%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL640+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.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 215.15s 215.43s
% Output : Proof 215.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL640+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E %s %d THM
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat Sep 5 04:39:07 UTC 2026
% 0.14/0.41 % CPUTime :
% 215.15/215.43 % SZS status Theorem
% 215.15/215.43 % SZS output start Proof
% 215.15/215.43 tff(r1_type, type, (
% 215.15/215.43 r1: ( $i * $i ) > $o)).
% 215.15/215.43 tff(tptp_fun_Y_10_type, type, (
% 215.15/215.43 tptp_fun_Y_10: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_9_type, type, (
% 215.15/215.43 tptp_fun_X_9: $i > $i)).
% 215.15/215.43 tff(p1_type, type, (
% 215.15/215.43 p1: $i > $o)).
% 215.15/215.43 tff(tptp_fun_X_7_type, type, (
% 215.15/215.43 tptp_fun_X_7: $i > $i)).
% 215.15/215.43 tff(tptp_fun_Y_21_type, type, (
% 215.15/215.43 tptp_fun_Y_21: $i)).
% 215.15/215.43 tff(tptp_fun_Y_8_type, type, (
% 215.15/215.43 tptp_fun_Y_8: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_4_type, type, (
% 215.15/215.43 tptp_fun_X_4: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_6_type, type, (
% 215.15/215.43 tptp_fun_X_6: $i > $i)).
% 215.15/215.43 tff(tptp_fun_Y_5_type, type, (
% 215.15/215.43 tptp_fun_Y_5: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_23_type, type, (
% 215.15/215.43 tptp_fun_X_23: $i)).
% 215.15/215.43 tff(tptp_fun_Y_1_type, type, (
% 215.15/215.43 tptp_fun_Y_1: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_2_type, type, (
% 215.15/215.43 tptp_fun_X_2: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_20_type, type, (
% 215.15/215.43 tptp_fun_X_20: $i)).
% 215.15/215.43 tff(tptp_fun_Y_19_type, type, (
% 215.15/215.43 tptp_fun_Y_19: $i)).
% 215.15/215.43 tff(tptp_fun_X_18_type, type, (
% 215.15/215.43 tptp_fun_X_18: $i)).
% 215.15/215.43 tff(tptp_fun_Y_17_type, type, (
% 215.15/215.43 tptp_fun_Y_17: $i)).
% 215.15/215.43 tff(tptp_fun_X_16_type, type, (
% 215.15/215.43 tptp_fun_X_16: $i)).
% 215.15/215.43 tff(tptp_fun_Y_15_type, type, (
% 215.15/215.43 tptp_fun_Y_15: $i)).
% 215.15/215.43 tff(tptp_fun_X_14_type, type, (
% 215.15/215.43 tptp_fun_X_14: $i)).
% 215.15/215.43 tff(tptp_fun_Y_13_type, type, (
% 215.15/215.43 tptp_fun_Y_13: $i)).
% 215.15/215.43 tff(tptp_fun_X_12_type, type, (
% 215.15/215.43 tptp_fun_X_12: $i)).
% 215.15/215.43 tff(tptp_fun_Y_11_type, type, (
% 215.15/215.43 tptp_fun_Y_11: $i)).
% 215.15/215.43 tff(tptp_fun_X_0_type, type, (
% 215.15/215.43 tptp_fun_X_0: $i)).
% 215.15/215.43 tff(tptp_fun_Y_3_type, type, (
% 215.15/215.43 tptp_fun_Y_3: $i > $i)).
% 215.15/215.43 tff(tptp_fun_X_22_type, type, (
% 215.15/215.43 tptp_fun_X_22: $i)).
% 215.15/215.43 tff(1,assumption,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))), introduced(assumption)).
% 215.15/215.43 tff(2,assumption,(~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))), introduced(assumption)).
% 215.15/215.43 tff(3,plain,
% 215.15/215.43 (((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | (~p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))),
% 215.15/215.43 inference(tautology,[status(thm)],[])).
% 215.15/215.43 tff(4,plain,
% 215.15/215.43 (~p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(unit_resolution,[status(thm)],[3, 2])).
% 215.15/215.43 tff(5,plain,
% 215.15/215.43 (((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(tautology,[status(thm)],[])).
% 215.15/215.43 tff(6,plain,
% 215.15/215.43 (r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(unit_resolution,[status(thm)],[5, 2])).
% 215.15/215.43 tff(7,plain,
% 215.15/215.43 (((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(tautology,[status(thm)],[])).
% 215.15/215.43 tff(8,plain,
% 215.15/215.43 (p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(unit_resolution,[status(thm)],[7, 2])).
% 215.15/215.43 tff(9,plain,
% 215.15/215.43 (((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(tautology,[status(thm)],[])).
% 215.15/215.43 tff(10,plain,
% 215.15/215.43 (r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 215.15/215.43 inference(unit_resolution,[status(thm)],[9, 2])).
% 215.15/215.43 tff(11,assumption,(p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))), introduced(assumption)).
% 215.15/215.43 tff(12,assumption,(r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))), introduced(assumption)).
% 215.15/215.43 tff(13,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))), introduced(assumption)).
% 215.15/215.43 tff(14,assumption,(~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))), introduced(assumption)).
% 215.15/215.43 tff(15,plain,
% 215.15/215.43 (((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))) | r1(X!23, tptp_fun_Y_5(X!23))),
% 215.15/215.43 inference(tautology,[status(thm)],[])).
% 215.15/215.43 tff(16,plain,
% 215.15/215.43 (r1(X!23, tptp_fun_Y_5(X!23))),
% 215.15/215.43 inference(unit_resolution,[status(thm)],[15, 14])).
% 215.15/215.43 tff(17,assumption,((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))), introduced(assumption)).
% 215.15/215.43 tff(18,plain,
% 215.15/215.43 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.15/215.45 inference(rewrite,[status(thm)],[])).
% 215.15/215.45 tff(19,plain,
% 215.15/215.45 (((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.15/215.45 inference(rewrite,[status(thm)],[])).
% 215.15/215.45 tff(20,plain,
% 215.15/215.45 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.15/215.45 inference(bind,[status(th)],[])).
% 215.15/215.45 tff(21,plain,
% 215.15/215.45 (![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 215.15/215.45 inference(quant_intro,[status(thm)],[20])).
% 215.15/215.45 tff(22,plain,
% 215.15/215.45 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))),
% 215.15/215.45 inference(bind,[status(th)],[])).
% 215.15/215.45 tff(23,plain,
% 215.15/215.45 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))),
% 215.15/215.45 inference(quant_intro,[status(thm)],[22])).
% 215.15/215.45 tff(24,plain,
% 215.15/215.45 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(25,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[24])).
% 215.15/215.46 tff(26,plain,
% 215.15/215.46 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(27,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[26])).
% 215.15/215.46 tff(28,plain,
% 215.15/215.46 (^[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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ((~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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(29,plain,
% 215.15/215.46 (![Y: $i] : ((~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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[28])).
% 215.15/215.46 tff(30,plain,
% 215.15/215.46 (^[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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(31,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[30])).
