%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL658+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 2.89s 3.13s
% Output : Proof 3.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL658+1.015 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 05:28:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 2.89/3.13 % SZS status Theorem
% 2.89/3.13 % SZS output start Proof
% 2.89/3.13 tff(r1_type, type, (
% 2.89/3.13 r1: ( $i * $i ) > $o)).
% 2.89/3.13 tff(tptp_fun_Y_8_type, type, (
% 2.89/3.13 tptp_fun_Y_8: $i > $i)).
% 2.89/3.13 tff(tptp_fun_X_6_type, type, (
% 2.89/3.13 tptp_fun_X_6: $i > $i)).
% 2.89/3.13 tff(tptp_fun_X_17_type, type, (
% 2.89/3.13 tptp_fun_X_17: $i)).
% 2.89/3.13 tff(p1_type, type, (
% 2.89/3.13 p1: $i > $o)).
% 2.89/3.13 tff(tptp_fun_X_9_type, type, (
% 2.89/3.13 tptp_fun_X_9: $i > $i)).
% 2.89/3.13 tff(tptp_fun_Y_5_type, type, (
% 2.89/3.13 tptp_fun_Y_5: $i > $i)).
% 2.89/3.13 tff(tptp_fun_Y_1_type, type, (
% 2.89/3.13 tptp_fun_Y_1: $i > $i)).
% 2.89/3.13 tff(tptp_fun_Y_4_type, type, (
% 2.89/3.13 tptp_fun_Y_4: $i > $i)).
% 2.89/3.13 tff(tptp_fun_X_3_type, type, (
% 2.89/3.13 tptp_fun_X_3: $i > $i)).
% 2.89/3.13 tff(tptp_fun_Y_19_type, type, (
% 2.89/3.13 tptp_fun_Y_19: $i)).
% 2.89/3.13 tff(tptp_fun_X_2_type, type, (
% 2.89/3.13 tptp_fun_X_2: $i > $i)).
% 2.89/3.13 tff(tptp_fun_X_0_type, type, (
% 2.89/3.13 tptp_fun_X_0: $i)).
% 2.89/3.13 tff(tptp_fun_Y_18_type, type, (
% 2.89/3.13 tptp_fun_Y_18: $i)).
% 2.89/3.13 tff(tptp_fun_Y_16_type, type, (
% 2.89/3.13 tptp_fun_Y_16: $i)).
% 2.89/3.13 tff(tptp_fun_X_15_type, type, (
% 2.89/3.13 tptp_fun_X_15: $i)).
% 2.89/3.13 tff(tptp_fun_Y_14_type, type, (
% 2.89/3.13 tptp_fun_Y_14: $i)).
% 2.89/3.13 tff(tptp_fun_X_13_type, type, (
% 2.89/3.13 tptp_fun_X_13: $i)).
% 2.89/3.13 tff(tptp_fun_Y_12_type, type, (
% 2.89/3.13 tptp_fun_Y_12: $i)).
% 2.89/3.13 tff(tptp_fun_X_11_type, type, (
% 2.89/3.13 tptp_fun_X_11: $i)).
% 2.89/3.13 tff(tptp_fun_Y_10_type, type, (
% 2.89/3.13 tptp_fun_Y_10: $i)).
% 2.89/3.13 tff(tptp_fun_Y_7_type, type, (
% 2.89/3.13 tptp_fun_Y_7: $i > $i)).
% 2.89/3.13 tff(1,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))), introduced(assumption)).
% 2.89/3.13 tff(2,assumption,(![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))), introduced(assumption)).
% 2.89/3.13 tff(3,assumption,(~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))), introduced(assumption)).
% 2.89/3.13 tff(4,plain,
% 2.89/3.13 ((p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))) | (~p1(tptp_fun_X_2(Y!19)))),
% 2.89/3.13 inference(tautology,[status(thm)],[])).
% 2.89/3.13 tff(5,plain,
% 2.89/3.13 (~p1(tptp_fun_X_2(Y!19))),
% 2.89/3.13 inference(unit_resolution,[status(thm)],[4, 3])).
% 2.89/3.13 tff(6,plain,
% 2.89/3.13 ((p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))) | r1(Y!19, tptp_fun_X_2(Y!19))),
% 2.89/3.13 inference(tautology,[status(thm)],[])).
% 2.89/3.13 tff(7,plain,
% 2.89/3.13 (r1(Y!19, tptp_fun_X_2(Y!19))),
% 2.89/3.13 inference(unit_resolution,[status(thm)],[6, 3])).
% 2.89/3.13 tff(8,assumption,(r1(Y!19, tptp_fun_X_2(Y!19))), introduced(assumption)).
% 2.89/3.13 tff(9,assumption,(~p1(tptp_fun_X_2(Y!19))), introduced(assumption)).
% 2.89/3.13 tff(10,plain,
% 2.89/3.13 (^[X: $i] : refl((p1(X) | (~r1(Y!19, X))) <=> (p1(X) | (~r1(Y!19, X))))),
% 2.89/3.13 inference(bind,[status(th)],[])).
% 2.89/3.13 tff(11,plain,
% 2.89/3.13 (![X: $i] : (p1(X) | (~r1(Y!19, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 2.89/3.13 inference(quant_intro,[status(thm)],[10])).
% 2.89/3.13 tff(12,plain,
% 2.89/3.13 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.89/3.14 inference(rewrite,[status(thm)],[])).
% 2.89/3.14 tff(13,plain,
% 2.89/3.14 (((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.89/3.14 inference(rewrite,[status(thm)],[])).
% 2.89/3.14 tff(14,plain,
% 2.89/3.14 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.14 inference(rewrite,[status(thm)],[])).
% 2.89/3.14 tff(15,plain,
% 2.89/3.14 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.14 inference(rewrite,[status(thm)],[])).
% 2.89/3.14 tff(16,plain,
% 2.89/3.14 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(17,plain,
% 2.89/3.15 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(18,plain,
% 2.89/3.15 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(19,plain,
% 2.89/3.15 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(20,plain,
% 2.89/3.15 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(21,plain,
% 2.89/3.15 ((r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(22,plain,
% 2.89/3.15 ((r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) <=> (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))))),
% 2.89/3.15 inference(rewrite,[status(thm)],[])).
