TSTP Solution File: LCL640+1.020 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL640+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 04:56:54 EDT 2022
% Result : Theorem 140.81s 90.88s
% Output : Proof 141.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL640+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Sep 1 22:40:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 140.81/90.88 % SZS status Theorem
% 140.81/90.88 % SZS output start Proof
% 140.81/90.88 tff(r1_type, type, (
% 140.81/90.88 r1: ( $i * $i ) > $o)).
% 140.81/90.88 tff(tptp_fun_Y_8_type, type, (
% 140.81/90.88 tptp_fun_Y_8: $i > $i)).
% 140.81/90.88 tff(tptp_fun_Y_21_type, type, (
% 140.81/90.88 tptp_fun_Y_21: $i)).
% 140.81/90.88 tff(p1_type, type, (
% 140.81/90.88 p1: $i > $o)).
% 140.81/90.88 tff(tptp_fun_X_7_type, type, (
% 140.81/90.88 tptp_fun_X_7: $i > $i)).
% 140.81/90.88 tff(tptp_fun_Y_1_type, type, (
% 140.81/90.88 tptp_fun_Y_1: $i > $i)).
% 140.81/90.88 tff(tptp_fun_Y_10_type, type, (
% 140.81/90.88 tptp_fun_Y_10: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_9_type, type, (
% 140.81/90.88 tptp_fun_X_9: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_4_type, type, (
% 140.81/90.88 tptp_fun_X_4: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_6_type, type, (
% 140.81/90.88 tptp_fun_X_6: $i > $i)).
% 140.81/90.88 tff(tptp_fun_Y_5_type, type, (
% 140.81/90.88 tptp_fun_Y_5: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_22_type, type, (
% 140.81/90.88 tptp_fun_X_22: $i)).
% 140.81/90.88 tff(tptp_fun_X_2_type, type, (
% 140.81/90.88 tptp_fun_X_2: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_20_type, type, (
% 140.81/90.88 tptp_fun_X_20: $i)).
% 140.81/90.88 tff(tptp_fun_Y_19_type, type, (
% 140.81/90.88 tptp_fun_Y_19: $i)).
% 140.81/90.88 tff(tptp_fun_X_18_type, type, (
% 140.81/90.88 tptp_fun_X_18: $i)).
% 140.81/90.88 tff(tptp_fun_Y_17_type, type, (
% 140.81/90.88 tptp_fun_Y_17: $i)).
% 140.81/90.88 tff(tptp_fun_X_16_type, type, (
% 140.81/90.88 tptp_fun_X_16: $i)).
% 140.81/90.88 tff(tptp_fun_Y_15_type, type, (
% 140.81/90.88 tptp_fun_Y_15: $i)).
% 140.81/90.88 tff(tptp_fun_X_14_type, type, (
% 140.81/90.88 tptp_fun_X_14: $i)).
% 140.81/90.88 tff(tptp_fun_Y_13_type, type, (
% 140.81/90.88 tptp_fun_Y_13: $i)).
% 140.81/90.88 tff(tptp_fun_X_12_type, type, (
% 140.81/90.88 tptp_fun_X_12: $i)).
% 140.81/90.88 tff(tptp_fun_Y_11_type, type, (
% 140.81/90.88 tptp_fun_Y_11: $i)).
% 140.81/90.88 tff(tptp_fun_X_0_type, type, (
% 140.81/90.88 tptp_fun_X_0: $i)).
% 140.81/90.88 tff(tptp_fun_Y_3_type, type, (
% 140.81/90.88 tptp_fun_Y_3: $i > $i)).
% 140.81/90.88 tff(tptp_fun_X_23_type, type, (
% 140.81/90.88 tptp_fun_X_23: $i)).
% 140.81/90.88 tff(1,assumption,(~(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))), introduced(assumption)).
% 140.81/90.88 tff(2,plain,
% 140.81/90.88 ((p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(3,plain,
% 140.81/90.88 (~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[2, 1])).
% 140.81/90.88 tff(4,plain,
% 140.81/90.88 ((p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(5,plain,
% 140.81/90.88 (r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[4, 1])).
% 140.81/90.88 tff(6,assumption,(~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))), introduced(assumption)).
% 140.81/90.88 tff(7,plain,
% 140.81/90.88 (((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(8,plain,
% 140.81/90.88 ((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[7, 6])).
% 140.81/90.88 tff(9,assumption,(r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))), introduced(assumption)).
% 140.81/90.88 tff(10,assumption,(~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))), introduced(assumption)).
% 140.81/90.88 tff(11,plain,
% 140.81/90.88 (((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))) | (~p1(tptp_fun_X_6(X!22)))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(12,plain,
% 140.81/90.88 (~p1(tptp_fun_X_6(X!22))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[11, 10])).
% 140.81/90.88 tff(13,plain,
% 140.81/90.88 (((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))) | r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(14,plain,
% 140.81/90.88 (r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[13, 10])).
% 140.81/90.88 tff(15,plain,
% 140.81/90.88 (((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))) | r1(X!22, tptp_fun_Y_5(X!22))),
% 140.81/90.88 inference(tautology,[status(thm)],[])).
% 140.81/90.88 tff(16,plain,
% 140.81/90.88 (r1(X!22, tptp_fun_Y_5(X!22))),
% 140.81/90.88 inference(unit_resolution,[status(thm)],[15, 10])).
% 140.81/90.88 tff(17,assumption,(~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 140.81/90.88 tff(18,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)))))) | (~(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))))))), introduced(assumption)).