% 215.15/215.46 tff(32,plain,
% 215.15/215.46 (^[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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(33,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[32])).
% 215.15/215.46 tff(34,plain,
% 215.15/215.46 (^[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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(35,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[34])).
% 215.15/215.46 tff(36,plain,
% 215.15/215.46 (^[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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))),
% 215.15/215.46 inference(bind,[status(th)],[])).
% 215.15/215.46 tff(37,plain,
% 215.15/215.46 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))),
% 215.15/215.46 inference(quant_intro,[status(thm)],[36])).
% 215.15/215.46 tff(38,plain,
% 215.15/215.46 (^[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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))),
% 215.15/215.47 inference(bind,[status(th)],[])).
% 215.15/215.47 tff(39,plain,
% 215.15/215.47 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))),
% 215.15/215.47 inference(quant_intro,[status(thm)],[38])).
% 215.15/215.47 tff(40,plain,
% 215.15/215.47 ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(41,plain,
% 215.15/215.47 ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(42,plain,
% 215.15/215.47 ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(43,plain,
% 215.15/215.47 ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(44,plain,
% 215.15/215.47 ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(45,plain,
% 215.15/215.47 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(46,plain,
% 215.15/215.47 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(47,plain,
% 215.15/215.47 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(48,plain,
% 215.15/215.47 ((r1(X!18, Y!19) & (r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(49,plain,
% 215.15/215.47 ((r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(50,plain,
% 215.15/215.47 ((r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))) <=> (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(51,plain,
% 215.15/215.47 ((r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) <=> (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))))),
% 215.15/215.47 inference(rewrite,[status(thm)],[])).
% 215.15/215.47 tff(52,plain,
% 215.15/215.47 ((r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))) <=> (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(monotonicity,[status(thm)],[51])).
% 215.15/215.47 tff(53,plain,
% 215.15/215.47 ((r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))) <=> (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.47 inference(transitivity,[status(thm)],[52, 50])).
% 215.15/215.47 tff(54,plain,
% 215.15/215.47 ((r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.47 inference(monotonicity,[status(thm)],[53])).
% 215.15/215.47 tff(55,plain,
% 215.15/215.47 ((r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))) <=> (r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[54, 49])).
% 215.15/215.48 tff(56,plain,
% 215.15/215.48 ((r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))) <=> (r1(X!18, Y!19) & (r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[55])).
% 215.15/215.48 tff(57,plain,
% 215.15/215.48 ((r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))) <=> (r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[56, 48])).
% 215.15/215.48 tff(58,plain,
% 215.15/215.48 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))) <=> (r1(Y!17, X!18) & (r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[57])).
% 215.15/215.48 tff(59,plain,
% 215.15/215.48 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))) <=> (r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[58, 47])).
% 215.15/215.48 tff(60,plain,
% 215.15/215.48 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))) <=> (r1(X!16, Y!17) & (r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[59])).
% 215.15/215.48 tff(61,plain,
% 215.15/215.48 ((r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))) <=> (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[60, 46])).
% 215.15/215.48 tff(62,plain,
% 215.15/215.48 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))) <=> (r1(Y!15, X!16) & (r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[61])).
% 215.15/215.48 tff(63,plain,
% 215.15/215.48 ((r1(Y!15, X!16) & (r1(X!16, Y!17) & (r1(Y!17, X!18) & (r1(X!18, Y!19) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))) <=> (r1(Y!15, X!16) & r1(X!16, Y!17) & r1(Y!17, X!18) & r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[62, 45])).
% 215.15/215.48 tff(64,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[63])).
% 215.15/215.48 tff(65,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[64, 44])).
% 215.15/215.48 tff(66,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[65])).
% 215.15/215.48 tff(67,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[66, 43])).
% 215.15/215.48 tff(68,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[67])).
% 215.15/215.48 tff(69,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.48 inference(transitivity,[status(thm)],[68, 42])).
% 215.15/215.48 tff(70,plain,
% 215.15/215.48 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.48 inference(monotonicity,[status(thm)],[69])).
% 215.15/215.49 tff(71,plain,
% 215.15/215.49 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.49 inference(transitivity,[status(thm)],[70, 41])).
% 215.15/215.49 tff(72,plain,
% 215.15/215.49 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))),
% 215.15/215.49 inference(monotonicity,[status(thm)],[71])).
% 215.15/215.49 tff(73,plain,
% 215.15/215.49 ((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))))),
% 215.15/215.49 inference(transitivity,[status(thm)],[72, 40])).
% 215.15/215.49 tff(74,plain,
% 215.15/215.49 (((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> ((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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.25/215.50 inference(monotonicity,[status(thm)],[73, 39, 37, 35, 33, 31, 29, 27, 25, 23, 21])).
% 215.25/215.50 tff(75,plain,
% 215.25/215.50 (((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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) <=> (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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.25/215.50 inference(transitivity,[status(thm)],[74, 19])).
% 215.25/215.50 tff(76,plain,
% 215.25/215.50 (^[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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))),
% 215.25/215.50 inference(bind,[status(th)],[])).
% 215.25/215.50 tff(77,plain,
% 215.25/215.50 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))),
% 215.25/215.51 inference(quant_intro,[status(thm)],[76])).
% 215.25/215.51 tff(78,plain,
% 215.25/215.51 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.25/215.51 inference(bind,[status(th)],[])).
% 215.25/215.51 tff(79,plain,
% 215.25/215.51 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.25/215.51 inference(quant_intro,[status(thm)],[78])).
% 215.25/215.51 tff(80,plain,
% 215.25/215.51 (^[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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))),
% 215.25/215.51 inference(bind,[status(th)],[])).
% 215.25/215.51 tff(81,plain,
% 215.25/215.51 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))),
% 215.25/215.51 inference(quant_intro,[status(thm)],[80])).
% 215.25/215.51 tff(82,plain,
% 215.25/215.51 (^[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)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))),
% 215.25/215.51 inference(bind,[status(th)],[])).
% 215.25/215.51 tff(83,plain,
% 215.25/215.51 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))),
% 215.25/215.51 inference(quant_intro,[status(thm)],[82])).
% 215.25/215.51 tff(84,plain,
% 215.25/215.51 (^[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))))),
% 215.25/215.51 inference(bind,[status(th)],[])).
% 215.25/215.51 tff(85,plain,
% 215.25/215.51 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))),
% 215.25/215.51 inference(quant_intro,[status(thm)],[84])).
% 215.25/215.51 tff(86,plain,
% 215.25/215.51 (^[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))),
% 215.25/215.52 inference(bind,[status(th)],[])).
% 215.25/215.52 tff(87,plain,
% 215.25/215.52 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))),
% 215.25/215.52 inference(quant_intro,[status(thm)],[86])).
% 215.25/215.52 tff(88,plain,
% 215.25/215.52 (^[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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))),
% 215.25/215.52 inference(bind,[status(th)],[])).
% 215.25/215.52 tff(89,plain,
% 215.25/215.52 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))),
% 215.25/215.52 inference(quant_intro,[status(thm)],[88])).
