)) | 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)) | 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.64/31.92 inference(transitivity,[status(thm)],[48, 46])).
% 31.64/31.92 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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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)) | p1(X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, 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)))))) | (~![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)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(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] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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))) | ![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)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(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)) | ![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)) | ![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)) | ![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)) | ![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)))) | (~![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)) | 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)) | 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)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','main')).
% 31.64/31.93 tff(51,plain,
% 31.64/31.93 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.64/31.94 inference(modus_ponens,[status(thm)],[50, 49])).
% 31.64/31.94 tff(52,plain,
% 31.64/31.94 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![X: $i] : ((~r1(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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))) | ![X: $i] : ((~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))) | (~p1(X)) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, 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)))) | ![Y: $i] : ((~r1(X, 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))) | (~p1(X)))))) | (~![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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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] : ((~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] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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] : (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)) | (~![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] : (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] : (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] : (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] : (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] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.64/31.94 inference(modus_ponens,[status(thm)],[51, 45])).
% 31.64/31.94 tff(53,plain,
% 31.64/31.94 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![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))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) & r1(X!0, Y!10) & r1(Y!10, X!11) & r1(X!11, Y!12) & r1(Y!12, X!13) & r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & r1(X!17, Y!18) & r1(Y!18, X!19) & r1(X!19, Y!20) & (~(p1(X!21) | (~r1(Y!20, X!21)))) & r1(Y!20, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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(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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, 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)))))),
% 31.64/31.95 inference(modus_ponens,[status(thm)],[52, 44])).
% 31.64/31.95 tff(54,plain,
% 31.64/31.95 (r1(X!0, Y!10)),
% 31.64/31.95 inference(and_elim,[status(thm)],[53])).
% 31.64/31.95 tff(55,plain,
% 31.64/31.95 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))),
% 31.64/31.95 inference(bind,[status(th)],[])).
% 31.64/31.95 tff(56,plain,
% 31.64/31.95 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 31.64/31.95 inference(quant_intro,[status(thm)],[55])).
% 31.64/31.95 tff(57,plain,
% 31.64/31.95 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 31.64/31.95 inference(bind,[status(th)],[])).
% 31.64/31.95 tff(58,plain,
% 31.64/31.95 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.96 inference(quant_intro,[status(thm)],[57])).
% 31.64/31.96 tff(59,plain,
% 31.64/31.96 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 31.64/31.96 inference(bind,[status(th)],[])).
% 31.64/31.96 tff(60,plain,
% 31.64/31.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.96 inference(quant_intro,[status(thm)],[59])).
% 31.64/31.96 tff(61,plain,
% 31.64/31.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.96 inference(transitivity,[status(thm)],[60, 58])).
% 31.64/31.96 tff(62,plain,
% 31.64/31.96 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), 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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))))))))))))))))))),
% 31.64/31.96 inference(bind,[status(th)],[])).
% 31.64/31.96 tff(63,plain,
% 31.64/31.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.96 inference(quant_intro,[status(thm)],[62])).
% 31.64/31.96 tff(64,plain,
% 31.64/31.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (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_X_5(Y)) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_8(Y)) & (~(p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))) & p1(tptp_fun_X_8(Y))))) | ((~p1(tptp_fun_X_7(Y))) & r1(Y, tptp_fun_X_7(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))))))))))))),
% 31.64/31.96 inference(and_elim,[status(thm)],[53])).
% 31.64/31.96 tff(65,plain,
% 31.64/31.96 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.97 inference(modus_ponens,[status(thm)],[64, 63])).
% 31.64/31.97 tff(66,plain,
% 31.64/31.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~p1(X))) | (~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_7(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))))))))))))))))),
% 31.64/31.97 inference(modus_ponens,[status(thm)],[65, 61])).
% 31.64/31.97 tff(67,plain,
% 31.64/31.97 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 31.64/31.97 inference(modus_ponens,[status(thm)],[66, 56])).
% 31.64/31.97 tff(68,plain,
% 31.64/31.97 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), 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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 31.64/31.97 inference(rewrite,[status(thm)],[])).
% 31.64/31.97 tff(69,plain,
% 31.64/31.97 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 31.64/31.97 inference(quant_inst,[status(thm)],[])).
% 31.64/31.97 tff(70,plain,
% 31.64/31.97 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 31.64/31.97 inference(modus_ponens,[status(thm)],[69, 68])).
% 31.64/31.97 tff(71,plain,
% 31.64/31.97 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 31.64/31.97 inference(unit_resolution,[status(thm)],[70, 67, 54])).
% 31.64/31.97 tff(72,plain,
% 31.64/31.97 (r1(Y!10, X!11)),
% 31.64/31.97 inference(and_elim,[status(thm)],[53])).
% 31.64/31.97 tff(73,plain,
% 31.64/31.97 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 31.64/31.98 inference(rewrite,[status(thm)],[])).
% 31.64/31.98 tff(74,plain,
% 31.64/31.98 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 31.64/31.98 inference(quant_inst,[status(thm)],[])).
% 31.64/31.98 tff(75,plain,
% 31.64/31.98 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 31.64/31.98 inference(modus_ponens,[status(thm)],[74, 73])).
% 31.64/31.98 tff(76,plain,
% 31.64/31.98 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 31.64/31.98 inference(unit_resolution,[status(thm)],[75, 72, 71])).
% 31.64/31.98 tff(77,plain,
% 31.64/31.98 (r1(X!11, Y!12)),
% 31.64/31.98 inference(and_elim,[status(thm)],[53])).
% 31.64/31.98 tff(78,plain,
% 31.64/31.98 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 31.64/31.99 inference(rewrite,[status(thm)],[])).
% 31.64/31.99 tff(79,plain,
% 31.64/31.99 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 31.64/31.99 inference(quant_inst,[status(thm)],[])).
