%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL640+1.015 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 03:00:19 PM UTC 2026
% Result : Theorem 19.46s 19.73s
% Output : Proof 19.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL640+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 : n006.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
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 18:05:03 UTC 2026
% 0.08/0.35 % CPUTime :
% 19.46/19.73 % SZS status Theorem
% 19.46/19.73 % SZS output start Proof
% 19.46/19.73 tff(r1_type, type, (
% 19.46/19.73 r1: ( $i * $i ) > $o)).
% 19.46/19.73 tff(tptp_fun_Y_9_type, type, (
% 19.46/19.73 tptp_fun_Y_9: $i > $i)).
% 19.46/19.73 tff(tptp_fun_X_8_type, type, (
% 19.46/19.73 tptp_fun_X_8: $i > $i)).
% 19.46/19.73 tff(tptp_fun_X_18_type, type, (
% 19.46/19.73 tptp_fun_X_18: $i)).
% 19.46/19.73 tff(p1_type, type, (
% 19.46/19.73 p1: $i > $o)).
% 19.46/19.73 tff(tptp_fun_X_10_type, type, (
% 19.46/19.73 tptp_fun_X_10: $i > $i)).
% 19.46/19.73 tff(tptp_fun_Y_7_type, type, (
% 19.46/19.73 tptp_fun_Y_7: $i > $i)).
% 19.46/19.73 tff(tptp_fun_Y_2_type, type, (
% 19.46/19.73 tptp_fun_Y_2: $i > $i)).
% 19.46/19.73 tff(tptp_fun_Y_6_type, type, (
% 19.46/19.73 tptp_fun_Y_6: $i > $i)).
% 19.46/19.73 tff(tptp_fun_X_5_type, type, (
% 19.46/19.73 tptp_fun_X_5: $i > $i)).
% 19.46/19.73 tff(tptp_fun_Y_19_type, type, (
% 19.46/19.73 tptp_fun_Y_19: $i)).
% 19.46/19.73 tff(tptp_fun_X_3_type, type, (
% 19.46/19.73 tptp_fun_X_3: $i > $i)).
% 19.46/19.73 tff(tptp_fun_X_1_type, type, (
% 19.46/19.73 tptp_fun_X_1: $i > $i)).
% 19.46/19.73 tff(tptp_fun_X_0_type, type, (
% 19.46/19.73 tptp_fun_X_0: $i)).
% 19.46/19.73 tff(tptp_fun_Y_4_type, type, (
% 19.46/19.73 tptp_fun_Y_4: $i > $i)).
% 19.46/19.73 tff(tptp_fun_Y_20_type, type, (
% 19.46/19.73 tptp_fun_Y_20: $i)).
% 19.46/19.73 tff(tptp_fun_Y_17_type, type, (
% 19.46/19.73 tptp_fun_Y_17: $i)).
% 19.46/19.73 tff(tptp_fun_X_16_type, type, (
% 19.46/19.73 tptp_fun_X_16: $i)).
% 19.46/19.73 tff(tptp_fun_Y_15_type, type, (
% 19.46/19.73 tptp_fun_Y_15: $i)).
% 19.46/19.73 tff(tptp_fun_X_14_type, type, (
% 19.46/19.73 tptp_fun_X_14: $i)).
% 19.46/19.73 tff(tptp_fun_Y_13_type, type, (
% 19.46/19.73 tptp_fun_Y_13: $i)).
% 19.46/19.73 tff(tptp_fun_X_12_type, type, (
% 19.46/19.73 tptp_fun_X_12: $i)).
% 19.46/19.73 tff(tptp_fun_Y_11_type, type, (
% 19.46/19.73 tptp_fun_Y_11: $i)).
% 19.46/19.73 tff(1,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))), introduced(assumption)).
% 19.46/19.73 tff(2,assumption,(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), introduced(assumption)).
% 19.46/19.73 tff(3,assumption,(~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))), introduced(assumption)).
% 19.46/19.73 tff(4,plain,
% 19.46/19.73 ((p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))) | (~p1(tptp_fun_X_3(Y!19)))),
% 19.46/19.73 inference(tautology,[status(thm)],[])).
% 19.46/19.73 tff(5,plain,
% 19.46/19.73 (~p1(tptp_fun_X_3(Y!19))),
% 19.46/19.73 inference(unit_resolution,[status(thm)],[4, 3])).
% 19.46/19.73 tff(6,plain,
% 19.46/19.73 ((p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))) | r1(Y!19, tptp_fun_X_3(Y!19))),
% 19.46/19.73 inference(tautology,[status(thm)],[])).
% 19.46/19.73 tff(7,plain,
% 19.46/19.73 (r1(Y!19, tptp_fun_X_3(Y!19))),
% 19.46/19.73 inference(unit_resolution,[status(thm)],[6, 3])).
% 19.46/19.73 tff(8,assumption,(r1(Y!19, tptp_fun_X_3(Y!19))), introduced(assumption)).
% 19.46/19.73 tff(9,assumption,(~p1(tptp_fun_X_3(Y!19))), introduced(assumption)).
% 19.46/19.73 tff(10,plain,
% 19.46/19.73 (^[X: $i] : refl((p1(X) | (~r1(Y!19, X))) <=> (p1(X) | (~r1(Y!19, X))))),
% 19.46/19.73 inference(bind,[status(th)],[])).
% 19.46/19.73 tff(11,plain,
% 19.46/19.73 (![X: $i] : (p1(X) | (~r1(Y!19, X))) <=> ![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 19.46/19.73 inference(quant_intro,[status(thm)],[10])).
% 19.46/19.73 tff(12,plain,
% 19.46/19.73 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.46/19.74 inference(rewrite,[status(thm)],[])).
% 19.46/19.74 tff(13,plain,
% 19.46/19.74 (((r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.46/19.75 inference(rewrite,[status(thm)],[])).
% 19.46/19.75 tff(14,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(15,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[14])).
% 19.46/19.75 tff(16,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(17,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[16])).
% 19.46/19.75 tff(18,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(19,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[18])).
% 19.46/19.75 tff(20,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(21,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[20])).