% 215.25/215.52 tff(90,plain,
% 215.25/215.52 (^[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))))))),
% 215.25/215.52 inference(bind,[status(th)],[])).
% 215.25/215.52 tff(91,plain,
% 215.25/215.52 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))),
% 215.25/215.52 inference(quant_intro,[status(thm)],[90])).
% 215.25/215.52 tff(92,plain,
% 215.25/215.52 (^[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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))))),
% 215.25/215.52 inference(bind,[status(th)],[])).
% 215.25/215.52 tff(93,plain,
% 215.25/215.52 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))),
% 215.25/215.53 inference(quant_intro,[status(thm)],[92])).
% 215.25/215.53 tff(94,plain,
% 215.25/215.53 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))),
% 215.25/215.54 inference(monotonicity,[status(thm)],[93, 91, 89, 87, 85, 83, 81, 79, 77, 75])).
% 215.25/215.54 tff(95,plain,
% 215.25/215.54 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & (r1(Y!19, X!20) & (r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & (r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~r1(tptp_fun_Y_3(X), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~r1(tptp_fun_X_2(Y), Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) <=> (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 215.25/215.56 inference(transitivity,[status(thm)],[94, 18])).
% 215.25/215.56 tff(96,plain,
% 215.25/215.56 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.25/215.58 inference(rewrite,[status(thm)],[])).
% 215.25/215.58 tff(97,plain,
% 215.25/215.58 ((~(~?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.35/215.60 inference(rewrite,[status(thm)],[])).
% 215.35/215.60 tff(98,plain,
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((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ![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)) | ![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)) | ![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)) | ((((((![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))))))))))))))))) | (~(((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 215.35/215.62 inference(rewrite,[status(thm)],[])).
% 215.35/215.62 tff(99,plain,
% 215.35/215.62 ((~(~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ![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)) | ![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)) | ![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)) | ((((((![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))))))))))))))))) | (~(((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 215.35/215.64 inference(monotonicity,[status(thm)],[98])).
% 215.35/215.64 tff(100,plain,
% 215.35/215.64 ((~(~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ![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)) | ![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)) | ![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)) | ((((((![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))))))))))))))))) | (~(((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.35/215.66 inference(transitivity,[status(thm)],[99, 97])).
% 215.35/215.66 tff(101,axiom,(~(~?[X: $i] : (~((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((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)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ![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)) | ![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)) | ![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)) | 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((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((((((![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))) | (~![X: $i] : ((((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))) | (~(![X: $i] : ((~r1(Y, X)) | p1(X)) | (~p1(Y))))))))) & ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) & (![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X)))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))))))))))))))))) | (~(((((((((((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y)))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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)) | (((p1(X) | ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : ((~r1(Y, X)) | p1(X))))) | (~![Y: $i] : (((~r1(X, Y)) | p1(Y)) | (~![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y))) | (~p1(X))))))) & ![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | p1(Y)))) | (~![X: $i] : ((~r1(Y, X)) | p1(X)))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))) | (~![X: $i] : (((~r1(Y, X)) | p1(X)) | (~![Y: $i] : (((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X))) | (~p1(Y))))))) & ![X: $i] : (((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | p1(X)))) | (~![Y: $i] : ((~r1(X, Y)) | p1(Y))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | (((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/sandbox2/benchmark/theBenchmark.p','main')).
% 215.35/215.66 tff(102,plain,
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![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.35/215.67 inference(modus_ponens,[status(thm)],[101, 100])).
% 215.35/215.67 tff(103,plain,
% 215.35/215.67 (?[X: $i] : (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![Y: $i] : ((~r1(X, Y)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(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] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~![X: $i] : ((~r1(Y, X)) | (~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)))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & ((~![X: $i] : (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)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))))) | (~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~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)) | (~![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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))))))))))))))))) | (~((~![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![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] : (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)) | (~![X: $i] : (p1(X) | (~r1(Y, X)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![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)) | (~![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)) | (~![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(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)))))) & ![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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y))))) | (~![X: $i] : (p1(X) | (~r1(Y, X)) | (~![Y: $i] : ((~r1(X, Y)) | (~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))) & ![X: $i] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~r1(X, Y)))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 215.35/215.68 inference(modus_ponens,[status(thm)],[102, 96])).
% 215.35/215.68 tff(104,plain,
% 215.35/215.68 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(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) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, 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) & r1(Y!19, X!20) & r1(X!20, Y!21) & (~(p1(X!22) | (~r1(Y!21, X!22)))) & r1(Y!21, X!23) & ![Y: $i] : (p1(Y) | (~r1(X!23, Y))) & ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(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) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ((p1(X) | ((~p1(tptp_fun_Y_3(X))) & r1(X, tptp_fun_Y_3(X)) & ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_3(X), X)))) | ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))) & ![Y: $i] : ((~r1(X, Y)) | (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))) & ![Y: $i] : ((~r1(X!0, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 215.35/215.69 inference(modus_ponens,[status(thm)],[103, 95])).
% 215.35/215.69 tff(105,plain,
% 215.35/215.69 (r1(X!0, Y!11)),
% 215.35/215.69 inference(and_elim,[status(thm)],[104])).
% 215.35/215.69 tff(106,plain,
% 215.35/215.69 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))))),
% 215.35/215.69 inference(bind,[status(th)],[])).
% 215.35/215.69 tff(107,plain,
% 215.35/215.69 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.35/215.69 inference(quant_intro,[status(thm)],[106])).
% 215.35/215.69 tff(108,plain,
% 215.35/215.69 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))))),
% 215.35/215.69 inference(bind,[status(th)],[])).
% 215.35/215.69 tff(109,plain,
% 215.35/215.69 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.35/215.70 inference(quant_intro,[status(thm)],[108])).
% 215.35/215.70 tff(110,plain,
% 215.35/215.70 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))))),
% 215.46/215.70 inference(bind,[status(th)],[])).
% 215.46/215.70 tff(111,plain,
% 215.46/215.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.70 inference(quant_intro,[status(thm)],[110])).
% 215.46/215.70 tff(112,plain,
% 215.46/215.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.70 inference(transitivity,[status(thm)],[111, 109])).
% 215.46/215.70 tff(113,plain,
% 215.46/215.70 (^[Y: $i] : rewrite(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))))),
% 215.46/215.70 inference(bind,[status(th)],[])).
% 215.46/215.70 tff(114,plain,
% 215.46/215.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) <=> ![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.70 inference(quant_intro,[status(thm)],[113])).
% 215.46/215.70 tff(115,plain,
% 215.46/215.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (r1(Y, tptp_fun_X_7(Y)) & p1(tptp_fun_X_7(Y)) & (~(p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))))) & ![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (p1(Y) & (~(p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | ((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y))))) & ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) & (((~p1(tptp_fun_X_2(Y))) & r1(Y, tptp_fun_X_2(Y)) & ![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (r1(Y, tptp_fun_X_9(Y)) & p1(tptp_fun_X_9(Y)) & (~(p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.46/215.70 inference(and_elim,[status(thm)],[104])).