% 31.64/31.99 tff(80,plain,
% 31.64/31.99 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 31.64/31.99 inference(modus_ponens,[status(thm)],[79, 78])).
% 31.64/31.99 tff(81,plain,
% 31.64/31.99 (![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 31.64/31.99 inference(unit_resolution,[status(thm)],[80, 77, 76])).
% 31.64/31.99 tff(82,plain,
% 31.64/31.99 (r1(Y!12, X!13)),
% 31.64/31.99 inference(and_elim,[status(thm)],[53])).
% 31.64/31.99 tff(83,plain,
% 31.64/31.99 (((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 31.64/31.99 inference(rewrite,[status(thm)],[])).
% 31.64/31.99 tff(84,plain,
% 31.64/31.99 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 31.64/31.99 inference(quant_inst,[status(thm)],[])).
% 31.64/31.99 tff(85,plain,
% 31.64/31.99 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 31.64/31.99 inference(modus_ponens,[status(thm)],[84, 83])).
% 31.64/31.99 tff(86,plain,
% 31.64/31.99 (![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 31.64/32.00 inference(unit_resolution,[status(thm)],[85, 82, 81])).
% 31.64/32.00 tff(87,plain,
% 31.64/32.00 (r1(X!13, Y!14)),
% 31.64/32.00 inference(and_elim,[status(thm)],[53])).
% 31.64/32.00 tff(88,plain,
% 31.64/32.00 (((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 31.64/32.00 inference(rewrite,[status(thm)],[])).
% 31.64/32.00 tff(89,plain,
% 31.64/32.00 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 31.64/32.00 inference(quant_inst,[status(thm)],[])).
% 31.64/32.00 tff(90,plain,
% 31.64/32.00 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.64/32.00 inference(modus_ponens,[status(thm)],[89, 88])).
% 31.64/32.00 tff(91,plain,
% 31.64/32.00 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.64/32.00 inference(unit_resolution,[status(thm)],[90, 87, 86])).
% 31.64/32.00 tff(92,plain,
% 31.64/32.00 (r1(Y!14, X!15)),
% 31.64/32.00 inference(and_elim,[status(thm)],[53])).
% 31.64/32.00 tff(93,plain,
% 31.64/32.00 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.64/32.00 inference(rewrite,[status(thm)],[])).
% 31.64/32.00 tff(94,plain,
% 31.64/32.00 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.64/32.01 inference(quant_inst,[status(thm)],[])).
% 31.64/32.01 tff(95,plain,
% 31.64/32.01 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.64/32.01 inference(modus_ponens,[status(thm)],[94, 93])).
% 31.64/32.01 tff(96,plain,
% 31.64/32.01 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.64/32.01 inference(unit_resolution,[status(thm)],[95, 92, 91])).
% 31.64/32.01 tff(97,plain,
% 31.64/32.01 (r1(X!15, Y!16)),
% 31.64/32.01 inference(and_elim,[status(thm)],[53])).
% 31.64/32.01 tff(98,plain,
% 31.64/32.01 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.64/32.01 inference(rewrite,[status(thm)],[])).
% 31.64/32.01 tff(99,plain,
% 31.64/32.01 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.64/32.01 inference(quant_inst,[status(thm)],[])).
% 31.64/32.01 tff(100,plain,
% 31.64/32.01 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.64/32.01 inference(modus_ponens,[status(thm)],[99, 98])).
% 31.64/32.01 tff(101,plain,
% 31.64/32.01 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.64/32.01 inference(unit_resolution,[status(thm)],[100, 97, 96])).
% 31.64/32.01 tff(102,plain,
% 31.64/32.01 (r1(Y!16, X!17)),
% 31.64/32.01 inference(and_elim,[status(thm)],[53])).
% 31.64/32.01 tff(103,plain,
% 31.64/32.01 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.64/32.02 inference(rewrite,[status(thm)],[])).
% 31.64/32.02 tff(104,plain,
% 31.64/32.02 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.64/32.02 inference(quant_inst,[status(thm)],[])).
% 31.64/32.02 tff(105,plain,
% 31.64/32.02 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.64/32.02 inference(modus_ponens,[status(thm)],[104, 103])).
% 31.64/32.02 tff(106,plain,
% 31.64/32.02 (![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.64/32.02 inference(unit_resolution,[status(thm)],[105, 102, 101])).
% 31.64/32.02 tff(107,plain,
% 31.64/32.02 (r1(X!17, Y!18)),
% 31.64/32.02 inference(and_elim,[status(thm)],[53])).
% 31.64/32.02 tff(108,plain,
% 31.64/32.02 (((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.64/32.02 inference(rewrite,[status(thm)],[])).
% 31.64/32.02 tff(109,plain,
% 31.64/32.02 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.64/32.02 inference(quant_inst,[status(thm)],[])).
% 31.64/32.02 tff(110,plain,
% 31.64/32.02 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.64/32.03 inference(modus_ponens,[status(thm)],[109, 108])).
% 31.64/32.03 tff(111,plain,
% 31.64/32.03 (![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.64/32.03 inference(unit_resolution,[status(thm)],[110, 107, 106])).
% 31.64/32.03 tff(112,plain,
% 31.64/32.03 (r1(Y!18, X!19)),
% 31.64/32.03 inference(and_elim,[status(thm)],[53])).
% 31.64/32.03 tff(113,plain,
% 31.64/32.03 (((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.03 inference(rewrite,[status(thm)],[])).
% 31.77/32.03 tff(114,plain,
% 31.77/32.03 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.03 inference(quant_inst,[status(thm)],[])).
% 31.77/32.03 tff(115,plain,
% 31.77/32.03 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.04 inference(modus_ponens,[status(thm)],[114, 113])).