% 19.46/19.75 tff(22,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(23,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[22])).
% 19.46/19.75 tff(24,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(25,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[24])).
% 19.46/19.75 tff(26,plain,
% 19.46/19.75 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 19.46/19.75 inference(bind,[status(th)],[])).
% 19.46/19.75 tff(27,plain,
% 19.46/19.75 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 19.46/19.75 inference(quant_intro,[status(thm)],[26])).
% 19.46/19.75 tff(28,plain,
% 19.46/19.75 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.75 inference(rewrite,[status(thm)],[])).
% 19.46/19.75 tff(29,plain,
% 19.46/19.75 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(30,plain,
% 19.46/19.76 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(31,plain,
% 19.46/19.76 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(32,plain,
% 19.46/19.76 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(33,plain,
% 19.46/19.76 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(34,plain,
% 19.46/19.76 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(35,plain,
% 19.46/19.76 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(36,plain,
% 19.46/19.76 ((r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) <=> (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))))),
% 19.46/19.76 inference(rewrite,[status(thm)],[])).
% 19.46/19.76 tff(37,plain,
% 19.46/19.76 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[36])).
% 19.46/19.76 tff(38,plain,
% 19.46/19.76 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) <=> (r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(transitivity,[status(thm)],[37, 35])).
% 19.46/19.76 tff(39,plain,
% 19.46/19.76 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & (r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[38])).
% 19.46/19.76 tff(40,plain,
% 19.46/19.76 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(transitivity,[status(thm)],[39, 34])).
% 19.46/19.76 tff(41,plain,
% 19.46/19.76 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[40])).
% 19.46/19.76 tff(42,plain,
% 19.46/19.76 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(transitivity,[status(thm)],[41, 33])).
% 19.46/19.76 tff(43,plain,
% 19.46/19.76 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!14, Y!15) & (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[42])).
% 19.46/19.76 tff(44,plain,
% 19.46/19.76 ((r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))) <=> (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(transitivity,[status(thm)],[43, 32])).
% 19.46/19.76 tff(45,plain,
% 19.46/19.76 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!13, X!14) & (r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[44])).
% 19.46/19.76 tff(46,plain,
% 19.46/19.76 ((r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))) <=> (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.76 inference(transitivity,[status(thm)],[45, 31])).
% 19.46/19.76 tff(47,plain,
% 19.46/19.76 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!12, Y!13) & (r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.76 inference(monotonicity,[status(thm)],[46])).
% 19.46/19.76 tff(48,plain,
% 19.46/19.76 ((r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))) <=> (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.77 inference(transitivity,[status(thm)],[47, 30])).
% 19.46/19.77 tff(49,plain,
% 19.46/19.77 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))))) <=> (r1(Y!11, X!12) & (r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.77 inference(monotonicity,[status(thm)],[48])).
% 19.46/19.77 tff(50,plain,
% 19.46/19.77 ((r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))))))) <=> (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.77 inference(transitivity,[status(thm)],[49, 29])).
% 19.46/19.77 tff(51,plain,
% 19.46/19.77 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) <=> (r1(X!0, Y!11) & (r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))))),
% 19.46/19.77 inference(monotonicity,[status(thm)],[50])).
% 19.46/19.77 tff(52,plain,
% 19.46/19.77 ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))),
% 19.46/19.77 inference(transitivity,[status(thm)],[51, 28])).
% 19.46/19.77 tff(53,plain,
% 19.46/19.77 (((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> ((r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.46/19.77 inference(monotonicity,[status(thm)],[52, 27, 25, 23, 21, 19, 17, 15])).
% 19.46/19.77 tff(54,plain,
% 19.46/19.77 (((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.46/19.78 inference(transitivity,[status(thm)],[53, 13])).
% 19.46/19.78 tff(55,plain,
% 19.46/19.78 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 19.46/19.78 inference(bind,[status(th)],[])).
% 19.46/19.78 tff(56,plain,
% 19.46/19.78 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 19.46/19.78 inference(quant_intro,[status(thm)],[55])).
% 19.46/19.78 tff(57,plain,
% 19.46/19.78 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))),
% 19.46/19.78 inference(bind,[status(th)],[])).
% 19.46/19.78 tff(58,plain,
% 19.46/19.78 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))),
% 19.46/19.78 inference(quant_intro,[status(thm)],[57])).
% 19.46/19.78 tff(59,plain,
% 19.46/19.78 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 19.46/19.78 inference(bind,[status(th)],[])).
% 19.46/19.78 tff(60,plain,
% 19.46/19.78 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 19.46/19.78 inference(quant_intro,[status(thm)],[59])).
% 19.46/19.78 tff(61,plain,
% 19.46/19.78 (^[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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.46/19.79 inference(bind,[status(th)],[])).
% 19.46/19.79 tff(62,plain,
% 19.46/19.79 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.46/19.79 inference(quant_intro,[status(thm)],[61])).
% 19.46/19.79 tff(63,plain,
% 19.46/19.79 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 19.46/19.79 inference(bind,[status(th)],[])).
% 19.46/19.79 tff(64,plain,
% 19.46/19.79 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 19.46/19.79 inference(quant_intro,[status(thm)],[63])).
% 19.46/19.79 tff(65,plain,
% 19.46/19.79 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 19.46/19.79 inference(bind,[status(th)],[])).
% 19.46/19.79 tff(66,plain,
% 19.46/19.79 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 19.46/19.79 inference(quant_intro,[status(thm)],[65])).
% 19.46/19.79 tff(67,plain,
% 19.46/19.79 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 19.46/19.79 inference(bind,[status(th)],[])).
% 19.46/19.79 tff(68,plain,
% 19.46/19.79 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 19.57/19.80 inference(quant_intro,[status(thm)],[67])).
% 19.57/19.80 tff(69,plain,
% 19.57/19.80 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & (r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 19.57/19.81 inference(monotonicity,[status(thm)],[68, 66, 64, 62, 60, 58, 56, 54])).