% 140.81/90.88 tff(19,plain,
% 140.81/90.88 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.89 inference(rewrite,[status(thm)],[])).
% 140.81/90.89 tff(20,plain,
% 140.81/90.89 (((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.89 inference(rewrite,[status(thm)],[])).
% 140.81/90.89 tff(21,plain,
% 140.81/90.89 (^[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))))))))),
% 140.81/90.89 inference(bind,[status(th)],[])).
% 140.81/90.89 tff(22,plain,
% 140.81/90.89 (![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)))))))),
% 140.81/90.89 inference(quant_intro,[status(thm)],[21])).
% 140.81/90.89 tff(23,plain,
% 140.81/90.89 (^[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)))))))))),
% 140.81/90.89 inference(bind,[status(th)],[])).
% 140.81/90.89 tff(24,plain,
% 140.81/90.89 (![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))))))))),
% 140.81/90.89 inference(quant_intro,[status(thm)],[23])).
% 140.81/90.89 tff(25,plain,
% 140.81/90.89 (^[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))))))))))),
% 140.81/90.89 inference(bind,[status(th)],[])).
% 140.81/90.89 tff(26,plain,
% 140.81/90.89 (![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)))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[25])).
% 140.81/90.90 tff(27,plain,
% 140.81/90.90 (^[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)))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(28,plain,
% 140.81/90.90 (![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))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[27])).
% 140.81/90.90 tff(29,plain,
% 140.81/90.90 (^[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))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(30,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[29])).
% 140.81/90.90 tff(31,plain,
% 140.81/90.90 (^[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)))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(32,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((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))))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[31])).
% 140.81/90.90 tff(33,plain,
% 140.81/90.90 (^[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))))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(34,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[33])).
% 140.81/90.90 tff(35,plain,
% 140.81/90.90 (^[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)))))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(36,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((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))))))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[35])).
% 140.81/90.90 tff(37,plain,
% 140.81/90.90 (^[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))))))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(38,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[37])).
% 140.81/90.90 tff(39,plain,
% 140.81/90.90 (^[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)))))))))))))))))),
% 140.81/90.90 inference(bind,[status(th)],[])).
% 140.81/90.90 tff(40,plain,
% 140.81/90.90 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ((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))))))))))))))))),
% 140.81/90.90 inference(quant_intro,[status(thm)],[39])).
% 140.81/90.90 tff(41,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(42,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(43,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(44,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(45,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(46,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(47,plain,
% 140.81/90.90 ((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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(48,plain,
% 140.81/90.90 ((r1(Y!17, X!18) & (r1(X!18, Y!19) & r1(Y!19, X!20) & r1(X!20, Y!21) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.90 inference(rewrite,[status(thm)],[])).
% 140.81/90.90 tff(49,plain,
% 140.81/90.90 ((r1(X!18, Y!19) & (r1(Y!19, X!20) & r1(X!20, Y!21) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(50,plain,
% 140.81/90.91 ((r1(Y!19, X!20) & (r1(X!20, Y!21) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(51,plain,
% 140.81/90.91 ((r1(X!20, Y!21) & (r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(52,plain,
% 140.81/90.91 (^[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)) | (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))))))))),
% 140.81/90.91 inference(bind,[status(th)],[])).
% 140.81/90.91 tff(53,plain,
% 140.81/90.91 (![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)) | (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)))))))),
% 140.81/90.91 inference(quant_intro,[status(thm)],[52])).
% 140.81/90.91 tff(54,plain,
% 140.81/90.91 (((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) <=> (r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))))),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(55,plain,
% 140.81/90.91 ((~(~r1(X!20, Y!21))) <=> r1(X!20, Y!21)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(56,plain,
% 140.81/90.91 (((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & (r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[55, 54, 53])).
% 140.81/90.91 tff(57,plain,
% 140.81/90.91 (((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[56, 51])).
% 140.81/90.91 tff(58,plain,
% 140.81/90.91 ((~(~r1(Y!19, X!20))) <=> r1(Y!19, X!20)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(59,plain,
% 140.81/90.91 (((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[58, 57])).
% 140.81/90.91 tff(60,plain,
% 140.81/90.91 (((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[59, 50])).
% 140.81/90.91 tff(61,plain,
% 140.81/90.91 ((~(~r1(X!18, Y!19))) <=> r1(X!18, Y!19)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(62,plain,
% 140.81/90.91 (((~(~r1(X!18, Y!19))) & ((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[61, 60])).
% 140.81/90.91 tff(63,plain,
% 140.81/90.91 (((~(~r1(X!18, Y!19))) & ((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[62, 49])).
% 140.81/90.91 tff(64,plain,
% 140.81/90.91 ((~(~r1(Y!17, X!18))) <=> r1(Y!17, X!18)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(65,plain,
% 140.81/90.91 (((~(~r1(Y!17, X!18))) & ((~(~r1(X!18, Y!19))) & ((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[64, 63])).
% 140.81/90.91 tff(66,plain,
% 140.81/90.91 (((~(~r1(Y!17, X!18))) & ((~(~r1(X!18, Y!19))) & ((~(~r1(Y!19, X!20))) & ((~(~r1(X!20, Y!21))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[65, 48])).
% 140.81/90.91 tff(67,plain,
% 140.81/90.91 ((~(~r1(X!16, Y!17))) <=> r1(X!16, Y!17)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(68,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[67, 66])).
% 140.81/90.91 tff(69,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[68, 47])).