% 31.77/32.04 tff(116,plain,
% 31.77/32.04 (![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.04 inference(unit_resolution,[status(thm)],[115, 112, 111])).
% 31.77/32.04 tff(117,plain,
% 31.77/32.04 (r1(X!19, Y!20)),
% 31.77/32.04 inference(and_elim,[status(thm)],[53])).
% 31.77/32.04 tff(118,plain,
% 31.77/32.04 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))))))),
% 31.77/32.04 inference(rewrite,[status(thm)],[])).
% 31.77/32.04 tff(119,plain,
% 31.77/32.04 (((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) <=> ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))))))),
% 31.77/32.04 inference(rewrite,[status(thm)],[])).
% 31.77/32.04 tff(120,plain,
% 31.77/32.04 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))))),
% 31.77/32.04 inference(monotonicity,[status(thm)],[119])).
% 31.77/32.04 tff(121,plain,
% 31.77/32.04 (((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))))))),
% 31.77/32.05 inference(transitivity,[status(thm)],[120, 118])).
% 31.77/32.05 tff(122,plain,
% 31.77/32.05 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~p1(tptp_fun_X_5(Y!20))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y!20) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.05 inference(quant_inst,[status(thm)],[])).
% 31.77/32.05 tff(123,plain,
% 31.77/32.05 ((~![Y: $i] : ((~r1(X!19, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~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] : ((~r1(tptp_fun_X_5(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))) | (~(p1(tptp_fun_X_7(Y)) | (~r1(Y, tptp_fun_X_7(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!19, Y!20)) | (~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))),
% 31.77/32.05 inference(modus_ponens,[status(thm)],[122, 121])).
% 31.77/32.05 tff(124,plain,
% 31.77/32.05 ($false),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[123, 117, 116, 2])).
% 31.77/32.05 tff(125,plain,(~((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.05 tff(126,plain,
% 31.77/32.05 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | ((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(127,plain,
% 31.77/32.05 ((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[126, 125])).
% 31.77/32.05 tff(128,assumption,(~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))), introduced(assumption)).
% 31.77/32.05 tff(129,plain,
% 31.77/32.05 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(130,plain,
% 31.77/32.05 (![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[129, 128])).
% 31.77/32.05 tff(131,assumption,(~((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))), introduced(assumption)).
% 31.77/32.05 tff(132,plain,
% 31.77/32.05 (((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(133,plain,
% 31.77/32.05 (r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[132, 131])).
% 31.77/32.05 tff(134,plain,
% 31.77/32.05 (((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | (~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(135,plain,
% 31.77/32.05 (~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[134, 131])).
% 31.77/32.05 tff(136,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))), introduced(assumption)).
% 31.77/32.05 tff(137,assumption,(r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))), introduced(assumption)).
% 31.77/32.05 tff(138,assumption,(~p1(tptp_fun_X_4(tptp_fun_X_7(Y!20)))), introduced(assumption)).
% 31.77/32.05 tff(139,plain,
% 31.77/32.05 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | (p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))),
% 31.77/32.05 inference(rewrite,[status(thm)],[])).
% 31.77/32.05 tff(140,plain,
% 31.77/32.05 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | (p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))),
% 31.77/32.05 inference(quant_inst,[status(thm)],[])).
% 31.77/32.05 tff(141,plain,
% 31.77/32.05 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 31.77/32.05 inference(modus_ponens,[status(thm)],[140, 139])).
% 31.77/32.05 tff(142,plain,
% 31.77/32.05 ($false),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[141, 138, 137, 136])).
% 31.77/32.05 tff(143,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.05 tff(144,plain,
% 31.77/32.05 (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[143, 135, 133])).
% 31.77/32.05 tff(145,plain,
% 31.77/32.05 (((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(146,plain,
% 31.77/32.05 (r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[145, 131])).
% 31.77/32.05 tff(147,plain,
% 31.77/32.05 (((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(tautology,[status(thm)],[])).
% 31.77/32.05 tff(148,plain,
% 31.77/32.05 (p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[147, 131])).
% 31.77/32.05 tff(149,assumption,(![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 31.77/32.05 tff(150,plain,
% 31.77/32.05 (((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))),
% 31.77/32.05 inference(rewrite,[status(thm)],[])).
% 31.77/32.05 tff(151,plain,
% 31.77/32.05 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X))))),
% 31.77/32.05 inference(quant_inst,[status(thm)],[])).
% 31.77/32.05 tff(152,plain,
% 31.77/32.05 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), X)))),
% 31.77/32.05 inference(modus_ponens,[status(thm)],[151, 150])).
% 31.77/32.05 tff(153,plain,
% 31.77/32.05 ($false),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[152, 149, 148, 146, 144])).
% 31.77/32.05 tff(154,plain,(((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.05 tff(155,plain,
% 31.77/32.05 ((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))),
% 31.77/32.05 inference(unit_resolution,[status(thm)],[154, 130])).
% 31.77/32.06 tff(156,plain,
% 31.77/32.06 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | r1(Y!20, tptp_fun_X_7(Y!20))),
% 31.77/32.06 inference(tautology,[status(thm)],[])).
% 31.77/32.06 tff(157,plain,
% 31.77/32.06 (r1(Y!20, tptp_fun_X_7(Y!20))),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[156, 128])).
% 31.77/32.06 tff(158,plain,
% 31.77/32.06 ((p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_X_7(Y!20)))),
% 31.77/32.06 inference(tautology,[status(thm)],[])).
% 31.77/32.06 tff(159,plain,
% 31.77/32.06 (~p1(tptp_fun_X_7(Y!20))),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[158, 128])).
% 31.77/32.06 tff(160,plain,
% 31.77/32.06 (^[X: $i] : refl((p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) <=> (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))),
% 31.77/32.06 inference(bind,[status(th)],[])).