% 19.57/19.81 tff(70,plain,
% 19.57/19.81 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ((r1(X!0, Y!11) & (r1(Y!11, X!12) & (r1(X!12, Y!13) & (r1(Y!13, X!14) & (r1(X!14, Y!15) & (r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X)))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~r1(tptp_fun_Y_4(X), 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))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_1(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 19.57/19.82 inference(transitivity,[status(thm)],[69, 12])).
% 19.57/19.82 tff(71,plain,
% 19.57/19.82 (?[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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.57/19.83 inference(rewrite,[status(thm)],[])).
% 19.57/19.83 tff(72,plain,
% 19.57/19.83 ((~(~?[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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.57/19.84 inference(rewrite,[status(thm)],[])).
% 19.57/19.84 tff(73,plain,
% 19.57/19.84 ((~?[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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![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)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) <=> (~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 19.57/19.86 inference(rewrite,[status(thm)],[])).
% 19.57/19.86 tff(74,plain,
% 19.57/19.86 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![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)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> (~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 19.57/19.87 inference(monotonicity,[status(thm)],[73])).
% 19.57/19.87 tff(75,plain,
% 19.57/19.87 ((~(~?[X: $i] : (~((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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: ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | 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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)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.57/19.88 inference(transitivity,[status(thm)],[74, 72])).
% 19.57/19.88 tff(76,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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((((((![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)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))) & ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y)))))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','main')).
% 19.57/19.89 tff(77,plain,
% 19.57/19.89 (?[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)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.57/19.90 inference(modus_ponens,[status(thm)],[76, 75])).
% 19.57/19.90 tff(78,plain,
% 19.57/19.90 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & ((~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X))))) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 19.67/19.90 inference(modus_ponens,[status(thm)],[77, 71])).
% 19.67/19.90 tff(79,plain,
% 19.67/19.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & r1(X!0, Y!11) & r1(Y!11, X!12) & r1(X!12, Y!13) & r1(Y!13, X!14) & r1(X!14, Y!15) & r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & ![X: $i] : (p1(X) | (~r1(Y!19, X))) & (~(p1(Y!20) | (~r1(X!18, Y!20)))) & ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(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)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ((~p1(tptp_fun_X_1(Y))) & r1(Y, tptp_fun_X_1(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_1(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[78, 70])).
% 19.67/19.91 tff(80,plain,
% 19.67/19.91 (![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 19.67/19.91 inference(and_elim,[status(thm)],[79])).
% 19.67/19.91 tff(81,plain,
% 19.67/19.91 (![X: $i] : (p1(X) | (~r1(Y!19, X)))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[80, 11])).
% 19.67/19.91 tff(82,plain,
% 19.67/19.91 (((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | (p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))),
% 19.67/19.91 inference(rewrite,[status(thm)],[])).
% 19.67/19.91 tff(83,plain,
% 19.67/19.91 ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | (p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))),
% 19.67/19.91 inference(quant_inst,[status(thm)],[])).
% 19.67/19.91 tff(84,plain,
% 19.67/19.91 ((~![X: $i] : (p1(X) | (~r1(Y!19, X)))) | p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))),
% 19.67/19.91 inference(modus_ponens,[status(thm)],[83, 82])).
% 19.67/19.91 tff(85,plain,
% 19.67/19.91 ($false),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[84, 81, 9, 8])).
% 19.67/19.91 tff(86,plain,((~r1(Y!19, tptp_fun_X_3(Y!19))) | p1(tptp_fun_X_3(Y!19))), inference(lemma,lemma(discharge,[]))).
% 19.67/19.91 tff(87,plain,
% 19.67/19.91 ($false),
% 19.67/19.91 inference(unit_resolution,[status(thm)],[86, 7, 5])).
% 19.67/19.91 tff(88,plain,(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))), inference(lemma,lemma(discharge,[]))).
% 19.67/19.91 tff(89,plain,
% 19.67/19.91 (r1(X!0, Y!11)),
% 19.67/19.91 inference(and_elim,[status(thm)],[79])).
% 19.67/19.91 tff(90,plain,
% 19.67/19.91 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 19.67/19.91 inference(bind,[status(th)],[])).
% 19.67/19.91 tff(91,plain,
% 19.67/19.91 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.91 inference(quant_intro,[status(thm)],[90])).
% 19.67/19.91 tff(92,plain,
% 19.67/19.91 (^[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] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 19.67/19.91 inference(bind,[status(th)],[])).
% 19.67/19.91 tff(93,plain,
% 19.67/19.91 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.91 inference(quant_intro,[status(thm)],[92])).
% 19.67/19.91 tff(94,plain,
% 19.67/19.91 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 19.67/19.92 inference(bind,[status(th)],[])).
% 19.67/19.92 tff(95,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.92 inference(quant_intro,[status(thm)],[94])).
% 19.67/19.92 tff(96,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.92 inference(transitivity,[status(thm)],[95, 93])).
% 19.67/19.92 tff(97,plain,
% 19.67/19.92 (^[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_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))))),
% 19.67/19.92 inference(bind,[status(th)],[])).
% 19.67/19.92 tff(98,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.92 inference(quant_intro,[status(thm)],[97])).
% 19.67/19.92 tff(99,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (r1(X, tptp_fun_Y_7(X)) & p1(tptp_fun_Y_7(X)) & (~(p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))))) & ![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (p1(X) & (~(p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))) & (p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | ((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) & (((~p1(tptp_fun_Y_4(X))) & r1(X, tptp_fun_Y_4(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (r1(X, tptp_fun_Y_9(X)) & p1(tptp_fun_Y_9(X)) & (~(p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.67/19.92 inference(and_elim,[status(thm)],[79])).
% 19.67/19.92 tff(100,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.92 inference(modus_ponens,[status(thm)],[99, 98])).
% 19.67/19.92 tff(101,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))))) | (~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : (![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))) | (~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_4(X), X)))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.92 inference(modus_ponens,[status(thm)],[100, 96])).
% 19.67/19.92 tff(102,plain,
% 19.67/19.92 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.93 inference(modus_ponens,[status(thm)],[101, 91])).
% 19.67/19.93 tff(103,plain,
% 19.67/19.93 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.93 inference(rewrite,[status(thm)],[])).