% 2.89/3.15 tff(23,plain,
% 2.89/3.15 ((r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[22])).
% 2.89/3.15 tff(24,plain,
% 2.89/3.15 ((r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))) <=> (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(transitivity,[status(thm)],[23, 21])).
% 2.89/3.15 tff(25,plain,
% 2.89/3.15 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[24])).
% 2.89/3.15 tff(26,plain,
% 2.89/3.15 ((r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))) <=> (r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(transitivity,[status(thm)],[25, 20])).
% 2.89/3.15 tff(27,plain,
% 2.89/3.15 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))) <=> (r1(Y!14, X!15) & (r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[26])).
% 2.89/3.15 tff(28,plain,
% 2.89/3.15 ((r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))) <=> (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(transitivity,[status(thm)],[27, 19])).
% 2.89/3.15 tff(29,plain,
% 2.89/3.15 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))) <=> (r1(X!13, Y!14) & (r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[28])).
% 2.89/3.15 tff(30,plain,
% 2.89/3.15 ((r1(X!13, Y!14) & (r1(Y!14, X!15) & (r1(X!15, Y!16) & (r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))) <=> (r1(X!13, Y!14) & r1(Y!14, X!15) & r1(X!15, Y!16) & r1(Y!16, X!17) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(transitivity,[status(thm)],[29, 18])).
% 2.89/3.15 tff(31,plain,
% 2.89/3.15 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[30])).
% 2.89/3.15 tff(32,plain,
% 2.89/3.15 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.15 inference(transitivity,[status(thm)],[31, 17])).
% 2.89/3.15 tff(33,plain,
% 2.89/3.15 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.15 inference(monotonicity,[status(thm)],[32])).
% 2.89/3.15 tff(34,plain,
% 2.89/3.15 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.16 inference(transitivity,[status(thm)],[33, 16])).
% 2.89/3.16 tff(35,plain,
% 2.89/3.16 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.16 inference(monotonicity,[status(thm)],[34])).
% 2.89/3.16 tff(36,plain,
% 2.89/3.16 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))))))) <=> (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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.16 inference(transitivity,[status(thm)],[35, 15])).
% 2.89/3.16 tff(37,plain,
% 2.89/3.16 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))))),
% 2.89/3.16 inference(monotonicity,[status(thm)],[36])).
% 2.89/3.16 tff(38,plain,
% 2.89/3.16 ((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))))),
% 2.89/3.16 inference(transitivity,[status(thm)],[37, 14])).
% 2.89/3.16 tff(39,plain,
% 2.89/3.16 (((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.89/3.16 inference(monotonicity,[status(thm)],[38])).
% 2.89/3.16 tff(40,plain,
% 2.89/3.16 (((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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.89/3.16 inference(transitivity,[status(thm)],[39, 13])).
% 2.89/3.16 tff(41,plain,
% 2.89/3.16 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))))))))))),
% 2.89/3.17 inference(bind,[status(th)],[])).
% 2.89/3.17 tff(42,plain,
% 2.89/3.17 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))))))))))))),
% 2.89/3.17 inference(quant_intro,[status(thm)],[41])).
% 2.89/3.17 tff(43,plain,
% 2.89/3.17 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 2.89/3.18 inference(monotonicity,[status(thm)],[42, 40])).
% 2.89/3.18 tff(44,plain,
% 2.89/3.18 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~p1(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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & (r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.89/3.19 inference(transitivity,[status(thm)],[43, 12])).
% 2.89/3.19 tff(45,plain,
% 2.89/3.19 (?[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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))),
% 2.89/3.19 inference(rewrite,[status(thm)],[])).
% 2.89/3.19 tff(46,plain,
% 2.89/3.19 ((~(~?[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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))),
% 2.96/3.20 inference(rewrite,[status(thm)],[])).
% 2.96/3.20 tff(47,plain,
% 2.96/3.20 ((~?[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)) | 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)) | ![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)) | 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)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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))))))))))),
% 2.96/3.21 inference(rewrite,[status(thm)],[])).
% 2.96/3.21 tff(48,plain,
% 2.96/3.21 ((~(~?[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)) | 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)) | ![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)) | 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)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))))),
% 2.96/3.22 inference(monotonicity,[status(thm)],[47])).
% 2.96/3.22 tff(49,plain,
% 2.96/3.22 ((~(~?[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)) | 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)) | ![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)) | 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)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))),
% 2.96/3.23 inference(transitivity,[status(thm)],[48, 46])).
% 2.96/3.23 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)) | 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)) | ![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)) | 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)) | p1(Y)) | (~p1(X))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))) | (~(![Y: $i] : ((~r1(X, Y)) | p1(Y)) | (~p1(X))))))))) & ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) & (![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))))))))))))))) | (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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')).
% 2.96/3.23 tff(51,plain,
% 2.96/3.23 (?[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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))),
% 2.96/3.23 inference(modus_ponens,[status(thm)],[50, 49])).
% 2.96/3.23 tff(52,plain,
% 2.96/3.23 (?[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] : (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] : (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] : (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)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (![Y: $i] : ((~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] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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)))))))))),
% 2.96/3.24 inference(modus_ponens,[status(thm)],[51, 45])).
% 2.96/3.24 tff(53,plain,
% 2.96/3.24 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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) & (~(p1(Y!18) | (~r1(X!17, Y!18)))) & r1(X!17, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(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_2(Y)) | (~r1(Y, tptp_fun_X_2(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_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![Y: $i] : ((~r1(X!0, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 2.96/3.24 inference(modus_ponens,[status(thm)],[52, 44])).
% 2.96/3.24 tff(54,plain,
% 2.96/3.24 (![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 2.96/3.24 inference(and_elim,[status(thm)],[53])).
% 2.96/3.24 tff(55,plain,
% 2.96/3.24 (![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 2.96/3.24 inference(modus_ponens,[status(thm)],[54, 11])).
% 2.96/3.24 tff(56,plain,
% 2.96/3.24 (((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | (p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))),
% 2.96/3.24 inference(rewrite,[status(thm)],[])).
% 2.96/3.24 tff(57,plain,
% 2.96/3.24 ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | (p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))),
% 2.96/3.24 inference(quant_inst,[status(thm)],[])).
% 2.96/3.24 tff(58,plain,
% 2.96/3.24 ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))),
% 2.96/3.24 inference(modus_ponens,[status(thm)],[57, 56])).