% 31.77/32.06 tff(161,plain,
% 31.77/32.06 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 31.77/32.06 inference(quant_intro,[status(thm)],[160])).
% 31.77/32.06 tff(162,plain,
% 31.77/32.06 (^[X: $i] : rewrite((p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) <=> (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))),
% 31.77/32.06 inference(bind,[status(th)],[])).
% 31.77/32.06 tff(163,plain,
% 31.77/32.06 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) <=> ![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 31.77/32.06 inference(quant_intro,[status(thm)],[162])).
% 31.77/32.06 tff(164,plain,
% 31.77/32.06 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (r1(X, tptp_fun_Y_3(X)) & p1(tptp_fun_Y_3(X)) & (~(p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))),
% 31.77/32.06 inference(and_elim,[status(thm)],[53])).
% 31.77/32.06 tff(165,plain,
% 31.77/32.06 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 31.77/32.06 inference(modus_ponens,[status(thm)],[164, 163])).
% 31.77/32.06 tff(166,plain,
% 31.77/32.06 (![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 31.77/32.06 inference(modus_ponens,[status(thm)],[165, 161])).
% 31.77/32.06 tff(167,plain,
% 31.77/32.06 (((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))),
% 31.77/32.06 inference(rewrite,[status(thm)],[])).
% 31.77/32.06 tff(168,plain,
% 31.77/32.06 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20)))))))),
% 31.77/32.06 inference(quant_inst,[status(thm)],[])).
% 31.77/32.06 tff(169,plain,
% 31.77/32.06 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~((~p1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | (~r1(tptp_fun_X_7(Y!20), tptp_fun_Y_3(tptp_fun_X_7(Y!20)))) | p1(tptp_fun_X_4(tptp_fun_X_7(Y!20))) | (~r1(tptp_fun_Y_3(tptp_fun_X_7(Y!20)), tptp_fun_X_4(tptp_fun_X_7(Y!20))))))),
% 31.77/32.06 inference(modus_ponens,[status(thm)],[168, 167])).
% 31.77/32.06 tff(170,plain,
% 31.77/32.06 ($false),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[169, 166, 159, 157, 155])).
% 31.77/32.06 tff(171,plain,(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.06 tff(172,plain,
% 31.77/32.06 ((~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.06 inference(tautology,[status(thm)],[])).
% 31.77/32.06 tff(173,plain,
% 31.77/32.06 ((~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[172, 171])).
% 31.77/32.06 tff(174,plain,
% 31.77/32.06 (![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[173, 127])).
% 31.77/32.06 tff(175,assumption,(~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))), introduced(assumption)).
% 31.77/32.06 tff(176,plain,
% 31.77/32.06 (((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | r1(X!22, tptp_fun_Y_3(X!22))),
% 31.77/32.06 inference(tautology,[status(thm)],[])).
% 31.77/32.06 tff(177,plain,
% 31.77/32.06 (r1(X!22, tptp_fun_Y_3(X!22))),
% 31.77/32.06 inference(unit_resolution,[status(thm)],[176, 175])).
% 31.77/32.06 tff(178,assumption,(~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 31.77/32.06 tff(179,plain,
% 31.77/32.06 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.77/32.06 inference(bind,[status(th)],[])).
% 31.77/32.06 tff(180,plain,
% 31.77/32.06 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(quant_intro,[status(thm)],[179])).
% 31.77/32.06 tff(181,plain,
% 31.77/32.06 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 31.77/32.06 inference(bind,[status(th)],[])).
% 31.77/32.06 tff(182,plain,
% 31.77/32.06 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(quant_intro,[status(thm)],[181])).
% 31.77/32.06 tff(183,plain,
% 31.77/32.06 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(transitivity,[status(thm)],[182, 180])).
% 31.77/32.06 tff(184,plain,
% 31.77/32.06 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(and_elim,[status(thm)],[53])).
% 31.77/32.06 tff(185,plain,
% 31.77/32.06 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(modus_ponens,[status(thm)],[184, 183])).
% 31.77/32.06 tff(186,plain,
% 31.77/32.06 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(rewrite,[status(thm)],[])).
% 31.77/32.06 tff(187,plain,
% 31.77/32.06 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | ((~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 31.77/32.06 inference(quant_inst,[status(thm)],[])).
% 31.77/32.06 tff(188,plain,
% 31.77/32.06 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) | (~r1(X!0, Y!10)) | ![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.77/32.07 inference(modus_ponens,[status(thm)],[187, 186])).
% 31.77/32.07 tff(189,plain,
% 31.77/32.07 (![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.77/32.07 inference(unit_resolution,[status(thm)],[188, 185, 54])).
% 31.77/32.07 tff(190,plain,
% 31.77/32.07 (((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.77/32.07 inference(rewrite,[status(thm)],[])).
% 31.77/32.07 tff(191,plain,
% 31.77/32.07 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | ((~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 31.77/32.07 inference(quant_inst,[status(thm)],[])).
% 31.77/32.07 tff(192,plain,
% 31.77/32.07 ((~![X: $i] : ((~r1(Y!10, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~r1(Y!10, X!11)) | ![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.77/32.07 inference(modus_ponens,[status(thm)],[191, 190])).
% 31.77/32.07 tff(193,plain,
% 31.77/32.07 (![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.77/32.07 inference(unit_resolution,[status(thm)],[192, 72, 189])).
% 31.77/32.07 tff(194,plain,
% 31.77/32.07 (((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.77/32.07 inference(rewrite,[status(thm)],[])).
% 31.77/32.07 tff(195,plain,
% 31.77/32.07 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | ((~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 31.77/32.07 inference(quant_inst,[status(thm)],[])).