% 19.67/19.93 tff(104,plain,
% 19.67/19.93 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | ((~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))),
% 19.67/19.93 inference(quant_inst,[status(thm)],[])).
% 19.67/19.93 tff(105,plain,
% 19.67/19.93 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))))) | (~r1(X!0, Y!11)) | ![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.67/19.93 inference(modus_ponens,[status(thm)],[104, 103])).
% 19.67/19.93 tff(106,plain,
% 19.67/19.93 (![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.67/19.93 inference(unit_resolution,[status(thm)],[105, 102, 89])).
% 19.67/19.93 tff(107,plain,
% 19.67/19.93 (r1(Y!11, X!12)),
% 19.67/19.93 inference(and_elim,[status(thm)],[79])).
% 19.67/19.93 tff(108,plain,
% 19.67/19.93 (((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.67/19.93 inference(rewrite,[status(thm)],[])).
% 19.67/19.93 tff(109,plain,
% 19.67/19.93 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | ((~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))),
% 19.67/19.94 inference(quant_inst,[status(thm)],[])).
% 19.67/19.94 tff(110,plain,
% 19.67/19.94 ((~![X: $i] : ((~r1(Y!11, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))))) | (~r1(Y!11, X!12)) | ![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 19.67/19.94 inference(modus_ponens,[status(thm)],[109, 108])).
% 19.67/19.94 tff(111,plain,
% 19.67/19.94 (![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 19.67/19.94 inference(unit_resolution,[status(thm)],[110, 107, 106])).
% 19.67/19.94 tff(112,plain,
% 19.67/19.94 (r1(X!12, Y!13)),
% 19.67/19.94 inference(and_elim,[status(thm)],[79])).
% 19.67/19.94 tff(113,plain,
% 19.67/19.94 (((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 19.67/19.94 inference(rewrite,[status(thm)],[])).
% 19.67/19.94 tff(114,plain,
% 19.67/19.94 ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | ((~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))),
% 19.67/19.94 inference(quant_inst,[status(thm)],[])).
% 19.67/19.94 tff(115,plain,
% 19.67/19.94 ((~![Y: $i] : ((~r1(X!12, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))))) | (~r1(X!12, Y!13)) | ![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 19.67/19.94 inference(modus_ponens,[status(thm)],[114, 113])).
% 19.67/19.94 tff(116,plain,
% 19.67/19.94 (![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 19.67/19.94 inference(unit_resolution,[status(thm)],[115, 112, 111])).
% 19.67/19.94 tff(117,plain,
% 19.67/19.94 (r1(Y!13, X!14)),
% 19.67/19.94 inference(and_elim,[status(thm)],[79])).
% 19.67/19.94 tff(118,plain,
% 19.67/19.94 (((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 19.67/19.95 inference(rewrite,[status(thm)],[])).
% 19.67/19.95 tff(119,plain,
% 19.67/19.95 ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | ((~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))),
% 19.67/19.95 inference(quant_inst,[status(thm)],[])).
% 19.67/19.95 tff(120,plain,
% 19.67/19.95 ((~![X: $i] : ((~r1(Y!13, X)) | ![Y: $i] : ((~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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))))) | (~r1(Y!13, X!14)) | ![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 19.67/19.95 inference(modus_ponens,[status(thm)],[119, 118])).
% 19.67/19.95 tff(121,plain,
% 19.67/19.95 (![Y: $i] : ((~r1(X!14, 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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 19.67/19.95 inference(unit_resolution,[status(thm)],[120, 117, 116])).
% 19.67/19.95 tff(122,plain,
% 19.67/19.95 (r1(X!14, Y!15)),
% 19.67/19.95 inference(and_elim,[status(thm)],[79])).
% 19.67/19.95 tff(123,plain,
% 19.67/19.95 (((~![Y: $i] : ((~r1(X!14, 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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!14, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 19.67/19.95 inference(rewrite,[status(thm)],[])).
% 19.67/19.95 tff(124,plain,
% 19.67/19.95 ((~![Y: $i] : ((~r1(X!14, 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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | ((~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))),
% 19.67/19.95 inference(quant_inst,[status(thm)],[])).
% 19.67/19.95 tff(125,plain,
% 19.67/19.95 ((~![Y: $i] : ((~r1(X!14, 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_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))))) | (~r1(X!14, Y!15)) | ![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 19.67/19.96 inference(modus_ponens,[status(thm)],[124, 123])).
% 19.67/19.96 tff(126,plain,
% 19.67/19.96 (![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 19.67/19.96 inference(unit_resolution,[status(thm)],[125, 122, 121])).
% 19.67/19.96 tff(127,plain,
% 19.67/19.96 (r1(Y!15, X!16)),
% 19.67/19.96 inference(and_elim,[status(thm)],[79])).
% 19.67/19.96 tff(128,plain,
% 19.67/19.96 (((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 19.67/19.96 inference(rewrite,[status(thm)],[])).
% 19.67/19.96 tff(129,plain,
% 19.67/19.96 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))),
% 19.67/19.96 inference(quant_inst,[status(thm)],[])).
% 19.67/19.96 tff(130,plain,
% 19.67/19.96 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 19.67/19.96 inference(modus_ponens,[status(thm)],[129, 128])).
% 19.67/19.96 tff(131,plain,
% 19.67/19.96 (![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 19.67/19.96 inference(unit_resolution,[status(thm)],[130, 127, 126])).
% 19.67/19.96 tff(132,plain,
% 19.67/19.96 (r1(X!16, Y!17)),
% 19.67/19.96 inference(and_elim,[status(thm)],[79])).
% 19.67/19.96 tff(133,plain,
% 19.67/19.96 (((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 19.67/19.97 inference(rewrite,[status(thm)],[])).
% 19.67/19.97 tff(134,plain,
% 19.67/19.97 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))),
% 19.67/19.97 inference(quant_inst,[status(thm)],[])).
% 19.67/19.97 tff(135,plain,
% 19.67/19.97 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 19.67/19.97 inference(modus_ponens,[status(thm)],[134, 133])).
% 19.67/19.97 tff(136,plain,
% 19.67/19.97 (![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 19.67/19.97 inference(unit_resolution,[status(thm)],[135, 132, 131])).