% 140.81/90.91 tff(70,plain,
% 140.81/90.91 ((~(~r1(Y!15, X!16))) <=> r1(Y!15, X!16)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(71,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[70, 69])).
% 140.81/90.91 tff(72,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[71, 46])).
% 140.81/90.91 tff(73,plain,
% 140.81/90.91 ((~(~r1(X!14, Y!15))) <=> r1(X!14, Y!15)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(74,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[73, 72])).
% 140.81/90.91 tff(75,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[74, 45])).
% 140.81/90.91 tff(76,plain,
% 140.81/90.91 ((~(~r1(Y!13, X!14))) <=> r1(Y!13, X!14)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(77,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[76, 75])).
% 140.81/90.91 tff(78,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[77, 44])).
% 140.81/90.91 tff(79,plain,
% 140.81/90.91 ((~(~r1(X!12, Y!13))) <=> r1(X!12, Y!13)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(80,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[79, 78])).
% 140.81/90.91 tff(81,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[80, 43])).
% 140.81/90.91 tff(82,plain,
% 140.81/90.91 ((~(~r1(Y!11, X!12))) <=> r1(Y!11, X!12)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(83,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.91 inference(monotonicity,[status(thm)],[82, 81])).
% 140.81/90.91 tff(84,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.91 inference(transitivity,[status(thm)],[83, 42])).
% 140.81/90.91 tff(85,plain,
% 140.81/90.91 ((~(~r1(X!0, Y!11))) <=> r1(X!0, Y!11)),
% 140.81/90.91 inference(rewrite,[status(thm)],[])).
% 140.81/90.91 tff(86,plain,
% 140.81/90.91 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.81/90.92 inference(monotonicity,[status(thm)],[85, 84])).
% 140.81/90.92 tff(87,plain,
% 140.81/90.92 (((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.92 inference(transitivity,[status(thm)],[86, 41])).
% 140.81/90.92 tff(88,plain,
% 140.81/90.92 ((((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.92 inference(monotonicity,[status(thm)],[87, 40, 38, 36, 34, 32, 30, 28, 26, 24, 22])).
% 140.81/90.92 tff(89,plain,
% 140.81/90.92 ((((~(~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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.81/90.93 inference(transitivity,[status(thm)],[88, 20])).
% 140.81/90.93 tff(90,plain,
% 140.81/90.93 (^[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)))))))))))))))))))),
% 140.81/90.93 inference(bind,[status(th)],[])).
% 140.81/90.93 tff(91,plain,
% 140.81/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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))))))))))))))))))),
% 140.81/90.93 inference(quant_intro,[status(thm)],[90])).
% 140.81/90.93 tff(92,plain,
% 140.81/90.93 (^[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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))))))))))))))))))))))),
% 140.81/90.93 inference(bind,[status(th)],[])).
% 140.81/90.93 tff(93,plain,
% 140.81/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))))))))))))),
% 140.81/90.93 inference(quant_intro,[status(thm)],[92])).
% 140.81/90.93 tff(94,plain,
% 140.81/90.93 (^[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))))))))))))))))))))),
% 140.81/90.93 inference(bind,[status(th)],[])).
% 140.81/90.93 tff(95,plain,
% 140.81/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))),
% 140.81/90.93 inference(quant_intro,[status(thm)],[94])).
% 140.81/90.93 tff(96,plain,
% 140.81/90.93 (^[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)))))))))))))))))))))),
% 140.81/90.93 inference(bind,[status(th)],[])).
% 140.81/90.93 tff(97,plain,
% 140.81/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))),
% 140.81/90.93 inference(quant_intro,[status(thm)],[96])).
% 140.81/90.93 tff(98,plain,
% 140.81/90.93 (^[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))))))))))))))))))))))),
% 140.81/90.93 inference(bind,[status(th)],[])).
% 140.81/90.93 tff(99,plain,
% 140.81/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 140.81/90.93 inference(quant_intro,[status(thm)],[98])).
% 140.81/90.93 tff(100,plain,
% 140.81/90.93 (^[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))))))))))))))))))))))))),
% 140.92/90.93 inference(bind,[status(th)],[])).
% 140.92/90.93 tff(101,plain,
% 140.92/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))))),
% 140.92/90.93 inference(quant_intro,[status(thm)],[100])).
% 140.92/90.93 tff(102,plain,
% 140.92/90.93 (^[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)))))))))))))))))))))))),
% 140.92/90.93 inference(bind,[status(th)],[])).
% 140.92/90.93 tff(103,plain,
% 140.92/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))))),
% 140.92/90.93 inference(quant_intro,[status(thm)],[102])).
% 140.92/90.93 tff(104,plain,
% 140.92/90.93 (^[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)))))))))))))))))))))))))),
% 140.92/90.93 inference(bind,[status(th)],[])).
% 140.92/90.93 tff(105,plain,
% 140.92/90.93 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))))))),
% 140.92/90.94 inference(quant_intro,[status(thm)],[104])).
% 140.92/90.94 tff(106,plain,
% 140.92/90.94 (^[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))))))))))))))))))))))))))),
% 140.92/90.94 inference(bind,[status(th)],[])).
% 140.92/90.94 tff(107,plain,
% 140.92/90.94 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))))))))))))))))),
% 140.92/90.94 inference(quant_intro,[status(thm)],[106])).
% 140.92/90.94 tff(108,plain,
% 140.92/90.94 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))))),
% 140.92/90.95 inference(monotonicity,[status(thm)],[107, 105, 103, 101, 99, 97, 95, 93, 91, 89])).