% 215.46/215.70 tff(116,plain,
% 215.46/215.70 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.71 inference(modus_ponens,[status(thm)],[115, 114])).
% 215.46/215.71 tff(117,plain,
% 215.46/215.71 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))))) | (~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : (![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))) | (~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | (~r1(tptp_fun_X_2(Y), Y)))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.71 inference(modus_ponens,[status(thm)],[116, 112])).
% 215.46/215.71 tff(118,plain,
% 215.46/215.71 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.71 inference(modus_ponens,[status(thm)],[117, 107])).
% 215.46/215.71 tff(119,plain,
% 215.46/215.71 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.71 inference(rewrite,[status(thm)],[])).
% 215.46/215.71 tff(120,plain,
% 215.46/215.71 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))),
% 215.46/215.71 inference(quant_inst,[status(thm)],[])).
% 215.46/215.71 tff(121,plain,
% 215.46/215.71 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.46/215.72 inference(modus_ponens,[status(thm)],[120, 119])).
% 215.46/215.72 tff(122,plain,
% 215.46/215.72 (![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.46/215.72 inference(unit_resolution,[status(thm)],[121, 118, 105])).
% 215.46/215.72 tff(123,plain,
% 215.46/215.72 (r1(Y!11, X!12)),
% 215.46/215.72 inference(and_elim,[status(thm)],[104])).
% 215.46/215.72 tff(124,plain,
% 215.46/215.72 (((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) <=> ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.46/215.72 inference(rewrite,[status(thm)],[])).
% 215.46/215.72 tff(125,plain,
% 215.46/215.72 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))),
% 215.46/215.72 inference(quant_inst,[status(thm)],[])).
% 215.46/215.72 tff(126,plain,
% 215.46/215.72 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))),
% 215.46/215.72 inference(modus_ponens,[status(thm)],[125, 124])).
% 215.46/215.72 tff(127,plain,
% 215.46/215.72 (![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))),
% 215.46/215.72 inference(unit_resolution,[status(thm)],[126, 123, 122])).
% 215.46/215.72 tff(128,plain,
% 215.46/215.72 (r1(X!12, Y!13)),
% 215.46/215.72 inference(and_elim,[status(thm)],[104])).
% 215.46/215.72 tff(129,plain,
% 215.46/215.72 (((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) <=> ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))),
% 215.46/215.73 inference(rewrite,[status(thm)],[])).
% 215.46/215.73 tff(130,plain,
% 215.46/215.73 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))),
% 215.46/215.73 inference(quant_inst,[status(thm)],[])).
% 215.46/215.73 tff(131,plain,
% 215.46/215.73 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))),
% 215.46/215.73 inference(modus_ponens,[status(thm)],[130, 129])).
% 215.46/215.73 tff(132,plain,
% 215.46/215.73 (![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))),
% 215.46/215.73 inference(unit_resolution,[status(thm)],[131, 128, 127])).
% 215.46/215.73 tff(133,plain,
% 215.46/215.73 (r1(Y!13, X!14)),
% 215.46/215.73 inference(and_elim,[status(thm)],[104])).
% 215.46/215.73 tff(134,plain,
% 215.46/215.73 (((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))) <=> ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))),
% 215.46/215.73 inference(rewrite,[status(thm)],[])).
% 215.46/215.73 tff(135,plain,
% 215.46/215.73 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))),
% 215.46/215.73 inference(quant_inst,[status(thm)],[])).
% 215.46/215.73 tff(136,plain,
% 215.46/215.73 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))),
% 215.46/215.74 inference(modus_ponens,[status(thm)],[135, 134])).
% 215.46/215.74 tff(137,plain,
% 215.46/215.74 (![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))),
% 215.46/215.74 inference(unit_resolution,[status(thm)],[136, 133, 132])).
% 215.46/215.74 tff(138,plain,
% 215.46/215.74 (r1(X!14, Y!15)),
% 215.46/215.74 inference(and_elim,[status(thm)],[104])).
% 215.46/215.74 tff(139,plain,
% 215.46/215.74 (((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))) <=> ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))),
% 215.46/215.74 inference(rewrite,[status(thm)],[])).
% 215.46/215.74 tff(140,plain,
% 215.46/215.74 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))) | ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))),
% 215.46/215.74 inference(quant_inst,[status(thm)],[])).
% 215.46/215.74 tff(141,plain,
% 215.46/215.74 ((~![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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))))) | (~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))),
% 215.46/215.74 inference(modus_ponens,[status(thm)],[140, 139])).
% 215.46/215.74 tff(142,plain,
% 215.46/215.74 (![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))),
% 215.46/215.74 inference(unit_resolution,[status(thm)],[141, 138, 137])).
% 215.46/215.74 tff(143,plain,
% 215.46/215.74 (r1(Y!15, X!16)),
% 215.46/215.74 inference(and_elim,[status(thm)],[104])).
% 215.46/215.74 tff(144,plain,
% 215.46/215.74 (((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))),
% 215.46/215.75 inference(rewrite,[status(thm)],[])).
% 215.46/215.75 tff(145,plain,
% 215.46/215.75 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))) | ((~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))),
% 215.46/215.75 inference(quant_inst,[status(thm)],[])).
% 215.46/215.75 tff(146,plain,
% 215.46/215.75 ((~![X: $i] : ((~r1(Y!15, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))))) | (~r1(Y!15, X!16)) | ![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))),
% 215.46/215.75 inference(modus_ponens,[status(thm)],[145, 144])).
% 215.46/215.75 tff(147,plain,
% 215.46/215.75 (![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))),
% 215.46/215.75 inference(unit_resolution,[status(thm)],[146, 143, 142])).
% 215.46/215.75 tff(148,plain,
% 215.46/215.75 (r1(X!16, Y!17)),
% 215.46/215.75 inference(and_elim,[status(thm)],[104])).
% 215.46/215.75 tff(149,plain,
% 215.46/215.75 (((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))),
% 215.46/215.75 inference(rewrite,[status(thm)],[])).
% 215.46/215.75 tff(150,plain,
% 215.46/215.75 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))) | ((~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))),
% 215.46/215.75 inference(quant_inst,[status(thm)],[])).
% 215.46/215.75 tff(151,plain,
% 215.46/215.75 ((~![Y: $i] : ((~r1(X!16, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))))) | (~r1(X!16, Y!17)) | ![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))),
% 215.46/215.75 inference(modus_ponens,[status(thm)],[150, 149])).
% 215.46/215.75 tff(152,plain,
% 215.46/215.75 (![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))),
% 215.46/215.75 inference(unit_resolution,[status(thm)],[151, 148, 147])).
% 215.46/215.75 tff(153,plain,
% 215.46/215.75 (r1(Y!17, X!18)),
% 215.46/215.75 inference(and_elim,[status(thm)],[104])).
% 215.46/215.75 tff(154,plain,
% 215.46/215.75 (((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))) | ((~r1(Y!17, X!18)) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))) | (~r1(Y!17, X!18)) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))),
% 215.46/215.76 inference(rewrite,[status(thm)],[])).