% 19.67/19.97 tff(137,plain,
% 19.67/19.97 (r1(Y!17, X!18)),
% 19.67/19.97 inference(and_elim,[status(thm)],[79])).
% 19.67/19.97 tff(138,plain,
% 19.67/19.97 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))))))),
% 19.67/19.97 inference(rewrite,[status(thm)],[])).
% 19.67/19.97 tff(139,plain,
% 19.67/19.97 (((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))))))) <=> ((~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))))))),
% 19.67/19.97 inference(rewrite,[status(thm)],[])).
% 19.67/19.97 tff(140,plain,
% 19.67/19.97 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))))))),
% 19.67/19.98 inference(monotonicity,[status(thm)],[139])).
% 19.67/19.98 tff(141,plain,
% 19.67/19.98 (((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))))))),
% 19.67/19.98 inference(transitivity,[status(thm)],[140, 138])).
% 19.67/19.98 tff(142,plain,
% 19.67/19.98 ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | ((~r1(Y!17, X!18)) | (~((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X!18)) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))),
% 19.67/19.98 inference(quant_inst,[status(thm)],[])).
% 19.67/19.98 tff(143,plain,
% 19.67/19.98 ((~![X: $i] : ((~r1(Y!17, X)) | (~((~![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~(p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))) | (~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))) | (~((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | ![Y: $i] : ((~r1(X, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | (~((~p1(tptp_fun_Y_7(X))) | (~r1(X, tptp_fun_Y_7(X))) | p1(tptp_fun_X_8(X)) | (~r1(tptp_fun_Y_7(X), tptp_fun_X_8(X))) | (~![X: $i] : ((~r1(tptp_fun_Y_7(X), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (~((~(p1(tptp_fun_Y_4(X)) | (~r1(X, tptp_fun_Y_4(X))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))))))) | (~r1(Y!17, X!18)) | (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))))),
% 19.67/19.98 inference(modus_ponens,[status(thm)],[142, 141])).
% 19.67/19.98 tff(144,plain,
% 19.67/19.98 (~((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))))),
% 19.67/19.98 inference(unit_resolution,[status(thm)],[143, 137, 136])).
% 19.67/19.98 tff(145,plain,
% 19.67/19.98 (((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 19.67/19.98 inference(tautology,[status(thm)],[])).
% 19.67/19.98 tff(146,plain,
% 19.67/19.98 (![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 19.67/19.98 inference(unit_resolution,[status(thm)],[145, 144])).
% 19.67/19.98 tff(147,plain,
% 19.67/19.98 (r1(X!18, Y!19)),
% 19.67/19.98 inference(and_elim,[status(thm)],[79])).
% 19.67/19.98 tff(148,plain,
% 19.67/19.98 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 19.67/19.98 inference(rewrite,[status(thm)],[])).
% 19.67/19.98 tff(149,plain,
% 19.67/19.98 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 19.67/19.98 inference(quant_inst,[status(thm)],[])).
% 19.67/19.98 tff(150,plain,
% 19.67/19.98 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 19.67/19.98 inference(modus_ponens,[status(thm)],[149, 148])).
% 19.67/19.98 tff(151,plain,
% 19.67/19.98 ((~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 19.67/19.98 inference(unit_resolution,[status(thm)],[150, 147, 146])).
% 19.67/19.98 tff(152,plain,
% 19.67/19.98 (![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 19.67/19.98 inference(unit_resolution,[status(thm)],[151, 88])).
% 19.67/19.98 tff(153,assumption,(![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))), introduced(assumption)).
% 19.67/19.98 tff(154,assumption,(~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))), introduced(assumption)).
% 19.67/19.99 tff(155,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))) | r1(Y!19, tptp_fun_X_5(Y!19))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(156,plain,
% 19.67/19.99 (r1(Y!19, tptp_fun_X_5(Y!19))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[155, 154])).
% 19.67/19.99 tff(157,plain,
% 19.67/19.99 (((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!19, tptp_fun_X_5(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y))))) <=> ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(158,plain,
% 19.67/19.99 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~r1(Y!19, tptp_fun_X_5(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(159,plain,
% 19.67/19.99 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[158, 157])).
% 19.67/19.99 tff(160,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[159, 156, 153])).
% 19.67/19.99 tff(161,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))) | r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(162,plain,
% 19.67/19.99 (r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[161, 154])).
% 19.67/19.99 tff(163,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))) | (~p1(tptp_fun_Y_6(Y!19)))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(164,plain,
% 19.67/19.99 (~p1(tptp_fun_Y_6(Y!19))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[163, 154])).
% 19.67/19.99 tff(165,plain,
% 19.67/19.99 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))) | (p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(166,plain,
% 19.67/19.99 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))) | (p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(167,plain,
% 19.67/19.99 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(Y!19), Y)))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[166, 165])).
% 19.67/19.99 tff(168,plain,
% 19.67/19.99 ($false),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[167, 164, 162, 160])).
% 19.67/19.99 tff(169,plain,(((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))) | (~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 19.67/19.99 tff(170,plain,
% 19.67/19.99 ((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[169, 152])).
% 19.67/19.99 tff(171,plain,
% 19.67/19.99 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(172,plain,
% 19.67/19.99 (((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))))) <=> ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(173,plain,
% 19.67/19.99 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))))))),
% 19.67/19.99 inference(monotonicity,[status(thm)],[172])).
% 19.67/19.99 tff(174,plain,
% 19.67/19.99 (((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))),
% 19.67/19.99 inference(transitivity,[status(thm)],[173, 171])).
% 19.67/19.99 tff(175,plain,
% 19.67/19.99 ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | ((~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19))))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(176,plain,
% 19.67/19.99 ((~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (~r1(X!18, Y!19)) | (~((~p1(tptp_fun_X_5(Y!19))) | p1(tptp_fun_Y_6(Y!19)) | (~r1(Y!19, tptp_fun_X_5(Y!19))) | (~r1(tptp_fun_X_5(Y!19), tptp_fun_Y_6(Y!19)))))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[175, 174])).
% 19.67/19.99 tff(177,plain,
% 19.67/19.99 ($false),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[176, 147, 170, 2])).