% 2.96/3.24 tff(59,plain,
% 2.96/3.24 ($false),
% 2.96/3.24 inference(unit_resolution,[status(thm)],[58, 55, 9, 8])).
% 2.96/3.24 tff(60,plain,((~r1(Y!19, tptp_fun_X_2(Y!19))) | p1(tptp_fun_X_2(Y!19))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.24 tff(61,plain,
% 2.96/3.24 ($false),
% 2.96/3.24 inference(unit_resolution,[status(thm)],[60, 7, 5])).
% 2.96/3.24 tff(62,plain,(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.24 tff(63,plain,
% 2.96/3.24 (r1(X!0, Y!10)),
% 2.96/3.24 inference(and_elim,[status(thm)],[53])).
% 2.96/3.24 tff(64,plain,
% 2.96/3.24 (^[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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 2.96/3.24 inference(bind,[status(th)],[])).
% 2.96/3.24 tff(65,plain,
% 2.96/3.24 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(quant_intro,[status(thm)],[64])).
% 2.96/3.25 tff(66,plain,
% 2.96/3.25 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 2.96/3.25 inference(bind,[status(th)],[])).
% 2.96/3.25 tff(67,plain,
% 2.96/3.25 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(quant_intro,[status(thm)],[66])).
% 2.96/3.25 tff(68,plain,
% 2.96/3.25 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(transitivity,[status(thm)],[67, 65])).
% 2.96/3.25 tff(69,plain,
% 2.96/3.25 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(and_elim,[status(thm)],[53])).
% 2.96/3.25 tff(70,plain,
% 2.96/3.25 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(modus_ponens,[status(thm)],[69, 68])).
% 2.96/3.25 tff(71,plain,
% 2.96/3.25 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(rewrite,[status(thm)],[])).
% 2.96/3.25 tff(72,plain,
% 2.96/3.25 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 2.96/3.25 inference(quant_inst,[status(thm)],[])).
% 2.96/3.25 tff(73,plain,
% 2.96/3.25 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 2.96/3.25 inference(modus_ponens,[status(thm)],[72, 71])).
% 2.96/3.25 tff(74,plain,
% 2.96/3.25 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 2.96/3.25 inference(unit_resolution,[status(thm)],[73, 70, 63])).
% 2.96/3.25 tff(75,plain,
% 2.96/3.25 (r1(Y!10, X!11)),
% 2.96/3.25 inference(and_elim,[status(thm)],[53])).
% 2.96/3.25 tff(76,plain,
% 2.96/3.25 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 2.96/3.25 inference(rewrite,[status(thm)],[])).
% 2.96/3.25 tff(77,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 2.96/3.25 inference(quant_inst,[status(thm)],[])).
% 2.96/3.25 tff(78,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 2.96/3.25 inference(modus_ponens,[status(thm)],[77, 76])).
% 2.96/3.25 tff(79,plain,
% 2.96/3.25 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 2.96/3.25 inference(unit_resolution,[status(thm)],[78, 75, 74])).
% 2.96/3.25 tff(80,plain,
% 2.96/3.25 (r1(X!11, Y!12)),
% 2.96/3.25 inference(and_elim,[status(thm)],[53])).
% 2.96/3.25 tff(81,plain,
% 2.96/3.25 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 2.96/3.25 inference(rewrite,[status(thm)],[])).
% 2.96/3.25 tff(82,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 2.96/3.25 inference(quant_inst,[status(thm)],[])).
% 2.96/3.25 tff(83,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 2.96/3.25 inference(modus_ponens,[status(thm)],[82, 81])).
% 2.96/3.25 tff(84,plain,
% 2.96/3.25 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 2.96/3.25 inference(unit_resolution,[status(thm)],[83, 80, 79])).
% 2.96/3.25 tff(85,plain,
% 2.96/3.25 (r1(Y!12, X!13)),
% 2.96/3.25 inference(and_elim,[status(thm)],[53])).
% 2.96/3.25 tff(86,plain,
% 2.96/3.25 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 2.96/3.25 inference(rewrite,[status(thm)],[])).
% 2.96/3.25 tff(87,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 2.96/3.25 inference(quant_inst,[status(thm)],[])).
% 2.96/3.25 tff(88,plain,
% 2.96/3.25 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 2.96/3.25 inference(modus_ponens,[status(thm)],[87, 86])).
% 2.96/3.25 tff(89,plain,
% 2.96/3.25 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[88, 85, 84])).
% 2.96/3.26 tff(90,plain,
% 2.96/3.26 (r1(X!13, Y!14)),
% 2.96/3.26 inference(and_elim,[status(thm)],[53])).
% 2.96/3.26 tff(91,plain,
% 2.96/3.26 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(92,plain,
% 2.96/3.26 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(93,plain,
% 2.96/3.26 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[92, 91])).
% 2.96/3.26 tff(94,plain,
% 2.96/3.26 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[93, 90, 89])).
% 2.96/3.26 tff(95,plain,
% 2.96/3.26 (r1(Y!14, X!15)),
% 2.96/3.26 inference(and_elim,[status(thm)],[53])).
% 2.96/3.26 tff(96,plain,
% 2.96/3.26 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(97,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(98,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[97, 96])).
% 2.96/3.26 tff(99,plain,
% 2.96/3.26 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[98, 95, 94])).
% 2.96/3.26 tff(100,plain,
% 2.96/3.26 (r1(X!15, Y!16)),
% 2.96/3.26 inference(and_elim,[status(thm)],[53])).
% 2.96/3.26 tff(101,plain,
% 2.96/3.26 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(102,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(103,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[102, 101])).
% 2.96/3.26 tff(104,plain,
% 2.96/3.26 (![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[103, 100, 99])).
% 2.96/3.26 tff(105,plain,
% 2.96/3.26 (r1(Y!16, X!17)),
% 2.96/3.26 inference(and_elim,[status(thm)],[53])).
% 2.96/3.26 tff(106,plain,
% 2.96/3.26 (((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(107,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ((~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(108,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!16, X)) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | (~r1(Y!16, X!17)) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[107, 106])).
% 2.96/3.26 tff(109,plain,
% 2.96/3.26 (![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[108, 105, 104])).