% 140.92/90.95 tff(109,plain,
% 140.92/90.95 ((![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) & ((~(~r1(Y!21, X!22))) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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))))))))),
% 140.92/90.96 inference(transitivity,[status(thm)],[108, 19])).
% 140.92/90.96 tff(110,plain,
% 140.92/90.96 (?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))),
% 140.92/90.97 inference(rewrite,[status(thm)],[])).
% 140.92/90.97 tff(111,plain,
% 140.92/90.97 ((~(~?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))),
% 140.92/90.98 inference(rewrite,[status(thm)],[])).
% 140.92/90.98 tff(112,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] 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((~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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))),
% 140.92/90.99 inference(rewrite,[status(thm)],[])).
% 140.92/90.99 tff(113,plain,
% 140.92/90.99 ((~(~?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))))),
% 140.98/91.00 inference(monotonicity,[status(thm)],[112])).
% 140.98/91.00 tff(114,plain,
% 140.98/91.00 ((~(~?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))),
% 140.98/91.01 inference(transitivity,[status(thm)],[113, 111])).
% 140.98/91.01 tff(115,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)) | ![Y: $i] : ((~r1(X, Y)) | 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((~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')).
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% 140.98/91.01 (?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))),
% 140.98/91.02 inference(modus_ponens,[status(thm)],[115, 114])).
% 140.98/91.02 tff(117,plain,
% 140.98/91.02 (?[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)) | ![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)) | ((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)) | ((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)) | ((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] : ((~r1(Y, X)) | (~![Y: $i] : (p1(Y) | (~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))))))))))))))))))) & ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))),
% 140.98/91.02 inference(modus_ponens,[status(thm)],[116, 110])).
% 140.98/91.02 tff(118,plain,
% 140.98/91.02 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)) | ![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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)) | ((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)) | ((p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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) & r1(Y!21, X!22) & ![Y: $i] : (p1(Y) | (~r1(X!22, Y))) & (~(p1(X!23) | (~r1(Y!21, X!23)))) & ![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)))))))),
% 140.98/91.03 inference(modus_ponens,[status(thm)],[117, 109])).
% 140.98/91.03 tff(119,plain,
% 140.98/91.03 (r1(X!0, Y!11)),
% 140.98/91.03 inference(and_elim,[status(thm)],[118])).
% 140.98/91.03 tff(120,plain,
% 140.98/91.03 (^[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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))))),
% 140.98/91.03 inference(bind,[status(th)],[])).
% 140.98/91.03 tff(121,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))))),
% 140.98/91.03 inference(quant_intro,[status(thm)],[120])).
% 140.98/91.03 tff(122,plain,
% 140.98/91.03 (^[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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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)))))))))))))))))))))))),
% 140.98/91.03 inference(bind,[status(th)],[])).
% 140.98/91.03 tff(123,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(quant_intro,[status(thm)],[122])).
% 140.98/91.03 tff(124,plain,
% 140.98/91.03 (^[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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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)))))))))))))))))))))))),
% 140.98/91.03 inference(bind,[status(th)],[])).
% 140.98/91.03 tff(125,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(quant_intro,[status(thm)],[124])).
% 140.98/91.03 tff(126,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(transitivity,[status(thm)],[125, 123])).
% 140.98/91.03 tff(127,plain,
% 140.98/91.03 (^[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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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)))))))))))))))))))))))),
% 140.98/91.03 inference(bind,[status(th)],[])).
% 140.98/91.03 tff(128,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(quant_intro,[status(thm)],[127])).
% 140.98/91.03 tff(129,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![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))) | (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)))))))) | ![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)))))))) & (p1(Y) | ![X: $i] : ((~r1(Y, X)) | (~(p1(tptp_fun_Y_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)))))))))))))))))))))),
% 140.98/91.03 inference(and_elim,[status(thm)],[118])).
% 140.98/91.03 tff(130,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(modus_ponens,[status(thm)],[129, 128])).
% 140.98/91.03 tff(131,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))) | (~((~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))))))))) | ![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)))))))) | (~((~(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))))))))))))))))))))))),
% 140.98/91.03 inference(modus_ponens,[status(thm)],[130, 126])).
% 140.98/91.03 tff(132,plain,
% 140.98/91.03 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))))),
% 140.98/91.03 inference(modus_ponens,[status(thm)],[131, 121])).
% 140.98/91.03 tff(133,plain,
% 140.98/91.03 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))))),
% 140.98/91.04 inference(rewrite,[status(thm)],[])).
% 140.98/91.04 tff(134,plain,
% 140.98/91.04 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))))),
% 140.98/91.04 inference(quant_inst,[status(thm)],[])).
% 140.98/91.04 tff(135,plain,
% 140.98/91.04 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))),
% 140.98/91.04 inference(modus_ponens,[status(thm)],[134, 133])).
% 140.98/91.04 tff(136,plain,
% 140.98/91.04 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))),
% 140.98/91.04 inference(unit_resolution,[status(thm)],[135, 132, 119])).
% 140.98/91.04 tff(137,plain,
% 140.98/91.04 (r1(Y!11, X!12)),
% 140.98/91.04 inference(and_elim,[status(thm)],[118])).
% 140.98/91.04 tff(138,plain,
% 140.98/91.04 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))),
% 140.98/91.04 inference(rewrite,[status(thm)],[])).
% 140.98/91.04 tff(139,plain,
% 140.98/91.04 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))))),
% 140.98/91.04 inference(quant_inst,[status(thm)],[])).