% 31.77/32.07 tff(196,plain,
% 31.77/32.07 ((~![Y: $i] : ((~r1(X!11, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) | (~r1(X!11, Y!12)) | ![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.07 inference(modus_ponens,[status(thm)],[195, 194])).
% 31.77/32.07 tff(197,plain,
% 31.77/32.07 (![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.07 inference(unit_resolution,[status(thm)],[196, 77, 193])).
% 31.77/32.07 tff(198,plain,
% 31.77/32.07 (((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.07 inference(rewrite,[status(thm)],[])).
% 31.77/32.07 tff(199,plain,
% 31.77/32.07 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | ((~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 31.77/32.07 inference(quant_inst,[status(thm)],[])).
% 31.77/32.07 tff(200,plain,
% 31.77/32.07 ((~![X: $i] : ((~r1(Y!12, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))) | (~r1(Y!12, X!13)) | ![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.07 inference(modus_ponens,[status(thm)],[199, 198])).
% 31.77/32.07 tff(201,plain,
% 31.77/32.07 (![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.07 inference(unit_resolution,[status(thm)],[200, 82, 197])).
% 31.77/32.07 tff(202,plain,
% 31.77/32.07 (((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.07 inference(rewrite,[status(thm)],[])).
% 31.77/32.07 tff(203,plain,
% 31.77/32.07 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | ((~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 31.77/32.07 inference(quant_inst,[status(thm)],[])).
% 31.77/32.07 tff(204,plain,
% 31.77/32.07 ((~![Y: $i] : ((~r1(X!13, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) | (~r1(X!13, Y!14)) | ![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 31.77/32.07 inference(modus_ponens,[status(thm)],[203, 202])).
% 31.77/32.07 tff(205,plain,
% 31.77/32.07 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 31.77/32.07 inference(unit_resolution,[status(thm)],[204, 87, 201])).
% 31.77/32.07 tff(206,plain,
% 31.77/32.07 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 31.77/32.08 inference(rewrite,[status(thm)],[])).
% 31.77/32.08 tff(207,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 31.77/32.08 inference(quant_inst,[status(thm)],[])).
% 31.77/32.08 tff(208,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 31.77/32.08 inference(modus_ponens,[status(thm)],[207, 206])).
% 31.77/32.08 tff(209,plain,
% 31.77/32.08 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 31.77/32.08 inference(unit_resolution,[status(thm)],[208, 92, 205])).
% 31.77/32.08 tff(210,plain,
% 31.77/32.08 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 31.77/32.08 inference(rewrite,[status(thm)],[])).
% 31.77/32.08 tff(211,plain,
% 31.77/32.08 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 31.77/32.08 inference(quant_inst,[status(thm)],[])).
% 31.77/32.08 tff(212,plain,
% 31.77/32.08 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $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(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 31.77/32.08 inference(modus_ponens,[status(thm)],[211, 210])).
% 31.77/32.08 tff(213,plain,
% 31.77/32.08 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 31.77/32.08 inference(unit_resolution,[status(thm)],[212, 97, 209])).
% 31.77/32.08 tff(214,plain,
% 31.77/32.08 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 31.77/32.08 inference(rewrite,[status(thm)],[])).
% 31.77/32.08 tff(215,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 31.77/32.08 inference(quant_inst,[status(thm)],[])).
% 31.77/32.08 tff(216,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 31.77/32.08 inference(modus_ponens,[status(thm)],[215, 214])).
% 31.77/32.08 tff(217,plain,
% 31.77/32.08 (![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 31.77/32.08 inference(unit_resolution,[status(thm)],[216, 102, 213])).
% 31.77/32.08 tff(218,plain,
% 31.77/32.08 (((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 31.77/32.08 inference(rewrite,[status(thm)],[])).
% 31.77/32.08 tff(219,plain,
% 31.77/32.08 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | ((~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 31.77/32.08 inference(quant_inst,[status(thm)],[])).
% 31.77/32.08 tff(220,plain,
% 31.77/32.08 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~r1(X!17, Y!18)) | ![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 31.77/32.08 inference(modus_ponens,[status(thm)],[219, 218])).
% 31.77/32.08 tff(221,plain,
% 31.77/32.08 (![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 31.77/32.08 inference(unit_resolution,[status(thm)],[220, 107, 217])).
% 31.77/32.08 tff(222,plain,
% 31.77/32.08 (((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 31.77/32.08 inference(rewrite,[status(thm)],[])).
% 31.77/32.08 tff(223,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | ((~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 31.77/32.08 inference(quant_inst,[status(thm)],[])).
% 31.77/32.08 tff(224,plain,
% 31.77/32.08 ((~![X: $i] : ((~r1(Y!18, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) | (~r1(Y!18, X!19)) | ![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 31.77/32.08 inference(modus_ponens,[status(thm)],[223, 222])).
% 31.77/32.08 tff(225,plain,
% 31.77/32.08 (![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 31.77/32.08 inference(unit_resolution,[status(thm)],[224, 112, 221])).
% 31.77/32.08 tff(226,plain,
% 31.77/32.08 (((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ((~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(227,plain,
% 31.77/32.09 ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ((~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(228,plain,
% 31.77/32.09 ((~![Y: $i] : ((~r1(X!19, Y)) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | (~r1(X!19, Y!20)) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[227, 226])).
% 31.77/32.09 tff(229,plain,
% 31.77/32.09 (![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[228, 117, 225])).
% 31.77/32.09 tff(230,assumption,(~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))), introduced(assumption)).
% 31.77/32.09 tff(231,plain,
% 31.77/32.09 ((p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))) | r1(X!22, tptp_fun_Y_2(X!22))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(232,plain,
% 31.77/32.09 (r1(X!22, tptp_fun_Y_2(X!22))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[231, 230])).