% 2.96/3.26 tff(110,plain,
% 2.96/3.26 (r1(X!17, Y!19)),
% 2.96/3.26 inference(and_elim,[status(thm)],[53])).
% 2.96/3.26 tff(111,plain,
% 2.96/3.26 (((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(112,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(113,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[112, 111])).
% 2.96/3.26 tff(114,plain,
% 2.96/3.26 ((~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[113, 110, 109])).
% 2.96/3.26 tff(115,plain,
% 2.96/3.26 (![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[114, 62])).
% 2.96/3.26 tff(116,assumption,(![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))), introduced(assumption)).
% 2.96/3.26 tff(117,assumption,(~((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))), introduced(assumption)).
% 2.96/3.26 tff(118,plain,
% 2.96/3.26 (((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))) | r1(Y!19, tptp_fun_X_3(Y!19))),
% 2.96/3.26 inference(tautology,[status(thm)],[])).
% 2.96/3.26 tff(119,plain,
% 2.96/3.26 (r1(Y!19, tptp_fun_X_3(Y!19))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[118, 117])).
% 2.96/3.26 tff(120,plain,
% 2.96/3.26 (((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!19, tptp_fun_X_3(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y))))) <=> ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(121,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!19, tptp_fun_X_3(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(122,plain,
% 2.96/3.26 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[121, 120])).
% 2.96/3.26 tff(123,plain,
% 2.96/3.26 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[122, 119, 116])).
% 2.96/3.26 tff(124,plain,
% 2.96/3.26 (((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))) | r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))),
% 2.96/3.26 inference(tautology,[status(thm)],[])).
% 2.96/3.26 tff(125,plain,
% 2.96/3.26 (r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[124, 117])).
% 2.96/3.26 tff(126,plain,
% 2.96/3.26 (((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))) | (~p1(tptp_fun_Y_4(Y!19)))),
% 2.96/3.26 inference(tautology,[status(thm)],[])).
% 2.96/3.26 tff(127,plain,
% 2.96/3.26 (~p1(tptp_fun_Y_4(Y!19))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[126, 117])).
% 2.96/3.26 tff(128,plain,
% 2.96/3.26 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))) | (p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(129,plain,
% 2.96/3.26 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))) | (p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(130,plain,
% 2.96/3.26 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(Y!19), Y)))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[129, 128])).
% 2.96/3.26 tff(131,plain,
% 2.96/3.26 ($false),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[130, 127, 125, 123])).
% 2.96/3.26 tff(132,plain,(((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))) | (~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.26 tff(133,plain,
% 2.96/3.26 ((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[132, 115])).
% 2.96/3.26 tff(134,plain,
% 2.96/3.26 (((~![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~r1(X!17, Y!19)) | (~((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (~r1(X!17, Y!19)) | (~((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))))),
% 2.96/3.26 inference(rewrite,[status(thm)],[])).
% 2.96/3.26 tff(135,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | ((~r1(X!17, Y!19)) | (~((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19))))))),
% 2.96/3.26 inference(quant_inst,[status(thm)],[])).
% 2.96/3.26 tff(136,plain,
% 2.96/3.26 ((~![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (~r1(X!17, Y!19)) | (~((~p1(tptp_fun_X_3(Y!19))) | (~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_Y_4(Y!19)) | (~r1(tptp_fun_X_3(Y!19), tptp_fun_Y_4(Y!19)))))),
% 2.96/3.26 inference(modus_ponens,[status(thm)],[135, 134])).
% 2.96/3.26 tff(137,plain,
% 2.96/3.26 ($false),
% 2.96/3.26 inference(unit_resolution,[status(thm)],[136, 110, 133, 2])).
% 2.96/3.26 tff(138,plain,(~![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.27 tff(139,assumption,(~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 2.96/3.27 tff(140,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(141,plain,
% 2.96/3.27 (~p1(tptp_fun_Y_7(X!17))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[140, 139])).
% 2.96/3.27 tff(142,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(X!17, tptp_fun_Y_7(X!17))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(143,plain,
% 2.96/3.27 (r1(X!17, tptp_fun_Y_7(X!17))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[142, 139])).
% 2.96/3.27 tff(144,assumption,(~p1(tptp_fun_Y_7(X!17))), introduced(assumption)).
% 2.96/3.27 tff(145,plain,
% 2.96/3.27 (^[Y: $i] : refl((p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) <=> (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 2.96/3.27 inference(bind,[status(th)],[])).
% 2.96/3.27 tff(146,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 2.96/3.27 inference(quant_intro,[status(thm)],[145])).
% 2.96/3.27 tff(147,plain,
% 2.96/3.27 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 2.96/3.27 inference(bind,[status(th)],[])).
% 2.96/3.27 tff(148,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 2.96/3.27 inference(quant_intro,[status(thm)],[147])).
% 2.96/3.27 tff(149,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))))),
% 2.96/3.27 inference(and_elim,[status(thm)],[53])).
% 2.96/3.27 tff(150,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[149, 148])).
% 2.96/3.27 tff(151,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[150, 146])).
% 2.96/3.27 tff(152,plain,
% 2.96/3.27 (((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))))))),
% 2.96/3.27 inference(rewrite,[status(thm)],[])).
% 2.96/3.27 tff(153,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17))))))) <=> (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))))))),
% 2.96/3.27 inference(rewrite,[status(thm)],[])).
% 2.96/3.27 tff(154,plain,
% 2.96/3.27 (((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))))))),
% 2.96/3.27 inference(monotonicity,[status(thm)],[153])).
% 2.96/3.27 tff(155,plain,
% 2.96/3.27 (((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))))))),
% 2.96/3.27 inference(transitivity,[status(thm)],[154, 152])).
% 2.96/3.27 tff(156,plain,
% 2.96/3.27 ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))))),
% 2.96/3.27 inference(quant_inst,[status(thm)],[])).
% 2.96/3.27 tff(157,plain,
% 2.96/3.27 ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[156, 155])).
% 2.96/3.27 tff(158,plain,
% 2.96/3.27 (~(p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[157, 151, 144, 143])).
% 2.96/3.27 tff(159,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))) | r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(160,plain,
% 2.96/3.27 (r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[159, 158])).
% 2.96/3.27 tff(161,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))) | p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(162,plain,
% 2.96/3.27 (p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[161, 158])).