% 19.67/19.99 tff(178,plain,(~![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))), inference(lemma,lemma(discharge,[]))).
% 19.67/19.99 tff(179,assumption,(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))), introduced(assumption)).
% 19.67/19.99 tff(180,assumption,(![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))), introduced(assumption)).
% 19.67/19.99 tff(181,plain,
% 19.67/19.99 (((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(182,plain,
% 19.67/19.99 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | ((~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19))))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(183,plain,
% 19.67/19.99 ((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~r1(X!18, Y!19)) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[182, 181])).
% 19.67/19.99 tff(184,plain,
% 19.67/19.99 ($false),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[183, 147, 180, 179])).
% 19.67/19.99 tff(185,plain,((~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))) | (~(p1(tptp_fun_X_3(Y!19)) | (~r1(Y!19, tptp_fun_X_3(Y!19)))))), inference(lemma,lemma(discharge,[]))).
% 19.67/19.99 tff(186,plain,
% 19.67/19.99 (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[185, 88])).
% 19.67/19.99 tff(187,assumption,(~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))), introduced(assumption)).
% 19.67/19.99 tff(188,plain,
% 19.67/19.99 ((p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~p1(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(189,plain,
% 19.67/19.99 (~p1(tptp_fun_Y_4(X!18))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[188, 187])).
% 19.67/19.99 tff(190,plain,
% 19.67/19.99 ((p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | r1(X!18, tptp_fun_Y_4(X!18))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(191,plain,
% 19.67/19.99 (r1(X!18, tptp_fun_Y_4(X!18))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[190, 187])).
% 19.67/19.99 tff(192,assumption,(~p1(tptp_fun_Y_4(X!18))), introduced(assumption)).
% 19.67/19.99 tff(193,plain,
% 19.67/19.99 (^[Y: $i] : refl((p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 19.67/19.99 inference(bind,[status(th)],[])).
% 19.67/19.99 tff(194,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 19.67/19.99 inference(quant_intro,[status(thm)],[193])).
% 19.67/19.99 tff(195,plain,
% 19.67/19.99 (^[Y: $i] : rewrite((p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 19.67/19.99 inference(bind,[status(th)],[])).
% 19.67/19.99 tff(196,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) <=> ![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 19.67/19.99 inference(quant_intro,[status(thm)],[195])).
% 19.67/19.99 tff(197,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (r1(Y, tptp_fun_X_5(Y)) & p1(tptp_fun_X_5(Y)) & (~(p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))))),
% 19.67/19.99 inference(and_elim,[status(thm)],[79])).
% 19.67/19.99 tff(198,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[197, 196])).
% 19.67/19.99 tff(199,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[198, 194])).
% 19.67/19.99 tff(200,plain,
% 19.67/19.99 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(201,plain,
% 19.67/19.99 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | (p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(202,plain,
% 19.67/19.99 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y))))))) | p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[201, 200])).
% 19.67/19.99 tff(203,plain,
% 19.67/19.99 (~((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[202, 199, 192, 191])).
% 19.67/19.99 tff(204,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))) | r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(205,plain,
% 19.67/19.99 (r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[204, 203])).
% 19.67/19.99 tff(206,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))) | p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(207,plain,
% 19.67/19.99 (p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[206, 203])).
% 19.67/19.99 tff(208,plain,
% 19.67/19.99 ((p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(209,plain,
% 19.67/19.99 (![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[208, 187])).
% 19.67/19.99 tff(210,plain,
% 19.67/19.99 (((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y))))),
% 19.67/19.99 inference(rewrite,[status(thm)],[])).
% 19.67/19.99 tff(211,plain,
% 19.67/19.99 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y))))),
% 19.67/19.99 inference(quant_inst,[status(thm)],[])).
% 19.67/19.99 tff(212,plain,
% 19.67/19.99 ((~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))),
% 19.67/19.99 inference(modus_ponens,[status(thm)],[211, 210])).
% 19.67/19.99 tff(213,plain,
% 19.67/19.99 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[212, 209, 207, 205])).
% 19.67/19.99 tff(214,plain,
% 19.67/19.99 (((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))) | r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(tautology,[status(thm)],[])).
% 19.67/19.99 tff(215,plain,
% 19.67/19.99 (r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))),
% 19.67/19.99 inference(unit_resolution,[status(thm)],[214, 203])).
% 19.67/20.00 tff(216,plain,
% 19.67/20.00 (((~p1(tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | (~r1(tptp_fun_Y_4(X!18), tptp_fun_X_5(tptp_fun_Y_4(X!18)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))) | (~p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(217,plain,
% 19.67/20.00 (~p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18)))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[216, 203])).
% 19.67/20.00 tff(218,plain,
% 19.67/20.00 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))),
% 19.67/20.00 inference(rewrite,[status(thm)],[])).
% 19.67/20.00 tff(219,plain,
% 19.67/20.00 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))) | (p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18)))))),
% 19.67/20.00 inference(quant_inst,[status(thm)],[])).
% 19.67/20.00 tff(220,plain,
% 19.67/20.00 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), Y)))) | p1(tptp_fun_Y_6(tptp_fun_Y_4(X!18))) | (~r1(tptp_fun_X_5(tptp_fun_Y_4(X!18)), tptp_fun_Y_6(tptp_fun_Y_4(X!18))))),
% 19.67/20.00 inference(modus_ponens,[status(thm)],[219, 218])).
% 19.67/20.00 tff(221,plain,
% 19.67/20.00 ($false),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[220, 217, 215, 213])).
% 19.67/20.00 tff(222,plain,((p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_4(X!18))), inference(lemma,lemma(discharge,[]))).
% 19.67/20.00 tff(223,plain,
% 19.67/20.00 ($false),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[222, 189, 187])).
% 19.67/20.00 tff(224,plain,(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), inference(lemma,lemma(discharge,[]))).
% 19.67/20.00 tff(225,plain,
% 19.67/20.00 (((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))) | ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(226,plain,
% 19.67/20.00 ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[225, 144])).
% 19.67/20.00 tff(227,plain,
% 19.67/20.00 ((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(228,plain,
% 19.67/20.00 ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[227, 226])).