% 31.77/32.09 tff(233,plain,
% 31.77/32.09 ((p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))) | (~p1(tptp_fun_Y_2(X!22)))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(234,plain,
% 31.77/32.09 (~p1(tptp_fun_Y_2(X!22))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[233, 230])).
% 31.77/32.09 tff(235,plain,
% 31.77/32.09 (^[Y: $i] : refl((p1(Y) | (~r1(X!22, Y))) <=> (p1(Y) | (~r1(X!22, Y))))),
% 31.77/32.09 inference(bind,[status(th)],[])).
% 31.77/32.09 tff(236,plain,
% 31.77/32.09 (![Y: $i] : (p1(Y) | (~r1(X!22, Y))) <=> ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 31.77/32.09 inference(quant_intro,[status(thm)],[235])).
% 31.77/32.09 tff(237,plain,
% 31.77/32.09 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 31.77/32.09 inference(and_elim,[status(thm)],[53])).
% 31.77/32.09 tff(238,plain,
% 31.77/32.09 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[237, 236])).
% 31.77/32.09 tff(239,plain,
% 31.77/32.09 (((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(240,plain,
% 31.77/32.09 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(241,plain,
% 31.77/32.09 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[240, 239])).
% 31.77/32.09 tff(242,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[241, 238, 234, 232])).
% 31.77/32.09 tff(243,plain,(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(244,plain,
% 31.77/32.09 (r1(Y!20, X!22)),
% 31.77/32.09 inference(and_elim,[status(thm)],[53])).
% 31.77/32.09 tff(245,plain,
% 31.77/32.09 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(246,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(247,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[246, 245])).
% 31.77/32.09 tff(248,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[247, 244, 243, 229, 178])).
% 31.77/32.09 tff(249,plain,(![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(250,assumption,(![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 31.77/32.09 tff(251,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))), introduced(assumption)).
% 31.77/32.09 tff(252,assumption,(r1(X!22, tptp_fun_Y_3(X!22))), introduced(assumption)).
% 31.77/32.09 tff(253,plain,
% 31.77/32.09 (((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))) <=> ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(254,plain,
% 31.77/32.09 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(255,plain,
% 31.77/32.09 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[254, 253])).
% 31.77/32.09 tff(256,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[255, 252, 251, 250])).
% 31.77/32.09 tff(257,plain,((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(258,plain,
% 31.77/32.09 ((~r1(X!22, tptp_fun_Y_3(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[257, 249])).
% 31.77/32.09 tff(259,plain,
% 31.77/32.09 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[258, 177])).
% 31.77/32.09 tff(260,plain,
% 31.77/32.09 (((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(261,plain,
% 31.77/32.09 (r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[260, 175])).
% 31.77/32.09 tff(262,plain,
% 31.77/32.09 (((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))) | (~p1(tptp_fun_X_4(X!22)))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(263,plain,
% 31.77/32.09 (~p1(tptp_fun_X_4(X!22))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[262, 175])).
% 31.77/32.09 tff(264,plain,
% 31.77/32.09 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | (p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(265,plain,
% 31.77/32.09 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | (p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(266,plain,
% 31.77/32.09 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_3(X!22), X)))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[265, 264])).
% 31.77/32.09 tff(267,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[266, 263, 261, 259])).
% 31.77/32.09 tff(268,plain,((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(269,assumption,(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))), introduced(assumption)).
% 31.77/32.09 tff(270,assumption,((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))), introduced(assumption)).
% 31.77/32.09 tff(271,plain,
% 31.77/32.09 (((~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | ((~r1(Y!20, X!22)) | (~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (~r1(Y!20, X!22)) | (~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(272,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | ((~r1(Y!20, X!22)) | (~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(273,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))) | (~r1(Y!20, X!22)) | (~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22)))))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[272, 271])).
% 31.77/32.09 tff(274,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[273, 244, 270, 269])).
% 31.77/32.09 tff(275,plain,((~((~p1(tptp_fun_Y_3(X!22))) | (~r1(X!22, tptp_fun_Y_3(X!22))) | p1(tptp_fun_X_4(X!22)) | (~r1(tptp_fun_Y_3(X!22), tptp_fun_X_4(X!22))))) | (~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(276,plain,
% 31.77/32.09 (~![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X))))))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[275, 268])).
% 31.77/32.09 tff(277,plain,
% 31.77/32.09 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | (![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(278,plain,
% 31.77/32.09 (![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[277, 125])).
% 31.77/32.09 tff(279,plain,
% 31.77/32.09 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))))) | (~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) | (p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(280,plain,
% 31.77/32.09 (p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[279, 125])).
% 31.77/32.09 tff(281,assumption,(![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))), introduced(assumption)).
% 31.77/32.09 tff(282,plain,
% 31.77/32.09 (((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(283,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | ((~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22))))))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(284,plain,
% 31.77/32.09 ((~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) | (~r1(Y!20, X!22)) | (~(p1(tptp_fun_Y_2(X!22)) | (~r1(X!22, tptp_fun_Y_2(X!22)))))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[283, 282])).
% 31.77/32.09 tff(285,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[284, 244, 243, 281])).
% 31.77/32.09 tff(286,plain,(~![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(287,plain,
% 31.77/32.09 ((~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(288,plain,
% 31.77/32.09 ((~(p1(Y!20) | (~(p1(tptp_fun_X_7(Y!20)) | (~r1(Y!20, tptp_fun_X_7(Y!20))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_7(Y!20), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X)))))))) | p1(Y!20)),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[287, 286, 171])).
% 31.77/32.09 tff(289,plain,
% 31.77/32.09 (p1(Y!20)),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[288, 280])).
% 31.77/32.09 tff(290,assumption,(![X: $i] : (p1(X) | (~r1(Y!20, X)))), introduced(assumption)).