% 2.96/3.27 tff(163,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(164,plain,
% 2.96/3.27 (![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[163, 139])).
% 2.96/3.27 tff(165,plain,
% 2.96/3.27 (((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y))))),
% 2.96/3.27 inference(rewrite,[status(thm)],[])).
% 2.96/3.27 tff(166,plain,
% 2.96/3.27 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y))))),
% 2.96/3.27 inference(quant_inst,[status(thm)],[])).
% 2.96/3.27 tff(167,plain,
% 2.96/3.27 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[166, 165])).
% 2.96/3.27 tff(168,plain,
% 2.96/3.27 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[167, 164, 162, 160])).
% 2.96/3.27 tff(169,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))) | r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(170,plain,
% 2.96/3.27 (r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[169, 158])).
% 2.96/3.27 tff(171,plain,
% 2.96/3.27 ((p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))) | (~p1(tptp_fun_X_3(tptp_fun_Y_7(X!17)))) | (~r1(tptp_fun_Y_7(X!17), tptp_fun_X_3(tptp_fun_Y_7(X!17))))) | (~p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))))),
% 2.96/3.27 inference(tautology,[status(thm)],[])).
% 2.96/3.27 tff(172,plain,
% 2.96/3.27 (~p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17)))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[171, 158])).
% 2.96/3.27 tff(173,plain,
% 2.96/3.27 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))) | (p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))),
% 2.96/3.27 inference(rewrite,[status(thm)],[])).
% 2.96/3.27 tff(174,plain,
% 2.96/3.27 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))) | (p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17)))))),
% 2.96/3.27 inference(quant_inst,[status(thm)],[])).
% 2.96/3.27 tff(175,plain,
% 2.96/3.27 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), Y)))) | p1(tptp_fun_Y_4(tptp_fun_Y_7(X!17))) | (~r1(tptp_fun_X_3(tptp_fun_Y_7(X!17)), tptp_fun_Y_4(tptp_fun_Y_7(X!17))))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[174, 173])).
% 2.96/3.27 tff(176,plain,
% 2.96/3.27 ($false),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[175, 172, 170, 168])).
% 2.96/3.27 tff(177,plain,((p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_7(X!17))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.27 tff(178,plain,
% 2.96/3.27 ($false),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[177, 141, 139])).
% 2.96/3.27 tff(179,plain,(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.27 tff(180,assumption,(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))), introduced(assumption)).
% 2.96/3.27 tff(181,assumption,(![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))), introduced(assumption)).
% 2.96/3.27 tff(182,plain,
% 2.96/3.27 (((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | ((~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))))),
% 2.96/3.27 inference(rewrite,[status(thm)],[])).
% 2.96/3.27 tff(183,plain,
% 2.96/3.27 ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | ((~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19))))))),
% 2.96/3.27 inference(quant_inst,[status(thm)],[])).
% 2.96/3.27 tff(184,plain,
% 2.96/3.27 ((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~r1(X!17, Y!19)) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))))),
% 2.96/3.27 inference(modus_ponens,[status(thm)],[183, 182])).
% 2.96/3.27 tff(185,plain,
% 2.96/3.27 ($false),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[184, 110, 181, 180])).
% 2.96/3.27 tff(186,plain,((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))) | (~(p1(tptp_fun_X_2(Y!19)) | (~r1(Y!19, tptp_fun_X_2(Y!19)))))), inference(lemma,lemma(discharge,[]))).
% 2.96/3.27 tff(187,plain,
% 2.96/3.27 (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))))),
% 2.96/3.27 inference(unit_resolution,[status(thm)],[186, 62])).
% 2.96/3.27 tff(188,plain,
% 2.96/3.27 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 2.96/3.27 inference(bind,[status(th)],[])).
% 2.96/3.27 tff(189,plain,
% 2.96/3.27 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 2.96/3.28 inference(quant_intro,[status(thm)],[188])).
% 2.96/3.28 tff(190,plain,
% 2.96/3.28 (^[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)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(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)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))))),
% 2.96/3.28 inference(bind,[status(th)],[])).
% 2.96/3.28 tff(191,plain,
% 2.96/3.28 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.28 inference(quant_intro,[status(thm)],[190])).
% 2.96/3.28 tff(192,plain,
% 2.96/3.28 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(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)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))))),
% 2.96/3.28 inference(bind,[status(th)],[])).
% 2.96/3.28 tff(193,plain,
% 2.96/3.28 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.28 inference(quant_intro,[status(thm)],[192])).
% 2.96/3.28 tff(194,plain,
% 2.96/3.28 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.28 inference(transitivity,[status(thm)],[193, 191])).
% 2.96/3.28 tff(195,plain,
% 2.96/3.28 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), 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)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))))))))))))))),
% 2.96/3.28 inference(bind,[status(th)],[])).
% 2.96/3.28 tff(196,plain,
% 2.96/3.28 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.29 inference(quant_intro,[status(thm)],[195])).
% 2.96/3.29 tff(197,plain,
% 2.96/3.29 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_3(Y)) & p1(tptp_fun_X_3(Y)) & (~(p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y))))))) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(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)) | (r1(X, tptp_fun_Y_8(X)) & p1(tptp_fun_Y_8(X)) & (~(p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~p1(tptp_fun_Y_7(X))) & r1(X, tptp_fun_Y_7(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X))))))))))))))),
% 2.96/3.29 inference(and_elim,[status(thm)],[53])).
% 2.96/3.29 tff(198,plain,
% 2.96/3.29 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.29 inference(modus_ponens,[status(thm)],[197, 196])).
% 2.96/3.29 tff(199,plain,
% 2.96/3.29 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_7(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))))))))))))))),
% 2.96/3.29 inference(modus_ponens,[status(thm)],[198, 194])).
% 2.96/3.29 tff(200,plain,
% 2.96/3.29 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 2.96/3.29 inference(modus_ponens,[status(thm)],[199, 189])).
% 2.96/3.29 tff(201,plain,
% 2.96/3.29 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 2.96/3.29 inference(rewrite,[status(thm)],[])).
% 2.96/3.29 tff(202,plain,
% 2.96/3.29 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 2.96/3.29 inference(quant_inst,[status(thm)],[])).
% 2.96/3.29 tff(203,plain,
% 2.96/3.29 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $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_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 2.96/3.29 inference(modus_ponens,[status(thm)],[202, 201])).