% 215.46/215.76 tff(155,plain,
% 215.46/215.76 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))) | ((~r1(Y!17, X!18)) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))),
% 215.46/215.76 inference(quant_inst,[status(thm)],[])).
% 215.46/215.76 tff(156,plain,
% 215.46/215.76 ((~![X: $i] : ((~r1(Y!17, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))))) | (~r1(Y!17, X!18)) | ![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))),
% 215.46/215.76 inference(modus_ponens,[status(thm)],[155, 154])).
% 215.46/215.76 tff(157,plain,
% 215.46/215.76 (![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))),
% 215.46/215.76 inference(unit_resolution,[status(thm)],[156, 153, 152])).
% 215.46/215.76 tff(158,plain,
% 215.46/215.76 (r1(X!18, Y!19)),
% 215.46/215.76 inference(and_elim,[status(thm)],[104])).
% 215.46/215.76 tff(159,plain,
% 215.46/215.76 (((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))) | ((~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))) | (~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))),
% 215.46/215.76 inference(rewrite,[status(thm)],[])).
% 215.46/215.76 tff(160,plain,
% 215.46/215.76 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))) | ((~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))),
% 215.46/215.76 inference(quant_inst,[status(thm)],[])).
% 215.46/215.76 tff(161,plain,
% 215.46/215.76 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))))) | (~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))),
% 215.46/215.77 inference(modus_ponens,[status(thm)],[160, 159])).
% 215.46/215.77 tff(162,plain,
% 215.46/215.77 (![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))),
% 215.46/215.77 inference(unit_resolution,[status(thm)],[161, 158, 157])).
% 215.46/215.77 tff(163,plain,
% 215.46/215.77 (r1(Y!19, X!20)),
% 215.46/215.77 inference(and_elim,[status(thm)],[104])).
% 215.46/215.77 tff(164,plain,
% 215.46/215.77 (((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))) | ((~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))) | (~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))),
% 215.46/215.77 inference(rewrite,[status(thm)],[])).
% 215.46/215.77 tff(165,plain,
% 215.46/215.77 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))) | ((~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))),
% 215.46/215.77 inference(quant_inst,[status(thm)],[])).
% 215.46/215.77 tff(166,plain,
% 215.46/215.77 ((~![X: $i] : ((~r1(Y!19, X)) | ![Y: $i] : ((~r1(X, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))))) | (~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))),
% 215.46/215.77 inference(modus_ponens,[status(thm)],[165, 164])).
% 215.46/215.77 tff(167,plain,
% 215.46/215.77 (![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))),
% 215.46/215.77 inference(unit_resolution,[status(thm)],[166, 163, 162])).
% 215.46/215.77 tff(168,plain,
% 215.46/215.77 (r1(X!20, Y!21)),
% 215.46/215.77 inference(and_elim,[status(thm)],[104])).
% 215.46/215.77 tff(169,plain,
% 215.46/215.77 (((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | ((~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))))))) <=> ((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | (~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))))))),
% 215.46/215.78 inference(rewrite,[status(thm)],[])).
% 215.46/215.78 tff(170,plain,
% 215.46/215.78 (((~r1(X!20, Y!21)) | (~((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))))))) <=> ((~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))))))),
% 215.46/215.78 inference(rewrite,[status(thm)],[])).
% 215.46/215.78 tff(171,plain,
% 215.46/215.78 (((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | ((~r1(X!20, Y!21)) | (~((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | ((~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))))))),
% 215.46/215.78 inference(monotonicity,[status(thm)],[170])).
% 215.46/215.78 tff(172,plain,
% 215.46/215.78 (((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | ((~r1(X!20, Y!21)) | (~((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) <=> ((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | (~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))))))),
% 215.46/215.78 inference(transitivity,[status(thm)],[171, 169])).
% 215.46/215.78 tff(173,plain,
% 215.46/215.78 ((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | ((~r1(X!20, Y!21)) | (~((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))),
% 215.46/215.78 inference(quant_inst,[status(thm)],[])).
% 215.46/215.78 tff(174,plain,
% 215.46/215.78 ((~![Y: $i] : ((~r1(X!20, Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | (~((~p1(Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))) | ![X: $i] : ((~r1(Y, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~((~p1(tptp_fun_X_7(Y))) | (~r1(Y, tptp_fun_X_7(Y))) | p1(tptp_fun_Y_8(Y)) | (~r1(tptp_fun_X_7(Y), tptp_fun_Y_8(Y))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~((~(p1(tptp_fun_X_2(Y)) | (~r1(Y, tptp_fun_X_2(Y))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))))))) | (~r1(X!20, Y!21)) | (~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))))),
% 215.46/215.78 inference(modus_ponens,[status(thm)],[173, 172])).
% 215.46/215.78 tff(175,plain,
% 215.46/215.78 ($false),
% 215.46/215.78 inference(unit_resolution,[status(thm)],[174, 168, 167, 17])).
% 215.46/215.78 tff(176,plain,(~((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.78 tff(177,plain,
% 215.46/215.78 (((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(178,plain,
% 215.46/215.79 (![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[177, 176])).
% 215.46/215.79 tff(179,assumption,(![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), introduced(assumption)).
% 215.46/215.79 tff(180,assumption,(~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 215.46/215.79 tff(181,assumption,(~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))), introduced(assumption)).
% 215.46/215.79 tff(182,plain,
% 215.46/215.79 ((p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23)))) | r1(X!23, tptp_fun_Y_1(X!23))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(183,plain,
% 215.46/215.79 (r1(X!23, tptp_fun_Y_1(X!23))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[182, 181])).
% 215.46/215.79 tff(184,plain,
% 215.46/215.79 ((p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23)))) | (~p1(tptp_fun_Y_1(X!23)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(185,plain,
% 215.46/215.79 (~p1(tptp_fun_Y_1(X!23))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[184, 181])).
% 215.46/215.79 tff(186,plain,
% 215.46/215.79 (^[Y: $i] : refl((p1(Y) | (~r1(X!23, Y))) <=> (p1(Y) | (~r1(X!23, Y))))),
% 215.46/215.79 inference(bind,[status(th)],[])).
% 215.46/215.79 tff(187,plain,
% 215.46/215.79 (![Y: $i] : (p1(Y) | (~r1(X!23, Y))) <=> ![Y: $i] : (p1(Y) | (~r1(X!23, Y)))),
% 215.46/215.79 inference(quant_intro,[status(thm)],[186])).
% 215.46/215.79 tff(188,plain,
% 215.46/215.79 (![Y: $i] : (p1(Y) | (~r1(X!23, Y)))),
% 215.46/215.79 inference(and_elim,[status(thm)],[104])).
% 215.46/215.79 tff(189,plain,
% 215.46/215.79 (![Y: $i] : (p1(Y) | (~r1(X!23, Y)))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[188, 187])).
% 215.46/215.79 tff(190,plain,
% 215.46/215.79 (((~![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) | (p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) | p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(191,plain,
% 215.46/215.79 ((~![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) | (p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(192,plain,
% 215.46/215.79 ((~![Y: $i] : (p1(Y) | (~r1(X!23, Y)))) | p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23)))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[191, 190])).