% 31.77/32.09 tff(291,plain,
% 31.77/32.09 (~(p1(X!21) | (~r1(Y!20, X!21)))),
% 31.77/32.09 inference(and_elim,[status(thm)],[53])).
% 31.77/32.09 tff(292,plain,
% 31.77/32.09 (r1(Y!20, X!21)),
% 31.77/32.09 inference(or_elim,[status(thm)],[291])).
% 31.77/32.09 tff(293,plain,
% 31.77/32.09 (~p1(X!21)),
% 31.77/32.09 inference(or_elim,[status(thm)],[291])).
% 31.77/32.09 tff(294,plain,
% 31.77/32.09 (((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(X!21) | (~r1(Y!20, X!21)))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(X!21) | (~r1(Y!20, X!21)))),
% 31.77/32.09 inference(rewrite,[status(thm)],[])).
% 31.77/32.09 tff(295,plain,
% 31.77/32.09 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | (p1(X!21) | (~r1(Y!20, X!21)))),
% 31.77/32.09 inference(quant_inst,[status(thm)],[])).
% 31.77/32.09 tff(296,plain,
% 31.77/32.09 ((~![X: $i] : (p1(X) | (~r1(Y!20, X)))) | p1(X!21) | (~r1(Y!20, X!21))),
% 31.77/32.09 inference(modus_ponens,[status(thm)],[295, 294])).
% 31.77/32.09 tff(297,plain,
% 31.77/32.09 ($false),
% 31.77/32.09 inference(unit_resolution,[status(thm)],[296, 293, 292, 290])).
% 31.77/32.09 tff(298,plain,(~![X: $i] : (p1(X) | (~r1(Y!20, X)))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.09 tff(299,plain,
% 31.77/32.09 ((~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 31.77/32.09 inference(tautology,[status(thm)],[])).
% 31.77/32.09 tff(300,plain,
% 31.77/32.09 ((~(![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | ![X: $i] : (p1(X) | (~r1(Y!20, X))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | ![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~p1(Y!20)) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[299, 298])).
% 31.77/32.10 tff(301,plain,
% 31.77/32.10 (![X: $i] : ((~r1(Y!20, X)) | (~((~p1(tptp_fun_Y_3(X))) | (~r1(X, tptp_fun_Y_3(X))) | p1(tptp_fun_X_4(X)) | (~r1(tptp_fun_Y_3(X), tptp_fun_X_4(X)))))) | (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[300, 289, 278])).
% 31.77/32.10 tff(302,plain,
% 31.77/32.10 (~((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[301, 276])).
% 31.77/32.10 tff(303,plain,
% 31.77/32.10 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | r1(Y!20, tptp_fun_X_5(Y!20))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(304,plain,
% 31.77/32.10 (r1(Y!20, tptp_fun_X_5(Y!20))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[303, 302])).
% 31.77/32.10 tff(305,plain,
% 31.77/32.10 (((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) <=> ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.10 inference(rewrite,[status(thm)],[])).
% 31.77/32.10 tff(306,plain,
% 31.77/32.10 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | ((~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))),
% 31.77/32.10 inference(quant_inst,[status(thm)],[])).
% 31.77/32.10 tff(307,plain,
% 31.77/32.10 ((~![X: $i] : ((~r1(Y!20, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y)))))))) | (~r1(Y!20, tptp_fun_X_5(Y!20))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))),
% 31.77/32.10 inference(modus_ponens,[status(thm)],[306, 305])).
% 31.77/32.10 tff(308,plain,
% 31.77/32.10 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[307, 304, 174])).
% 31.77/32.10 tff(309,plain,
% 31.77/32.10 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | (~p1(tptp_fun_Y_6(Y!20)))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(310,plain,
% 31.77/32.10 (~p1(tptp_fun_Y_6(Y!20))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[309, 302])).
% 31.77/32.10 tff(311,plain,
% 31.77/32.10 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(312,plain,
% 31.77/32.10 (r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[311, 302])).
% 31.77/32.10 tff(313,plain,
% 31.77/32.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))))),
% 31.77/32.10 inference(rewrite,[status(thm)],[])).
% 31.77/32.10 tff(314,plain,
% 31.77/32.10 ((p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))))) <=> (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))))),
% 31.77/32.10 inference(rewrite,[status(thm)],[])).
% 31.77/32.10 tff(315,plain,
% 31.77/32.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))))),
% 31.77/32.10 inference(monotonicity,[status(thm)],[314])).
% 31.77/32.10 tff(316,plain,
% 31.77/32.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))))),
% 31.77/32.10 inference(transitivity,[status(thm)],[315, 313])).
% 31.77/32.10 tff(317,plain,
% 31.77/32.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | (p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))))),
% 31.77/32.10 inference(quant_inst,[status(thm)],[])).
% 31.77/32.10 tff(318,plain,
% 31.77/32.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(tptp_fun_X_8(Y))) | (~r1(Y, tptp_fun_X_8(Y))) | p1(tptp_fun_Y_9(Y)) | (~r1(tptp_fun_X_8(Y), tptp_fun_Y_9(Y))))))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))),
% 31.77/32.10 inference(modus_ponens,[status(thm)],[317, 316])).
% 31.77/32.10 tff(319,plain,
% 31.77/32.10 ($false),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[318, 312, 310, 308, 1])).
% 31.77/32.10 tff(320,plain,(~((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.10 tff(321,plain,
% 31.77/32.10 (((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | (~p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(322,plain,
% 31.77/32.10 (~p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[321, 320])).
% 31.77/32.10 tff(323,plain,
% 31.77/32.10 (((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(324,plain,
% 31.77/32.10 (r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[323, 320])).