% 2.96/3.29 tff(204,plain,
% 2.96/3.29 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 2.96/3.29 inference(unit_resolution,[status(thm)],[203, 200, 63])).
% 2.96/3.29 tff(205,plain,
% 2.96/3.29 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 3.06/3.30 inference(rewrite,[status(thm)],[])).
% 3.06/3.30 tff(206,plain,
% 3.06/3.30 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 3.06/3.30 inference(quant_inst,[status(thm)],[])).
% 3.06/3.30 tff(207,plain,
% 3.06/3.30 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 3.06/3.30 inference(modus_ponens,[status(thm)],[206, 205])).
% 3.06/3.30 tff(208,plain,
% 3.06/3.30 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 3.06/3.30 inference(unit_resolution,[status(thm)],[207, 75, 204])).
% 3.06/3.30 tff(209,plain,
% 3.06/3.30 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 3.06/3.30 inference(rewrite,[status(thm)],[])).
% 3.06/3.30 tff(210,plain,
% 3.06/3.30 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 3.06/3.31 inference(quant_inst,[status(thm)],[])).
% 3.06/3.31 tff(211,plain,
% 3.06/3.31 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 3.06/3.31 inference(modus_ponens,[status(thm)],[210, 209])).
% 3.06/3.31 tff(212,plain,
% 3.06/3.31 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 3.06/3.31 inference(unit_resolution,[status(thm)],[211, 80, 208])).
% 3.06/3.31 tff(213,plain,
% 3.06/3.31 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 3.06/3.31 inference(rewrite,[status(thm)],[])).
% 3.06/3.31 tff(214,plain,
% 3.06/3.31 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 3.06/3.31 inference(quant_inst,[status(thm)],[])).
% 3.06/3.31 tff(215,plain,
% 3.06/3.31 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 3.06/3.31 inference(modus_ponens,[status(thm)],[214, 213])).
% 3.06/3.31 tff(216,plain,
% 3.06/3.31 (![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 3.06/3.31 inference(unit_resolution,[status(thm)],[215, 85, 212])).
% 3.06/3.31 tff(217,plain,
% 3.06/3.31 (((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) <=> ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 3.06/3.32 inference(rewrite,[status(thm)],[])).
% 3.06/3.32 tff(218,plain,
% 3.06/3.32 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | ((~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 3.06/3.32 inference(quant_inst,[status(thm)],[])).
% 3.06/3.32 tff(219,plain,
% 3.06/3.32 ((~![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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) | (~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)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 3.06/3.32 inference(modus_ponens,[status(thm)],[218, 217])).
% 3.06/3.32 tff(220,plain,
% 3.06/3.32 (![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 3.06/3.32 inference(unit_resolution,[status(thm)],[219, 90, 216])).
% 3.06/3.32 tff(221,plain,
% 3.06/3.32 (((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 3.06/3.32 inference(rewrite,[status(thm)],[])).
% 3.06/3.32 tff(222,plain,
% 3.06/3.32 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) | ((~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 3.06/3.32 inference(quant_inst,[status(thm)],[])).
% 3.06/3.32 tff(223,plain,
% 3.06/3.32 ((~![X: $i] : ((~r1(Y!14, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))) | (~r1(Y!14, X!15)) | ![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 3.06/3.32 inference(modus_ponens,[status(thm)],[222, 221])).
% 3.06/3.32 tff(224,plain,
% 3.06/3.32 (![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 3.06/3.33 inference(unit_resolution,[status(thm)],[223, 95, 220])).
% 3.06/3.33 tff(225,plain,
% 3.06/3.33 (((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 3.06/3.33 inference(rewrite,[status(thm)],[])).
% 3.06/3.33 tff(226,plain,
% 3.06/3.33 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | ((~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 3.06/3.33 inference(quant_inst,[status(thm)],[])).
% 3.06/3.33 tff(227,plain,
% 3.06/3.33 ((~![Y: $i] : ((~r1(X!15, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) | (~r1(X!15, Y!16)) | ![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 3.06/3.33 inference(modus_ponens,[status(thm)],[226, 225])).
% 3.06/3.33 tff(228,plain,
% 3.06/3.33 (![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 3.06/3.33 inference(unit_resolution,[status(thm)],[227, 100, 224])).
% 3.06/3.33 tff(229,plain,
% 3.06/3.33 (((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))))))),
% 3.06/3.33 inference(rewrite,[status(thm)],[])).
% 3.06/3.33 tff(230,plain,
% 3.06/3.33 (((~r1(Y!16, X!17)) | (~((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X!17)) | ![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!17))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X!17) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) <=> ((~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))))))),
% 3.06/3.34 inference(rewrite,[status(thm)],[])).
% 3.06/3.34 tff(231,plain,
% 3.06/3.34 (((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(Y!16, X!17)) | (~((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X!17)) | ![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!17))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X!17) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)))))))),
% 3.06/3.34 inference(monotonicity,[status(thm)],[230])).
% 3.06/3.34 tff(232,plain,
% 3.06/3.34 (((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(Y!16, X!17)) | (~((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X!17)) | ![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!17))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X!17) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) <=> ((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))))))),
% 3.06/3.34 inference(transitivity,[status(thm)],[231, 229])).
% 3.06/3.34 tff(233,plain,
% 3.06/3.34 ((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | ((~r1(Y!16, X!17)) | (~((~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X!17)) | ![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X!17))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X!17) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 3.06/3.34 inference(quant_inst,[status(thm)],[])).
% 3.06/3.34 tff(234,plain,
% 3.06/3.34 ((~![X: $i] : ((~r1(Y!16, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_5(X), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | (~(p1(tptp_fun_Y_7(X)) | (~r1(X, tptp_fun_Y_7(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))) | (~r1(Y!16, X!17)) | (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)))))),
% 3.06/3.34 inference(modus_ponens,[status(thm)],[233, 232])).
% 3.06/3.34 tff(235,plain,
% 3.06/3.34 (~((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[234, 105, 228])).
% 3.06/3.35 tff(236,plain,
% 3.06/3.35 (((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)))) | ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(237,plain,
% 3.06/3.35 ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[236, 235])).
% 3.06/3.35 tff(238,plain,
% 3.06/3.35 ((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(239,plain,
% 3.06/3.35 ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[238, 237])).