% 140.98/91.04 tff(140,plain,
% 140.98/91.04 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))),
% 140.98/91.04 inference(modus_ponens,[status(thm)],[139, 138])).
% 140.98/91.04 tff(141,plain,
% 140.98/91.04 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))),
% 140.98/91.04 inference(unit_resolution,[status(thm)],[140, 137, 136])).
% 140.98/91.04 tff(142,plain,
% 140.98/91.04 (r1(X!12, Y!13)),
% 140.98/91.04 inference(and_elim,[status(thm)],[118])).
% 140.98/91.04 tff(143,plain,
% 140.98/91.04 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))),
% 140.98/91.04 inference(rewrite,[status(thm)],[])).
% 140.98/91.04 tff(144,plain,
% 140.98/91.04 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))))),
% 140.98/91.04 inference(quant_inst,[status(thm)],[])).
% 140.98/91.05 tff(145,plain,
% 140.98/91.05 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))),
% 140.98/91.05 inference(modus_ponens,[status(thm)],[144, 143])).
% 140.98/91.05 tff(146,plain,
% 140.98/91.05 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))),
% 140.98/91.05 inference(unit_resolution,[status(thm)],[145, 142, 141])).
% 140.98/91.05 tff(147,plain,
% 140.98/91.05 (r1(Y!13, X!14)),
% 140.98/91.05 inference(and_elim,[status(thm)],[118])).
% 140.98/91.05 tff(148,plain,
% 140.98/91.05 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))),
% 140.98/91.05 inference(rewrite,[status(thm)],[])).
% 140.98/91.05 tff(149,plain,
% 140.98/91.05 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))))),
% 140.98/91.05 inference(quant_inst,[status(thm)],[])).
% 140.98/91.05 tff(150,plain,
% 140.98/91.05 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))),
% 140.98/91.05 inference(modus_ponens,[status(thm)],[149, 148])).
% 140.98/91.05 tff(151,plain,
% 140.98/91.05 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))),
% 140.98/91.05 inference(unit_resolution,[status(thm)],[150, 147, 146])).
% 140.98/91.05 tff(152,plain,
% 140.98/91.05 (r1(X!14, Y!15)),
% 140.98/91.05 inference(and_elim,[status(thm)],[118])).
% 140.98/91.05 tff(153,plain,
% 140.98/91.05 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))),
% 140.98/91.05 inference(rewrite,[status(thm)],[])).
% 140.98/91.05 tff(154,plain,
% 140.98/91.05 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))))),
% 140.98/91.05 inference(quant_inst,[status(thm)],[])).
% 140.98/91.05 tff(155,plain,
% 140.98/91.05 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))),
% 140.98/91.05 inference(modus_ponens,[status(thm)],[154, 153])).
% 140.98/91.05 tff(156,plain,
% 140.98/91.05 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))),
% 140.98/91.05 inference(unit_resolution,[status(thm)],[155, 152, 151])).
% 140.98/91.05 tff(157,plain,
% 140.98/91.05 (r1(Y!15, X!16)),
% 140.98/91.05 inference(and_elim,[status(thm)],[118])).
% 140.98/91.05 tff(158,plain,
% 140.98/91.05 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))),
% 140.98/91.06 inference(rewrite,[status(thm)],[])).
% 140.98/91.06 tff(159,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))))),
% 140.98/91.06 inference(quant_inst,[status(thm)],[])).
% 140.98/91.06 tff(160,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))),
% 140.98/91.06 inference(modus_ponens,[status(thm)],[159, 158])).
% 140.98/91.06 tff(161,plain,
% 140.98/91.06 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))),
% 140.98/91.06 inference(unit_resolution,[status(thm)],[160, 157, 156])).
% 140.98/91.06 tff(162,plain,
% 140.98/91.06 (r1(X!16, Y!17)),
% 140.98/91.06 inference(and_elim,[status(thm)],[118])).
% 140.98/91.06 tff(163,plain,
% 140.98/91.06 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))),
% 140.98/91.06 inference(rewrite,[status(thm)],[])).
% 140.98/91.06 tff(164,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))))),
% 140.98/91.06 inference(quant_inst,[status(thm)],[])).
% 140.98/91.06 tff(165,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))),
% 140.98/91.06 inference(modus_ponens,[status(thm)],[164, 163])).
% 140.98/91.06 tff(166,plain,
% 140.98/91.06 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))),
% 140.98/91.06 inference(unit_resolution,[status(thm)],[165, 162, 161])).
% 140.98/91.06 tff(167,plain,
% 140.98/91.06 (r1(Y!17, X!18)),
% 140.98/91.06 inference(and_elim,[status(thm)],[118])).
% 140.98/91.06 tff(168,plain,
% 140.98/91.06 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))),
% 140.98/91.06 inference(rewrite,[status(thm)],[])).
% 140.98/91.06 tff(169,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))))),
% 140.98/91.06 inference(quant_inst,[status(thm)],[])).
% 140.98/91.06 tff(170,plain,
% 140.98/91.06 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))),
% 140.98/91.06 inference(modus_ponens,[status(thm)],[169, 168])).
% 140.98/91.06 tff(171,plain,
% 140.98/91.06 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))),
% 140.98/91.06 inference(unit_resolution,[status(thm)],[170, 167, 166])).
% 140.98/91.06 tff(172,plain,
% 140.98/91.06 (r1(X!18, Y!19)),
% 140.98/91.06 inference(and_elim,[status(thm)],[118])).