% 31.77/32.10 tff(325,plain,
% 31.77/32.10 (((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20))))) | p1(tptp_fun_Y_6(Y!20))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(326,plain,
% 31.77/32.10 ((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[325, 310])).
% 31.77/32.10 tff(327,plain,
% 31.77/32.10 (((~r1(Y!20, tptp_fun_X_5(Y!20))) | (~p1(tptp_fun_X_5(Y!20))) | p1(tptp_fun_Y_6(Y!20)) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 31.77/32.10 inference(tautology,[status(thm)],[])).
% 31.77/32.10 tff(328,plain,
% 31.77/32.10 (![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 31.77/32.10 inference(unit_resolution,[status(thm)],[327, 302])).
% 31.77/32.10 tff(329,plain,
% 31.77/32.10 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X))))),
% 31.77/32.10 inference(rewrite,[status(thm)],[])).
% 31.77/32.10 tff(330,plain,
% 31.77/32.10 (((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(tptp_fun_Y_6(Y!20), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) <=> ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X))))),
% 31.77/32.10 inference(rewrite,[status(thm)],[])).
% 31.77/32.10 tff(331,plain,
% 31.77/32.10 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(tptp_fun_Y_6(Y!20), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))))),
% 31.77/32.10 inference(monotonicity,[status(thm)],[330])).
% 31.77/32.10 tff(332,plain,
% 31.77/32.10 (((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(tptp_fun_Y_6(Y!20), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X))))),
% 31.77/32.10 inference(transitivity,[status(thm)],[331, 329])).
% 31.77/32.10 tff(333,plain,
% 31.77/32.10 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~r1(tptp_fun_Y_6(Y!20), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 31.77/32.10 inference(quant_inst,[status(thm)],[])).
% 31.77/32.10 tff(334,plain,
% 31.77/32.10 ((~![Y: $i] : ((~r1(tptp_fun_X_5(Y!20), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_1(Y)) | (~r1(Y, tptp_fun_X_1(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_5(Y!20), tptp_fun_Y_6(Y!20))) | (~((~p1(tptp_fun_Y_6(Y!20))) | p1(tptp_fun_X_1(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_1(tptp_fun_Y_6(Y!20)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))),
% 31.77/32.10 inference(modus_ponens,[status(thm)],[333, 332])).
% 31.77/32.10 tff(335,plain,
% 31.77/32.11 (![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))),
% 31.77/32.11 inference(unit_resolution,[status(thm)],[334, 312, 328, 326])).
% 31.77/32.11 tff(336,plain,
% 31.77/32.11 (((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))),
% 31.77/32.11 inference(tautology,[status(thm)],[])).
% 31.77/32.11 tff(337,plain,
% 31.77/32.11 (p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))),
% 31.77/32.11 inference(unit_resolution,[status(thm)],[336, 320])).
% 31.77/32.11 tff(338,plain,
% 31.77/32.11 (((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))) | r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))),
% 31.77/32.11 inference(tautology,[status(thm)],[])).
% 31.77/32.11 tff(339,plain,
% 31.77/32.11 (r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))),
% 31.77/32.11 inference(unit_resolution,[status(thm)],[338, 320])).
% 31.77/32.11 tff(340,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))), introduced(assumption)).
% 31.77/32.11 tff(341,plain,
% 31.77/32.11 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | (~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))))),
% 31.77/32.11 inference(rewrite,[status(thm)],[])).
% 31.77/32.11 tff(342,plain,
% 31.77/32.11 (((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20))))) <=> ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))))),
% 31.77/32.11 inference(rewrite,[status(thm)],[])).
% 31.77/32.11 tff(343,plain,
% 31.77/32.11 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))))),
% 31.77/32.11 inference(monotonicity,[status(thm)],[342])).
% 31.77/32.11 tff(344,plain,
% 31.77/32.11 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | (~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))))),
% 31.77/32.12 inference(transitivity,[status(thm)],[343, 341])).
% 31.77/32.12 tff(345,plain,
% 31.77/32.12 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | ((~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))))),
% 31.77/32.12 inference(quant_inst,[status(thm)],[])).
% 31.77/32.12 tff(346,plain,
% 31.77/32.12 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_6(Y!20), X)))) | (~p1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | (~r1(tptp_fun_Y_6(Y!20), tptp_fun_X_8(tptp_fun_Y_6(Y!20)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))),
% 31.77/32.12 inference(modus_ponens,[status(thm)],[345, 344])).
% 31.77/32.12 tff(347,plain,
% 31.77/32.12 ($false),
% 31.77/32.12 inference(unit_resolution,[status(thm)],[346, 340, 339, 337, 335])).
% 31.77/32.12 tff(348,plain,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))), inference(lemma,lemma(discharge,[]))).
% 31.77/32.12 tff(349,plain,
% 31.77/32.12 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))) | (p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))),
% 31.77/32.12 inference(rewrite,[status(thm)],[])).
% 31.77/32.12 tff(350,plain,
% 31.77/32.12 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))) | (p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20)))))),
% 31.77/32.12 inference(quant_inst,[status(thm)],[])).
% 31.77/32.12 tff(351,plain,
% 31.77/32.12 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), Y)))) | p1(tptp_fun_Y_9(tptp_fun_Y_6(Y!20))) | (~r1(tptp_fun_X_8(tptp_fun_Y_6(Y!20)), tptp_fun_Y_9(tptp_fun_Y_6(Y!20))))),
% 31.77/32.12 inference(modus_ponens,[status(thm)],[350, 349])).
% 31.77/32.12 tff(352,plain,
% 31.77/32.12 ($false),
% 31.77/32.12 inference(unit_resolution,[status(thm)],[351, 348, 324, 322])).
% 31.77/32.12 % SZS output end Proof
% 0.12/32.13 % E exiting
%------------------------------------------------------------------------------