% 19.67/20.00 tff(229,plain,
% 19.67/20.00 (p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[228, 224])).
% 19.67/20.00 tff(230,plain,
% 19.67/20.00 (p1(X!18)),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[229, 186])).
% 19.67/20.00 tff(231,assumption,(![Y: $i] : (p1(Y) | (~r1(X!18, Y)))), introduced(assumption)).
% 19.67/20.00 tff(232,plain,
% 19.67/20.00 (~(p1(Y!20) | (~r1(X!18, Y!20)))),
% 19.67/20.00 inference(and_elim,[status(thm)],[79])).
% 19.67/20.00 tff(233,plain,
% 19.67/20.00 (r1(X!18, Y!20)),
% 19.67/20.00 inference(or_elim,[status(thm)],[232])).
% 19.67/20.00 tff(234,plain,
% 19.67/20.00 (~p1(Y!20)),
% 19.67/20.00 inference(or_elim,[status(thm)],[232])).
% 19.67/20.00 tff(235,plain,
% 19.67/20.00 (((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | (p1(Y!20) | (~r1(X!18, Y!20)))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | p1(Y!20) | (~r1(X!18, Y!20)))),
% 19.67/20.00 inference(rewrite,[status(thm)],[])).
% 19.67/20.00 tff(236,plain,
% 19.67/20.00 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | (p1(Y!20) | (~r1(X!18, Y!20)))),
% 19.67/20.00 inference(quant_inst,[status(thm)],[])).
% 19.67/20.00 tff(237,plain,
% 19.67/20.00 ((~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))) | p1(Y!20) | (~r1(X!18, Y!20))),
% 19.67/20.00 inference(modus_ponens,[status(thm)],[236, 235])).
% 19.67/20.00 tff(238,plain,
% 19.67/20.00 ($false),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[237, 234, 233, 231])).
% 19.67/20.00 tff(239,plain,(~![Y: $i] : (p1(Y) | (~r1(X!18, Y)))), inference(lemma,lemma(discharge,[]))).
% 19.67/20.00 tff(240,plain,
% 19.67/20.00 (((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))) | (![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(241,plain,
% 19.67/20.00 (![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[240, 144])).
% 19.67/20.00 tff(242,plain,
% 19.67/20.00 ((~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))))) | ![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(243,plain,
% 19.67/20.00 (![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[242, 241])).
% 19.67/20.00 tff(244,plain,
% 19.67/20.00 (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[243, 239, 230, 178])).
% 19.67/20.00 tff(245,plain,
% 19.67/20.00 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))) | r1(X!18, tptp_fun_Y_7(X!18))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(246,plain,
% 19.67/20.00 (r1(X!18, tptp_fun_Y_7(X!18))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[245, 244])).
% 19.67/20.00 tff(247,plain,
% 19.67/20.00 (((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | p1(X!18) | ![Y: $i] : ((~r1(X!18, Y)) | (~(p1(tptp_fun_X_3(Y)) | (~r1(Y, tptp_fun_X_3(Y)))))))) | (~(![Y: $i] : ((~r1(X!18, Y)) | (~((~p1(tptp_fun_X_5(Y))) | (~r1(Y, tptp_fun_X_5(Y))) | p1(tptp_fun_Y_6(Y)) | (~r1(tptp_fun_X_5(Y), tptp_fun_Y_6(Y)))))) | ![Y: $i] : (p1(Y) | (~r1(X!18, Y))) | (~p1(X!18)) | (~((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))))))) | ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(248,plain,
% 19.67/20.00 ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[247, 144])).
% 19.67/20.00 tff(249,plain,
% 19.67/20.00 ((~((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))))) | (~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(250,plain,
% 19.67/20.00 ((~(p1(tptp_fun_Y_4(X!18)) | (~r1(X!18, tptp_fun_Y_4(X!18))) | (~![X: $i] : ((~p1(X)) | (~r1(tptp_fun_Y_4(X!18), X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[249, 248])).
% 19.67/20.00 tff(251,plain,
% 19.67/20.00 (![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[250, 224])).
% 19.67/20.00 tff(252,plain,
% 19.67/20.00 (((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(rewrite,[status(thm)],[])).
% 19.67/20.00 tff(253,plain,
% 19.67/20.00 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | ((~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))),
% 19.67/20.00 inference(quant_inst,[status(thm)],[])).
% 19.67/20.00 tff(254,plain,
% 19.67/20.00 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X)))))))) | (~r1(X!18, tptp_fun_Y_7(X!18))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 19.67/20.00 inference(modus_ponens,[status(thm)],[253, 252])).
% 19.67/20.00 tff(255,plain,
% 19.67/20.00 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[254, 251, 246])).
% 19.67/20.00 tff(256,plain,
% 19.67/20.00 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))) | (~p1(tptp_fun_X_8(X!18)))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(257,plain,
% 19.67/20.00 (~p1(tptp_fun_X_8(X!18))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[256, 244])).
% 19.67/20.00 tff(258,plain,
% 19.67/20.00 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))) | r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))),
% 19.67/20.00 inference(tautology,[status(thm)],[])).
% 19.67/20.00 tff(259,plain,
% 19.67/20.00 (r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))),
% 19.67/20.00 inference(unit_resolution,[status(thm)],[258, 244])).
% 19.67/20.00 tff(260,plain,
% 19.67/20.00 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))))),
% 19.67/20.00 inference(rewrite,[status(thm)],[])).
% 19.67/20.00 tff(261,plain,
% 19.67/20.00 ((p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))))) <=> (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))))),
% 19.67/20.00 inference(rewrite,[status(thm)],[])).
% 19.67/20.00 tff(262,plain,
% 19.67/20.00 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))))),
% 19.67/20.01 inference(monotonicity,[status(thm)],[261])).
% 19.67/20.01 tff(263,plain,
% 19.67/20.01 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))))),
% 19.67/20.01 inference(transitivity,[status(thm)],[262, 260])).
% 19.67/20.01 tff(264,plain,
% 19.67/20.01 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | (p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))))),
% 19.67/20.01 inference(quant_inst,[status(thm)],[])).