% 215.46/215.79 tff(193,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[192, 189, 185, 183])).
% 215.46/215.79 tff(194,plain,(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23)))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(195,plain,
% 215.46/215.79 (r1(Y!21, X!23)),
% 215.46/215.79 inference(and_elim,[status(thm)],[104])).
% 215.46/215.79 tff(196,plain,
% 215.46/215.79 (((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))) | ![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) <=> ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))) | ![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(197,plain,
% 215.46/215.79 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ((~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))) | ![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(198,plain,
% 215.46/215.79 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))) | ![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[197, 196])).
% 215.46/215.79 tff(199,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[198, 195, 194, 180, 179])).
% 215.46/215.79 tff(200,plain,((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(201,plain,
% 215.46/215.79 (![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[200, 178])).
% 215.46/215.79 tff(202,assumption,(![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 215.46/215.79 tff(203,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))), introduced(assumption)).
% 215.46/215.79 tff(204,assumption,(r1(X!23, tptp_fun_Y_5(X!23))), introduced(assumption)).
% 215.46/215.79 tff(205,plain,
% 215.46/215.79 (((~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X))))) <=> ((~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(206,plain,
% 215.46/215.79 ((~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(207,plain,
% 215.46/215.79 ((~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[206, 205])).
% 215.46/215.79 tff(208,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[207, 204, 203, 202])).
% 215.46/215.79 tff(209,plain,((~![Y: $i] : ((~r1(X!23, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(210,plain,
% 215.46/215.79 ((~r1(X!23, tptp_fun_Y_5(X!23))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[209, 201])).
% 215.46/215.79 tff(211,plain,
% 215.46/215.79 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[210, 16])).
% 215.46/215.79 tff(212,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))) | r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(213,plain,
% 215.46/215.79 (r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[212, 14])).
% 215.46/215.79 tff(214,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))) | (~p1(tptp_fun_X_6(X!23)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(215,plain,
% 215.46/215.79 (~p1(tptp_fun_X_6(X!23))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[214, 14])).
% 215.46/215.79 tff(216,plain,
% 215.46/215.79 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))) | (p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(217,plain,
% 215.46/215.79 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))) | (p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(218,plain,
% 215.46/215.79 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!23), X)))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[217, 216])).
% 215.46/215.79 tff(219,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[218, 215, 213, 211])).
% 215.46/215.79 tff(220,plain,((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(221,assumption,(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))), introduced(assumption)).
% 215.46/215.79 tff(222,assumption,((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))), introduced(assumption)).
% 215.46/215.79 tff(223,plain,
% 215.46/215.79 (((~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | ((~r1(Y!21, X!23)) | (~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))))) <=> ((~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (~r1(Y!21, X!23)) | (~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(224,plain,
% 215.46/215.79 ((~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | ((~r1(Y!21, X!23)) | (~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23))))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(225,plain,
% 215.46/215.79 ((~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (~r1(Y!21, X!23)) | (~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[224, 223])).
% 215.46/215.79 tff(226,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[225, 195, 222, 221])).
% 215.46/215.79 tff(227,plain,((~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (~((~p1(tptp_fun_Y_5(X!23))) | (~r1(X!23, tptp_fun_Y_5(X!23))) | p1(tptp_fun_X_6(X!23)) | (~r1(tptp_fun_Y_5(X!23), tptp_fun_X_6(X!23)))))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(228,plain,
% 215.46/215.79 (~![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[227, 220])).
% 215.46/215.79 tff(229,assumption,(~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))), introduced(assumption)).
% 215.46/215.79 tff(230,plain,
% 215.46/215.79 ((p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(231,plain,
% 215.46/215.79 (~p1(tptp_fun_X_2(Y!21))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[230, 229])).
% 215.46/215.79 tff(232,plain,
% 215.46/215.79 ((p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | ![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(233,plain,
% 215.46/215.79 (![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[232, 229])).
% 215.46/215.79 tff(234,assumption,(~((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))), introduced(assumption)).
% 215.46/215.79 tff(235,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))) | r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(236,plain,
% 215.46/215.79 (r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[235, 234])).
% 215.46/215.79 tff(237,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))) | (~p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(238,plain,
% 215.46/215.79 (~p1(tptp_fun_X_6(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[237, 234])).
% 215.46/215.79 tff(239,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))), introduced(assumption)).
% 215.46/215.79 tff(240,assumption,(r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))), introduced(assumption)).
% 215.46/215.79 tff(241,assumption,(~p1(tptp_fun_X_6(tptp_fun_X_2(Y!21)))), introduced(assumption)).
% 215.46/215.79 tff(242,plain,
% 215.46/215.79 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | (p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(243,plain,
% 215.46/215.79 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | (p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(244,plain,
% 215.46/215.79 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[243, 242])).
% 215.46/215.79 tff(245,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[244, 241, 240, 239])).
% 215.46/215.79 tff(246,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(247,plain,
% 215.46/215.79 (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[246, 238, 236])).
% 215.46/215.79 tff(248,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))) | r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(249,plain,
% 215.46/215.79 (r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[248, 234])).
% 215.46/215.79 tff(250,plain,
% 215.46/215.79 (((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))) | p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(251,plain,
% 215.46/215.79 (p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[250, 234])).
% 215.46/215.79 tff(252,assumption,(![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 215.46/215.79 tff(253,plain,
% 215.46/215.79 (((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X))))) <=> ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X))))),
% 215.46/215.79 inference(rewrite,[status(thm)],[])).
% 215.46/215.79 tff(254,plain,
% 215.46/215.79 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X))))),
% 215.46/215.79 inference(quant_inst,[status(thm)],[])).
% 215.46/215.79 tff(255,plain,
% 215.46/215.79 ((~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))),
% 215.46/215.79 inference(modus_ponens,[status(thm)],[254, 253])).
% 215.46/215.79 tff(256,plain,
% 215.46/215.79 ($false),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[255, 252, 251, 249, 247])).
% 215.46/215.79 tff(257,plain,(((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 215.46/215.79 tff(258,plain,
% 215.46/215.79 ((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[257, 233])).
% 215.46/215.79 tff(259,plain,
% 215.46/215.79 ((p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | r1(Y!21, tptp_fun_X_2(Y!21))),
% 215.46/215.79 inference(tautology,[status(thm)],[])).
% 215.46/215.79 tff(260,plain,
% 215.46/215.79 (r1(Y!21, tptp_fun_X_2(Y!21))),
% 215.46/215.79 inference(unit_resolution,[status(thm)],[259, 229])).
% 215.46/215.79 tff(261,assumption,(~p1(tptp_fun_X_2(Y!21))), introduced(assumption)).
% 215.46/215.79 tff(262,plain,
% 215.46/215.79 (^[X: $i] : refl((p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) <=> (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))),
% 215.46/215.80 inference(bind,[status(th)],[])).
% 215.46/215.80 tff(263,plain,
% 215.46/215.80 (![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) <=> ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))),
% 215.46/215.80 inference(quant_intro,[status(thm)],[262])).