% 140.98/91.06 tff(173,plain,
% 140.98/91.06 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))),
% 140.98/91.07 inference(rewrite,[status(thm)],[])).
% 140.98/91.07 tff(174,plain,
% 140.98/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))))),
% 140.98/91.07 inference(quant_inst,[status(thm)],[])).
% 140.98/91.07 tff(175,plain,
% 140.98/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))),
% 140.98/91.07 inference(modus_ponens,[status(thm)],[174, 173])).
% 140.98/91.07 tff(176,plain,
% 140.98/91.07 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))),
% 140.98/91.07 inference(unit_resolution,[status(thm)],[175, 172, 171])).
% 140.98/91.07 tff(177,plain,
% 140.98/91.07 (r1(Y!19, X!20)),
% 140.98/91.07 inference(and_elim,[status(thm)],[118])).
% 140.98/91.07 tff(178,plain,
% 140.98/91.07 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))),
% 140.98/91.07 inference(rewrite,[status(thm)],[])).
% 140.98/91.07 tff(179,plain,
% 140.98/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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))))))))))))))),
% 140.98/91.07 inference(quant_inst,[status(thm)],[])).
% 140.98/91.07 tff(180,plain,
% 140.98/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))),
% 140.98/91.07 inference(modus_ponens,[status(thm)],[179, 178])).
% 140.98/91.07 tff(181,plain,
% 140.98/91.07 (![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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)))))))))))))),
% 140.98/91.07 inference(unit_resolution,[status(thm)],[180, 177, 176])).
% 140.98/91.07 tff(182,plain,
% 140.98/91.07 (r1(X!20, Y!21)),
% 140.98/91.07 inference(and_elim,[status(thm)],[118])).
% 140.98/91.07 tff(183,plain,
% 140.98/91.07 (((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))))))) <=> ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))))))),
% 141.06/91.07 inference(rewrite,[status(thm)],[])).
% 141.06/91.07 tff(184,plain,
% 141.06/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))))))),
% 141.06/91.07 inference(quant_inst,[status(thm)],[])).
% 141.06/91.07 tff(185,plain,
% 141.06/91.07 ((~![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(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)) | (~((~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))))))))) | (~((~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)) | (~((~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(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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: $i] : (p1(Y) | (~r1(X, Y))))))))))))),
% 141.06/91.07 inference(modus_ponens,[status(thm)],[184, 183])).
% 141.06/91.07 tff(186,plain,
% 141.06/91.07 ($false),
% 141.06/91.07 inference(unit_resolution,[status(thm)],[185, 182, 181, 18])).
% 141.06/91.07 tff(187,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)))))) | (~(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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.07 tff(188,plain,
% 141.06/91.07 (((~![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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))))))) | ![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)))))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(189,plain,
% 141.06/91.08 (![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)))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[188, 187])).
% 141.06/91.08 tff(190,assumption,(~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))), introduced(assumption)).
% 141.06/91.08 tff(191,plain,
% 141.06/91.08 ((p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22)))) | r1(X!22, tptp_fun_Y_1(X!22))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(192,plain,
% 141.06/91.08 (r1(X!22, tptp_fun_Y_1(X!22))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[191, 190])).
% 141.06/91.08 tff(193,plain,
% 141.06/91.08 ((p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22)))) | (~p1(tptp_fun_Y_1(X!22)))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(194,plain,
% 141.06/91.08 (~p1(tptp_fun_Y_1(X!22))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[193, 190])).
% 141.06/91.08 tff(195,plain,
% 141.06/91.08 (^[Y: $i] : refl((p1(Y) | (~r1(X!22, Y))) <=> (p1(Y) | (~r1(X!22, Y))))),
% 141.06/91.08 inference(bind,[status(th)],[])).
% 141.06/91.08 tff(196,plain,
% 141.06/91.08 (![Y: $i] : (p1(Y) | (~r1(X!22, Y))) <=> ![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 141.06/91.08 inference(quant_intro,[status(thm)],[195])).
% 141.06/91.08 tff(197,plain,
% 141.06/91.08 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 141.06/91.08 inference(and_elim,[status(thm)],[118])).
% 141.06/91.08 tff(198,plain,
% 141.06/91.08 (![Y: $i] : (p1(Y) | (~r1(X!22, Y)))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[197, 196])).
% 141.06/91.08 tff(199,plain,
% 141.06/91.08 (((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(200,plain,
% 141.06/91.08 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | (p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(201,plain,
% 141.06/91.08 ((~![Y: $i] : (p1(Y) | (~r1(X!22, Y)))) | p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22)))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[200, 199])).
% 141.06/91.08 tff(202,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[201, 198, 194, 192])).
% 141.06/91.08 tff(203,plain,(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(204,plain,
% 141.06/91.08 (r1(Y!21, X!22)),
% 141.06/91.08 inference(and_elim,[status(thm)],[118])).
% 141.06/91.08 tff(205,plain,
% 141.06/91.08 (((~![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!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))) | ![Y: $i] : ((~r1(X!22, 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!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(206,plain,
% 141.06/91.08 ((~![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!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(207,plain,
% 141.06/91.08 ((~![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!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))) | ![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[206, 205])).
% 141.06/91.08 tff(208,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[207, 204, 203, 189, 17])).
% 141.06/91.08 tff(209,plain,(![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(210,assumption,(![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 141.06/91.08 tff(211,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))), introduced(assumption)).
% 141.06/91.08 tff(212,assumption,(r1(X!22, tptp_fun_Y_5(X!22))), introduced(assumption)).