% 3.06/3.35 tff(240,plain,
% 3.06/3.35 ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!17)),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[239, 187])).
% 3.06/3.35 tff(241,plain,
% 3.06/3.35 (p1(X!17)),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[240, 179])).
% 3.06/3.35 tff(242,assumption,(![Y: $i] : (p1(Y) | (~r1(X!17, Y)))), introduced(assumption)).
% 3.06/3.35 tff(243,plain,
% 3.06/3.35 (~(p1(Y!18) | (~r1(X!17, Y!18)))),
% 3.06/3.35 inference(and_elim,[status(thm)],[53])).
% 3.06/3.35 tff(244,plain,
% 3.06/3.35 (r1(X!17, Y!18)),
% 3.06/3.35 inference(or_elim,[status(thm)],[243])).
% 3.06/3.35 tff(245,plain,
% 3.06/3.35 (~p1(Y!18)),
% 3.06/3.35 inference(or_elim,[status(thm)],[243])).
% 3.06/3.35 tff(246,plain,
% 3.06/3.35 (((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)))) | (p1(Y!18) | (~r1(X!17, Y!18)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)))) | p1(Y!18) | (~r1(X!17, Y!18)))),
% 3.06/3.35 inference(rewrite,[status(thm)],[])).
% 3.06/3.35 tff(247,plain,
% 3.06/3.35 ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)))) | (p1(Y!18) | (~r1(X!17, Y!18)))),
% 3.06/3.35 inference(quant_inst,[status(thm)],[])).
% 3.06/3.35 tff(248,plain,
% 3.06/3.35 ((~![Y: $i] : (p1(Y) | (~r1(X!17, Y)))) | p1(Y!18) | (~r1(X!17, Y!18))),
% 3.06/3.35 inference(modus_ponens,[status(thm)],[247, 246])).
% 3.06/3.35 tff(249,plain,
% 3.06/3.35 ($false),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[248, 245, 244, 242])).
% 3.06/3.35 tff(250,plain,(~![Y: $i] : (p1(Y) | (~r1(X!17, Y)))), inference(lemma,lemma(discharge,[]))).
% 3.06/3.35 tff(251,plain,
% 3.06/3.35 (((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)))) | (![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(252,plain,
% 3.06/3.35 (![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[251, 235])).
% 3.06/3.35 tff(253,plain,
% 3.06/3.35 ((~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | ![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(254,plain,
% 3.06/3.35 (![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[253, 252])).
% 3.06/3.35 tff(255,plain,
% 3.06/3.35 (![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[254, 250])).
% 3.06/3.35 tff(256,plain,
% 3.06/3.35 (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[255, 241, 138])).
% 3.06/3.35 tff(257,plain,
% 3.06/3.35 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))) | r1(X!17, tptp_fun_Y_5(X!17))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(258,plain,
% 3.06/3.35 (r1(X!17, tptp_fun_Y_5(X!17))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[257, 256])).
% 3.06/3.35 tff(259,plain,
% 3.06/3.35 (((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(![Y: $i] : (p1(Y) | (~r1(X!17, Y))) | ![Y: $i] : ((~r1(X!17, Y)) | (~((~p1(tptp_fun_X_3(Y))) | (~r1(Y, tptp_fun_X_3(Y))) | p1(tptp_fun_Y_4(Y)) | (~r1(tptp_fun_X_3(Y), tptp_fun_Y_4(Y)))))) | (~p1(X!17)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17))))))) | (~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y)))))) | p1(X!17)))) | ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(260,plain,
% 3.06/3.35 ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[259, 235])).
% 3.06/3.35 tff(261,plain,
% 3.06/3.35 ((~((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))))) | (~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(262,plain,
% 3.06/3.35 ((~(p1(tptp_fun_Y_7(X!17)) | (~r1(X!17, tptp_fun_Y_7(X!17))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_7(X!17), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[261, 260])).
% 3.06/3.35 tff(263,plain,
% 3.06/3.35 (![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[262, 179])).
% 3.06/3.35 tff(264,plain,
% 3.06/3.35 (((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~r1(X!17, tptp_fun_Y_5(X!17))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) <=> ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(rewrite,[status(thm)],[])).
% 3.06/3.35 tff(265,plain,
% 3.06/3.35 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | ((~r1(X!17, tptp_fun_Y_5(X!17))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))),
% 3.06/3.35 inference(quant_inst,[status(thm)],[])).
% 3.06/3.35 tff(266,plain,
% 3.06/3.35 ((~![Y: $i] : ((~r1(X!17, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X)))))))) | (~r1(X!17, tptp_fun_Y_5(X!17))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))),
% 3.06/3.35 inference(modus_ponens,[status(thm)],[265, 264])).
% 3.06/3.35 tff(267,plain,
% 3.06/3.35 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[266, 263, 258])).
% 3.06/3.35 tff(268,plain,
% 3.06/3.35 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))) | (~p1(tptp_fun_X_6(X!17)))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(269,plain,
% 3.06/3.35 (~p1(tptp_fun_X_6(X!17))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[268, 256])).
% 3.06/3.35 tff(270,plain,
% 3.06/3.35 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))) | r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))),
% 3.06/3.35 inference(tautology,[status(thm)],[])).
% 3.06/3.35 tff(271,plain,
% 3.06/3.35 (r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))),
% 3.06/3.35 inference(unit_resolution,[status(thm)],[270, 256])).
% 3.06/3.35 tff(272,plain,
% 3.06/3.35 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))),
% 3.06/3.35 inference(rewrite,[status(thm)],[])).
% 3.06/3.35 tff(273,plain,
% 3.06/3.35 ((p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))))) <=> (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))),
% 3.06/3.35 inference(rewrite,[status(thm)],[])).
% 3.06/3.35 tff(274,plain,
% 3.06/3.35 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))))))),
% 3.06/3.35 inference(monotonicity,[status(thm)],[273])).
% 3.06/3.36 tff(275,plain,
% 3.06/3.36 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))),
% 3.06/3.36 inference(transitivity,[status(thm)],[274, 272])).
% 3.06/3.36 tff(276,plain,
% 3.06/3.36 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | (p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))))),
% 3.06/3.36 inference(quant_inst,[status(thm)],[])).