% 215.46/215.80 tff(264,plain,
% 215.46/215.80 (^[X: $i] : rewrite((p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) <=> (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))),
% 215.56/215.80 inference(bind,[status(th)],[])).
% 215.56/215.80 tff(265,plain,
% 215.56/215.80 (![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) <=> ![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))),
% 215.56/215.80 inference(quant_intro,[status(thm)],[264])).
% 215.56/215.80 tff(266,plain,
% 215.56/215.80 (![X: $i] : (p1(X) | (~r1(Y!21, X)) | (r1(X, tptp_fun_Y_5(X)) & p1(tptp_fun_Y_5(X)) & (~(p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))))),
% 215.56/215.80 inference(and_elim,[status(thm)],[104])).
% 215.56/215.80 tff(267,plain,
% 215.56/215.80 (![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))),
% 215.56/215.80 inference(modus_ponens,[status(thm)],[266, 265])).
% 215.56/215.80 tff(268,plain,
% 215.56/215.80 (![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))),
% 215.56/215.80 inference(modus_ponens,[status(thm)],[267, 263])).
% 215.56/215.80 tff(269,plain,
% 215.56/215.80 (((~![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))))),
% 215.56/215.80 inference(rewrite,[status(thm)],[])).
% 215.56/215.80 tff(270,plain,
% 215.56/215.80 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))))))),
% 215.56/215.80 inference(quant_inst,[status(thm)],[])).
% 215.56/215.80 tff(271,plain,
% 215.56/215.80 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~((~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))))),
% 215.56/215.80 inference(modus_ponens,[status(thm)],[270, 269])).
% 215.56/215.80 tff(272,plain,
% 215.56/215.80 ($false),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[271, 268, 261, 260, 258])).
% 215.56/215.80 tff(273,plain,((p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | p1(tptp_fun_X_2(Y!21))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.80 tff(274,plain,
% 215.56/215.80 ($false),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[273, 231, 229])).
% 215.56/215.80 tff(275,plain,(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.80 tff(276,plain,
% 215.56/215.80 (((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) | ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(277,plain,
% 215.56/215.80 ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[276, 176])).
% 215.56/215.80 tff(278,assumption,(![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))), introduced(assumption)).
% 215.56/215.80 tff(279,plain,
% 215.56/215.80 (((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))))) <=> ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))))),
% 215.56/215.80 inference(rewrite,[status(thm)],[])).
% 215.56/215.80 tff(280,plain,
% 215.56/215.80 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23))))))),
% 215.56/215.80 inference(quant_inst,[status(thm)],[])).
% 215.56/215.80 tff(281,plain,
% 215.56/215.80 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(Y!21, X!23)) | (~(p1(tptp_fun_Y_1(X!23)) | (~r1(X!23, tptp_fun_Y_1(X!23)))))),
% 215.56/215.80 inference(modus_ponens,[status(thm)],[280, 279])).
% 215.56/215.80 tff(282,plain,
% 215.56/215.80 ($false),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[281, 195, 194, 278])).
% 215.56/215.80 tff(283,plain,(~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.80 tff(284,plain,
% 215.56/215.80 ((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(285,plain,
% 215.56/215.80 ((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21)),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[284, 283])).
% 215.56/215.80 tff(286,plain,
% 215.56/215.80 ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21)),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[285, 277])).
% 215.56/215.80 tff(287,plain,
% 215.56/215.80 (p1(Y!21)),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[286, 275])).
% 215.56/215.80 tff(288,plain,
% 215.56/215.80 (((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) | (![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(289,plain,
% 215.56/215.80 (![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[288, 176])).
% 215.56/215.80 tff(290,assumption,(![X: $i] : (p1(X) | (~r1(Y!21, X)))), introduced(assumption)).
% 215.56/215.80 tff(291,plain,
% 215.56/215.80 (~(p1(X!22) | (~r1(Y!21, X!22)))),
% 215.56/215.80 inference(and_elim,[status(thm)],[104])).
% 215.56/215.80 tff(292,plain,
% 215.56/215.80 (r1(Y!21, X!22)),
% 215.56/215.80 inference(or_elim,[status(thm)],[291])).
% 215.56/215.80 tff(293,plain,
% 215.56/215.80 (~p1(X!22)),
% 215.56/215.80 inference(or_elim,[status(thm)],[291])).
% 215.56/215.80 tff(294,plain,
% 215.56/215.80 (((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | (p1(X!22) | (~r1(Y!21, X!22)))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | p1(X!22) | (~r1(Y!21, X!22)))),
% 215.56/215.80 inference(rewrite,[status(thm)],[])).
% 215.56/215.80 tff(295,plain,
% 215.56/215.80 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | (p1(X!22) | (~r1(Y!21, X!22)))),
% 215.56/215.80 inference(quant_inst,[status(thm)],[])).
% 215.56/215.80 tff(296,plain,
% 215.56/215.80 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | p1(X!22) | (~r1(Y!21, X!22))),
% 215.56/215.80 inference(modus_ponens,[status(thm)],[295, 294])).
% 215.56/215.80 tff(297,plain,
% 215.56/215.80 ($false),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[296, 293, 292, 290])).
% 215.56/215.80 tff(298,plain,(~![X: $i] : (p1(X) | (~r1(Y!21, X)))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.80 tff(299,plain,
% 215.56/215.80 ((~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(300,plain,
% 215.56/215.80 ((~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[299, 298])).
% 215.56/215.80 tff(301,plain,
% 215.56/215.80 (![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[300, 289])).
% 215.56/215.80 tff(302,plain,
% 215.56/215.80 (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[301, 287, 228])).
% 215.56/215.80 tff(303,plain,
% 215.56/215.80 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))) | r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(304,plain,
% 215.56/215.80 (r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[303, 302])).
% 215.56/215.80 tff(305,plain,
% 215.56/215.80 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))) | (~p1(tptp_fun_Y_8(Y!21)))),
% 215.56/215.80 inference(tautology,[status(thm)],[])).
% 215.56/215.80 tff(306,plain,
% 215.56/215.80 (~p1(tptp_fun_Y_8(Y!21))),
% 215.56/215.80 inference(unit_resolution,[status(thm)],[305, 302])).
% 215.56/215.80 tff(307,plain,
% 215.56/215.80 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 215.56/215.81 inference(tautology,[status(thm)],[])).
% 215.56/215.81 tff(308,plain,
% 215.56/215.81 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[307, 302])).
% 215.56/215.81 tff(309,assumption,(![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))), introduced(assumption)).
% 215.56/215.81 tff(310,assumption,(r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))), introduced(assumption)).
% 215.56/215.81 tff(311,assumption,(~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))), introduced(assumption)).
% 215.56/215.81 tff(312,assumption,(~p1(tptp_fun_Y_8(Y!21))), introduced(assumption)).
% 215.56/215.81 tff(313,plain,
% 215.56/215.81 (((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21))))) | p1(tptp_fun_Y_8(Y!21))),
% 215.56/215.81 inference(tautology,[status(thm)],[])).