% 141.06/91.08 tff(213,plain,
% 141.06/91.08 (((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X))))) <=> ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(214,plain,
% 141.06/91.08 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(215,plain,
% 141.06/91.08 ((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[214, 213])).
% 141.06/91.08 tff(216,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[215, 212, 211, 210])).
% 141.06/91.08 tff(217,plain,((~![Y: $i] : ((~r1(X!22, Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(218,plain,
% 141.06/91.08 ((~r1(X!22, tptp_fun_Y_5(X!22))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[217, 209])).
% 141.06/91.08 tff(219,plain,
% 141.06/91.08 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[218, 16])).
% 141.06/91.08 tff(220,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))), introduced(assumption)).
% 141.06/91.08 tff(221,assumption,(r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))), introduced(assumption)).
% 141.06/91.08 tff(222,assumption,(~p1(tptp_fun_X_6(X!22))), introduced(assumption)).
% 141.06/91.08 tff(223,plain,
% 141.06/91.08 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))) | (p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(224,plain,
% 141.06/91.08 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))) | (p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(225,plain,
% 141.06/91.08 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[224, 223])).
% 141.06/91.08 tff(226,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[225, 222, 221, 220])).
% 141.06/91.08 tff(227,plain,((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(X!22), X)))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(228,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[227, 219, 14, 12])).
% 141.06/91.08 tff(229,plain,((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(230,assumption,(![X: $i] : ((~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))))))), introduced(assumption)).
% 141.06/91.08 tff(231,assumption,((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))), introduced(assumption)).
% 141.06/91.08 tff(232,plain,
% 141.06/91.08 (((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))) <=> ((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(233,plain,
% 141.06/91.08 (((~r1(Y!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | (~p1(tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))))) <=> ((~r1(Y!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(234,plain,
% 141.06/91.08 (((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | (~p1(tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))) <=> ((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))))))),
% 141.06/91.08 inference(monotonicity,[status(thm)],[233])).
% 141.06/91.08 tff(235,plain,
% 141.06/91.08 (((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | (~p1(tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))) <=> ((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))),
% 141.06/91.08 inference(transitivity,[status(thm)],[234, 232])).
% 141.06/91.08 tff(236,plain,
% 141.06/91.08 ((~![X: $i] : ((~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!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | (~p1(tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22))))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(237,plain,
% 141.06/91.08 ((~![X: $i] : ((~r1(Y!21, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~p1(tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | (~r1(Y!21, X!22)) | (~((~r1(X!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[236, 235])).
% 141.06/91.08 tff(238,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[237, 204, 231, 230])).
% 141.06/91.08 tff(239,plain,((~![X: $i] : ((~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!22, tptp_fun_Y_5(X!22))) | p1(tptp_fun_X_6(X!22)) | (~p1(tptp_fun_Y_5(X!22))) | (~r1(tptp_fun_Y_5(X!22), tptp_fun_X_6(X!22)))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.08 tff(240,plain,
% 141.06/91.08 (~![X: $i] : ((~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))))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[239, 229])).
% 141.06/91.08 tff(241,plain,
% 141.06/91.08 (~((~![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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[185, 182, 181])).
% 141.06/91.08 tff(242,plain,
% 141.06/91.08 (((~![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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(243,plain,
% 141.06/91.08 ((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[242, 241])).
% 141.06/91.08 tff(244,plain,
% 141.06/91.08 (((~![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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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(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))))))))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(245,plain,
% 141.06/91.08 (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)))))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[244, 241])).
% 141.06/91.08 tff(246,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)).
% 141.06/91.08 tff(247,plain,
% 141.06/91.08 ((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))))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(248,plain,
% 141.06/91.08 (![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[247, 246])).
% 141.06/91.08 tff(249,assumption,(~((~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))) | (~p1(tptp_fun_Y_5(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)).
% 141.06/91.08 tff(250,plain,
% 141.06/91.08 (((~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))) | (~p1(tptp_fun_Y_5(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)))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(251,plain,
% 141.06/91.08 (r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[250, 249])).
% 141.06/91.08 tff(252,plain,
% 141.06/91.08 (((~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))) | (~p1(tptp_fun_Y_5(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))))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(253,plain,
% 141.06/91.08 (~p1(tptp_fun_X_6(tptp_fun_X_2(Y!21)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[252, 249])).
% 141.06/91.08 tff(254,assumption,(![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))), introduced(assumption)).
% 141.06/91.08 tff(255,assumption,(r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21)))), introduced(assumption)).
% 141.06/91.08 tff(256,assumption,(~p1(tptp_fun_X_6(tptp_fun_X_2(Y!21)))), introduced(assumption)).
% 141.06/91.08 tff(257,plain,
% 141.06/91.08 (((~![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)))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(258,plain,
% 141.06/91.08 ((~![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)))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(259,plain,
% 141.06/91.08 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[258, 257])).
% 141.06/91.08 tff(260,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[259, 256, 255, 254])).
% 141.06/91.08 tff(261,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,[]))).
% 141.06/91.08 tff(262,plain,
% 141.06/91.08 (~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[261, 253, 251])).
% 141.06/91.08 tff(263,plain,
% 141.06/91.08 (((~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))) | (~p1(tptp_fun_Y_5(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)))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(264,plain,
% 141.06/91.08 (p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[263, 249])).
% 141.06/91.08 tff(265,plain,
% 141.06/91.08 (((~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))) | (~p1(tptp_fun_Y_5(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)))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(266,plain,
% 141.06/91.08 (r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[265, 249])).