% 19.67/20.01 tff(265,plain,
% 19.67/20.01 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(tptp_fun_Y_9(X))) | (~r1(X, tptp_fun_Y_9(X))) | p1(tptp_fun_X_10(X)) | (~r1(tptp_fun_Y_9(X), tptp_fun_X_10(X))))))) | p1(tptp_fun_X_8(X!18)) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))))),
% 19.67/20.01 inference(modus_ponens,[status(thm)],[264, 263])).
% 19.67/20.01 tff(266,plain,
% 19.67/20.01 (~((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[265, 259, 257, 255])).
% 19.67/20.01 tff(267,plain,
% 19.67/20.01 (((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))) | (~p1(tptp_fun_X_10(tptp_fun_X_8(X!18))))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(268,plain,
% 19.67/20.01 (~p1(tptp_fun_X_10(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[267, 266])).
% 19.67/20.01 tff(269,plain,
% 19.67/20.01 (((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))) | r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(270,plain,
% 19.67/20.01 (r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[269, 266])).
% 19.67/20.01 tff(271,plain,
% 19.67/20.01 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))),
% 19.67/20.01 inference(rewrite,[status(thm)],[])).
% 19.67/20.01 tff(272,plain,
% 19.67/20.01 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | (p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))))),
% 19.67/20.01 inference(quant_inst,[status(thm)],[])).
% 19.67/20.01 tff(273,plain,
% 19.67/20.01 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18))))),
% 19.67/20.01 inference(modus_ponens,[status(thm)],[272, 271])).
% 19.67/20.01 tff(274,plain,
% 19.67/20.01 ($false),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[273, 270, 268, 1])).
% 19.67/20.01 tff(275,plain,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))), inference(lemma,lemma(discharge,[]))).
% 19.67/20.01 tff(276,plain,
% 19.67/20.01 (((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))) | p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(277,plain,
% 19.67/20.01 (p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[276, 266])).
% 19.67/20.01 tff(278,plain,
% 19.67/20.01 (((~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), tptp_fun_X_10(tptp_fun_X_8(X!18)))) | p1(tptp_fun_X_10(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18))))) | r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(279,plain,
% 19.67/20.01 (r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[278, 266])).
% 19.67/20.01 tff(280,plain,
% 19.67/20.01 (((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18))))) | p1(tptp_fun_X_8(X!18))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(281,plain,
% 19.67/20.01 ((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18))))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[280, 257])).
% 19.67/20.01 tff(282,plain,
% 19.67/20.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | p1(tptp_fun_X_8(X!18)) | (~p1(tptp_fun_Y_7(X!18))) | (~r1(X!18, tptp_fun_Y_7(X!18)))) | ![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 19.67/20.01 inference(tautology,[status(thm)],[])).
% 19.67/20.01 tff(283,plain,
% 19.67/20.01 (![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[282, 244])).
% 19.67/20.01 tff(284,plain,
% 19.67/20.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 19.67/20.01 inference(rewrite,[status(thm)],[])).
% 19.67/20.01 tff(285,plain,
% 19.67/20.01 (((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) <=> ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 19.67/20.01 inference(rewrite,[status(thm)],[])).
% 19.67/20.01 tff(286,plain,
% 19.67/20.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))))),
% 19.67/20.01 inference(monotonicity,[status(thm)],[285])).
% 19.67/20.01 tff(287,plain,
% 19.67/20.01 (((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y))))),
% 19.67/20.01 inference(transitivity,[status(thm)],[286, 284])).
% 19.67/20.01 tff(288,plain,
% 19.67/20.01 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~r1(tptp_fun_X_8(X!18), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 19.67/20.01 inference(quant_inst,[status(thm)],[])).
% 19.67/20.01 tff(289,plain,
% 19.67/20.01 ((~![X: $i] : ((~r1(tptp_fun_Y_7(X!18), X)) | (~((~p1(X)) | p1(tptp_fun_Y_2(X)) | (~r1(X, tptp_fun_Y_2(X))))) | ![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(tptp_fun_Y_7(X!18), tptp_fun_X_8(X!18))) | (~((~p1(tptp_fun_X_8(X!18))) | p1(tptp_fun_Y_2(tptp_fun_X_8(X!18))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_2(tptp_fun_X_8(X!18)))))) | ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 19.67/20.01 inference(modus_ponens,[status(thm)],[288, 287])).
% 19.67/20.01 tff(290,plain,
% 19.67/20.01 (![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))),
% 19.67/20.01 inference(unit_resolution,[status(thm)],[289, 283, 259, 281])).
% 19.67/20.01 tff(291,plain,
% 19.67/20.01 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 19.79/20.04 inference(rewrite,[status(thm)],[])).
% 19.79/20.04 tff(292,plain,
% 19.79/20.04 (((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18))))) <=> ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 19.79/20.04 inference(rewrite,[status(thm)],[])).
% 19.79/20.04 tff(293,plain,
% 19.79/20.04 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))))),
% 19.79/20.04 inference(monotonicity,[status(thm)],[292])).
% 19.79/20.04 tff(294,plain,
% 19.79/20.04 (((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))) <=> ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))))),
% 19.79/20.04 inference(transitivity,[status(thm)],[293, 291])).
% 19.79/20.04 tff(295,plain,
% 19.79/20.04 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | ((~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))))),
% 19.79/20.04 inference(quant_inst,[status(thm)],[])).
% 19.79/20.04 tff(296,plain,
% 19.79/20.04 ((~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_8(X!18), Y)))) | (~r1(tptp_fun_X_8(X!18), tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | (~p1(tptp_fun_Y_9(tptp_fun_X_8(X!18)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_9(tptp_fun_X_8(X!18)), X)))),
% 19.79/20.04 inference(modus_ponens,[status(thm)],[295, 294])).
% 19.79/20.04 tff(297,plain,
% 19.79/20.04 ($false),
% 19.79/20.04 inference(unit_resolution,[status(thm)],[296, 290, 279, 277, 275])).
% 19.79/20.04 % SZS output end Proof
% 19.79/20.05 % E exiting
%------------------------------------------------------------------------------