% 215.56/215.81 tff(314,plain,
% 215.56/215.81 ((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21))))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[313, 312])).
% 215.56/215.81 tff(315,assumption,((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21))))), introduced(assumption)).
% 215.56/215.81 tff(316,plain,
% 215.56/215.81 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(317,plain,
% 215.56/215.81 (((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) <=> ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(318,plain,
% 215.56/215.81 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))))),
% 215.56/215.81 inference(monotonicity,[status(thm)],[317])).
% 215.56/215.81 tff(319,plain,
% 215.56/215.81 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X))))),
% 215.56/215.81 inference(transitivity,[status(thm)],[318, 316])).
% 215.56/215.81 tff(320,plain,
% 215.56/215.81 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 215.56/215.81 inference(quant_inst,[status(thm)],[])).
% 215.56/215.81 tff(321,plain,
% 215.56/215.81 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 215.56/215.81 inference(modus_ponens,[status(thm)],[320, 319])).
% 215.56/215.81 tff(322,plain,
% 215.56/215.81 ($false),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[321, 309, 310, 311, 315])).
% 215.56/215.81 tff(323,plain,((~((~p1(tptp_fun_Y_8(Y!21))) | p1(tptp_fun_X_4(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_4(tptp_fun_Y_8(Y!21)))))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.81 tff(324,plain,
% 215.56/215.81 ($false),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[323, 314, 311, 310, 309])).
% 215.56/215.81 tff(325,plain,(![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | p1(tptp_fun_Y_8(Y!21))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.81 tff(326,plain,
% 215.56/215.81 (![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[325, 308, 306, 304])).
% 215.56/215.81 tff(327,plain,
% 215.56/215.81 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(328,plain,
% 215.56/215.81 (((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21))))) <=> ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(329,plain,
% 215.56/215.81 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))))),
% 215.56/215.81 inference(monotonicity,[status(thm)],[328])).
% 215.56/215.81 tff(330,plain,
% 215.56/215.81 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))))),
% 215.56/215.81 inference(transitivity,[status(thm)],[329, 327])).
% 215.56/215.81 tff(331,plain,
% 215.56/215.81 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))),
% 215.56/215.81 inference(quant_inst,[status(thm)],[])).
% 215.56/215.81 tff(332,plain,
% 215.56/215.81 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))),
% 215.56/215.81 inference(modus_ponens,[status(thm)],[331, 330])).
% 215.56/215.81 tff(333,plain,
% 215.56/215.81 ($false),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[332, 326, 13, 12, 11])).
% 215.56/215.81 tff(334,plain,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.81 tff(335,plain,
% 215.56/215.81 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[334, 10, 8])).
% 215.56/215.81 tff(336,plain,
% 215.56/215.81 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | (p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(337,plain,
% 215.56/215.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | (p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))),
% 215.56/215.81 inference(quant_inst,[status(thm)],[])).
% 215.56/215.81 tff(338,plain,
% 215.56/215.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))),
% 215.56/215.81 inference(modus_ponens,[status(thm)],[337, 336])).
% 215.56/215.81 tff(339,plain,
% 215.56/215.81 ($false),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[338, 335, 6, 4])).
% 215.56/215.81 tff(340,plain,((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.81 tff(341,plain,
% 215.56/215.81 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(342,plain,
% 215.56/215.81 ((p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))))) <=> (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))))),
% 215.56/215.81 inference(rewrite,[status(thm)],[])).
% 215.56/215.81 tff(343,plain,
% 215.56/215.81 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))))),
% 215.56/215.81 inference(monotonicity,[status(thm)],[342])).
% 215.56/215.81 tff(344,plain,
% 215.56/215.81 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))))))),
% 215.56/215.81 inference(transitivity,[status(thm)],[343, 341])).
% 215.56/215.81 tff(345,plain,
% 215.56/215.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))))),
% 215.56/215.81 inference(quant_inst,[status(thm)],[])).
% 215.56/215.81 tff(346,plain,
% 215.56/215.81 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))),
% 215.56/215.81 inference(modus_ponens,[status(thm)],[345, 344])).
% 215.56/215.81 tff(347,plain,
% 215.56/215.81 ($false),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[346, 304, 306, 340, 1])).
% 215.56/215.81 tff(348,plain,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))), inference(lemma,lemma(discharge,[]))).
% 215.56/215.81 tff(349,plain,
% 215.56/215.81 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))) | r1(Y!21, tptp_fun_X_7(Y!21))),
% 215.56/215.81 inference(tautology,[status(thm)],[])).
% 215.56/215.81 tff(350,plain,
% 215.56/215.81 (r1(Y!21, tptp_fun_X_7(Y!21))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[349, 302])).
% 215.56/215.81 tff(351,plain,
% 215.56/215.81 (((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~(![X: $i] : ((~r1(Y!21, X)) | (~((~p1(tptp_fun_Y_5(X))) | (~r1(X, tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X)))))) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | (~p1(Y!21)) | (~((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(Y)) | p1(tptp_fun_X_4(Y)) | (~r1(Y, tptp_fun_X_4(Y))))) | ![X: $i] : ((~r1(Y, X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | p1(tptp_fun_Y_8(Y!21)) | (~p1(tptp_fun_X_7(Y!21))) | (~r1(Y!21, tptp_fun_X_7(Y!21))))))) | (~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | p1(Y!21) | ![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))))) | ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))),
% 215.56/215.81 inference(tautology,[status(thm)],[])).
% 215.56/215.81 tff(352,plain,
% 215.56/215.81 ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.81 inference(unit_resolution,[status(thm)],[351, 176])).
% 215.56/215.81 tff(353,plain,
% 215.56/215.81 ((~((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))))) | (~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.87 inference(tautology,[status(thm)],[])).
% 215.56/215.87 tff(354,plain,
% 215.56/215.87 ((~(p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))) | ![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.87 inference(unit_resolution,[status(thm)],[353, 352])).
% 215.56/215.87 tff(355,plain,
% 215.56/215.87 (![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.87 inference(unit_resolution,[status(thm)],[354, 275])).
% 215.56/215.87 tff(356,plain,
% 215.56/215.87 (((~![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))) | ((~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))) <=> ((~![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.87 inference(rewrite,[status(thm)],[])).
% 215.56/215.87 tff(357,plain,
% 215.56/215.87 ((~![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))) | ((~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))),
% 215.56/215.87 inference(quant_inst,[status(thm)],[])).
% 215.56/215.87 tff(358,plain,
% 215.56/215.87 ((~![X: $i] : ((~r1(Y!21, X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y)))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~p1(tptp_fun_X_9(Y))) | (~r1(Y, tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))),
% 215.56/215.87 inference(modus_ponens,[status(thm)],[357, 356])).
% 215.56/215.87 tff(359,plain,
% 215.56/215.87 ($false),
% 215.56/215.87 inference(unit_resolution,[status(thm)],[358, 355, 350, 348])).
% 215.56/215.87 % SZS output end Proof
% 0.21/215.92 % E exiting
%------------------------------------------------------------------------------