% 3.06/3.36 tff(277,plain,
% 3.06/3.36 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(tptp_fun_Y_8(X))) | (~r1(X, tptp_fun_Y_8(X))) | p1(tptp_fun_X_9(X)) | (~r1(tptp_fun_Y_8(X), tptp_fun_X_9(X))))))) | p1(tptp_fun_X_6(X!17)) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))))),
% 3.06/3.36 inference(modus_ponens,[status(thm)],[276, 275])).
% 3.06/3.36 tff(278,plain,
% 3.06/3.36 (~((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[277, 271, 269, 267])).
% 3.06/3.36 tff(279,plain,
% 3.06/3.36 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))) | r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(280,plain,
% 3.06/3.36 (r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[279, 278])).
% 3.06/3.36 tff(281,plain,
% 3.06/3.36 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))) | (~p1(tptp_fun_X_9(tptp_fun_X_6(X!17))))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(282,plain,
% 3.06/3.36 (~p1(tptp_fun_X_9(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[281, 278])).
% 3.06/3.36 tff(283,plain,
% 3.06/3.36 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))) | (p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))),
% 3.06/3.36 inference(rewrite,[status(thm)],[])).
% 3.06/3.36 tff(284,plain,
% 3.06/3.36 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))) | (p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17)))))),
% 3.06/3.36 inference(quant_inst,[status(thm)],[])).
% 3.06/3.36 tff(285,plain,
% 3.06/3.36 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))),
% 3.06/3.36 inference(modus_ponens,[status(thm)],[284, 283])).
% 3.06/3.36 tff(286,plain,
% 3.06/3.36 ($false),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[285, 282, 280, 1])).
% 3.06/3.36 tff(287,plain,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))), inference(lemma,lemma(discharge,[]))).
% 3.06/3.36 tff(288,plain,
% 3.06/3.36 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))) | r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(289,plain,
% 3.06/3.36 (r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[288, 278])).
% 3.06/3.36 tff(290,plain,
% 3.06/3.36 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | p1(tptp_fun_X_9(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), tptp_fun_X_9(tptp_fun_X_6(X!17))))) | p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(291,plain,
% 3.06/3.36 (p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[290, 278])).
% 3.06/3.36 tff(292,plain,
% 3.06/3.36 (((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17))))) | p1(tptp_fun_X_6(X!17))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(293,plain,
% 3.06/3.36 ((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17))))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[292, 269])).
% 3.06/3.36 tff(294,plain,
% 3.06/3.36 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_Y_5(X!17))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | p1(tptp_fun_X_6(X!17)) | (~r1(X!17, tptp_fun_Y_5(X!17)))) | ![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 3.06/3.36 inference(tautology,[status(thm)],[])).
% 3.06/3.36 tff(295,plain,
% 3.06/3.36 (![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[294, 256])).
% 3.06/3.36 tff(296,plain,
% 3.06/3.36 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y))))),
% 3.06/3.36 inference(rewrite,[status(thm)],[])).
% 3.06/3.36 tff(297,plain,
% 3.06/3.36 (((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))))) | ![Y: $i] : ((~r1(tptp_fun_X_6(X!17), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) <=> ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y))))),
% 3.06/3.36 inference(rewrite,[status(thm)],[])).
% 3.06/3.36 tff(298,plain,
% 3.06/3.36 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))))) | ![Y: $i] : ((~r1(tptp_fun_X_6(X!17), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))))),
% 3.06/3.36 inference(monotonicity,[status(thm)],[297])).
% 3.06/3.36 tff(299,plain,
% 3.06/3.36 (((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))))) | ![Y: $i] : ((~r1(tptp_fun_X_6(X!17), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y))))),
% 3.06/3.36 inference(transitivity,[status(thm)],[298, 296])).
% 3.06/3.36 tff(300,plain,
% 3.06/3.36 ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))))) | ![Y: $i] : ((~r1(tptp_fun_X_6(X!17), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 3.06/3.36 inference(quant_inst,[status(thm)],[])).
% 3.06/3.36 tff(301,plain,
% 3.06/3.36 ((~![X: $i] : ((~r1(tptp_fun_Y_5(X!17), X)) | (~((~p1(X)) | (~r1(X, tptp_fun_Y_1(X))) | p1(tptp_fun_Y_1(X)))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_5(X!17), tptp_fun_X_6(X!17))) | (~((~p1(tptp_fun_X_6(X!17))) | p1(tptp_fun_Y_1(tptp_fun_X_6(X!17))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_1(tptp_fun_X_6(X!17)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))),
% 3.06/3.36 inference(modus_ponens,[status(thm)],[300, 299])).
% 3.06/3.36 tff(302,plain,
% 3.06/3.36 (![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))),
% 3.06/3.36 inference(unit_resolution,[status(thm)],[301, 295, 271, 293])).
% 3.06/3.36 tff(303,plain,
% 3.06/3.36 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | (~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))))),
% 3.06/3.36 inference(rewrite,[status(thm)],[])).
% 3.06/3.36 tff(304,plain,
% 3.06/3.36 (((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17))))) <=> ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))))),
% 3.06/3.37 inference(rewrite,[status(thm)],[])).
% 3.06/3.37 tff(305,plain,
% 3.06/3.37 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))))),
% 3.06/3.37 inference(monotonicity,[status(thm)],[304])).
% 3.06/3.37 tff(306,plain,
% 3.06/3.37 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | (~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))))),
% 3.06/3.37 inference(transitivity,[status(thm)],[305, 303])).
% 3.06/3.37 tff(307,plain,
% 3.06/3.37 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | ((~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))))),
% 3.06/3.37 inference(quant_inst,[status(thm)],[])).
% 3.06/3.37 tff(308,plain,
% 3.06/3.37 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_6(X!17), Y)))) | (~p1(tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | (~r1(tptp_fun_X_6(X!17), tptp_fun_Y_8(tptp_fun_X_6(X!17)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(tptp_fun_X_6(X!17)), X)))),
% 3.06/3.37 inference(modus_ponens,[status(thm)],[307, 306])).
% 3.06/3.37 tff(309,plain,
% 3.06/3.37 ($false),
% 3.06/3.37 inference(unit_resolution,[status(thm)],[308, 302, 291, 289, 287])).
% 3.06/3.37 % SZS output end Proof
% 3.06/3.38 % E exiting
%------------------------------------------------------------------------------