% 141.06/91.08 tff(267,assumption,(![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 141.06/91.08 tff(268,plain,
% 141.06/91.08 (((~![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))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(269,plain,
% 141.06/91.08 ((~![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))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(270,plain,
% 141.06/91.08 ((~![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: $i] : (p1(X) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), X)))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[269, 268])).
% 141.06/91.08 tff(271,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[270, 267, 266, 264, 262])).
% 141.06/91.08 tff(272,plain,(((~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))) | (~p1(tptp_fun_Y_5(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,[]))).
% 141.06/91.08 tff(273,plain,
% 141.06/91.08 ((~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))) | (~p1(tptp_fun_Y_5(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))))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[272, 248])).
% 141.06/91.08 tff(274,plain,
% 141.06/91.08 ((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))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(275,plain,
% 141.06/91.08 (r1(Y!21, tptp_fun_X_2(Y!21))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[274, 246])).
% 141.06/91.08 tff(276,plain,
% 141.06/91.08 ((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)))),
% 141.06/91.08 inference(tautology,[status(thm)],[])).
% 141.06/91.08 tff(277,plain,
% 141.06/91.08 (~p1(tptp_fun_X_2(Y!21))),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[276, 246])).
% 141.06/91.08 tff(278,plain,
% 141.06/91.08 (^[X: $i] : refl((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)) | (~((~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)))))))),
% 141.06/91.08 inference(bind,[status(th)],[])).
% 141.06/91.08 tff(279,plain,
% 141.06/91.08 (![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)) | (~((~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))))))),
% 141.06/91.08 inference(quant_intro,[status(thm)],[278])).
% 141.06/91.08 tff(280,plain,
% 141.06/91.08 (^[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)) | (~((~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)))))))),
% 141.06/91.08 inference(bind,[status(th)],[])).
% 141.06/91.08 tff(281,plain,
% 141.06/91.08 (![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)) | (~((~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))))))),
% 141.06/91.08 inference(quant_intro,[status(thm)],[280])).
% 141.06/91.08 tff(282,plain,
% 141.06/91.08 (![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)))))))),
% 141.06/91.08 inference(and_elim,[status(thm)],[118])).
% 141.06/91.08 tff(283,plain,
% 141.06/91.08 (![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))))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[282, 281])).
% 141.06/91.08 tff(284,plain,
% 141.06/91.08 (![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))))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[283, 279])).
% 141.06/91.08 tff(285,plain,
% 141.06/91.08 (((~![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))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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))) | (~p1(tptp_fun_Y_5(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)) | (~((~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(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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))) | (~p1(tptp_fun_Y_5(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)))))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(286,plain,
% 141.06/91.08 ((p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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_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_2(Y!21)) | (~r1(Y!21, 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))) | (~p1(tptp_fun_Y_5(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)))))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.08 tff(287,plain,
% 141.06/91.08 (((~![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))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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_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)) | (~((~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(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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))) | (~p1(tptp_fun_Y_5(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))))))))),
% 141.06/91.08 inference(monotonicity,[status(thm)],[286])).
% 141.06/91.08 tff(288,plain,
% 141.06/91.08 (((~![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))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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_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)) | (~((~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(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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))) | (~p1(tptp_fun_Y_5(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)))))))),
% 141.06/91.08 inference(transitivity,[status(thm)],[287, 285])).
% 141.06/91.08 tff(289,plain,
% 141.06/91.08 ((~![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))))))) | (p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, 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_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)))))))),
% 141.06/91.08 inference(quant_inst,[status(thm)],[])).
% 141.06/91.08 tff(290,plain,
% 141.06/91.08 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)) | (~((~r1(X, tptp_fun_Y_5(X))) | (~p1(tptp_fun_Y_5(X))) | p1(tptp_fun_X_6(X)) | (~r1(tptp_fun_Y_5(X), tptp_fun_X_6(X))))))) | p1(tptp_fun_X_2(Y!21)) | (~r1(Y!21, tptp_fun_X_2(Y!21))) | (~((~r1(tptp_fun_X_2(Y!21), tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | p1(tptp_fun_X_6(tptp_fun_X_2(Y!21))) | (~p1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)))) | (~r1(tptp_fun_Y_5(tptp_fun_X_2(Y!21)), tptp_fun_X_6(tptp_fun_X_2(Y!21))))))),
% 141.06/91.08 inference(modus_ponens,[status(thm)],[289, 288])).
% 141.06/91.08 tff(291,plain,
% 141.06/91.08 ($false),
% 141.06/91.08 inference(unit_resolution,[status(thm)],[290, 284, 277, 275, 273])).
% 141.06/91.08 tff(292,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,[]))).
% 141.06/91.08 tff(293,assumption,(![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))), introduced(assumption)).
% 141.06/91.08 tff(294,plain,
% 141.06/91.08 (((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(Y!21, X!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))))) <=> ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(Y!21, X!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))))),
% 141.06/91.08 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(295,plain,
% 141.06/91.09 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(Y!21, X!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22))))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(296,plain,
% 141.06/91.09 ((~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(Y!21, X!22)) | (~(p1(tptp_fun_Y_1(X!22)) | (~r1(X!22, tptp_fun_Y_1(X!22)))))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[295, 294])).
% 141.06/91.09 tff(297,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[296, 204, 203, 293])).
% 141.06/91.09 tff(298,plain,(~![X: $i] : ((~r1(Y!21, X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(299,plain,
% 141.06/91.09 ((~(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)))))) | (~(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)))))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(300,plain,
% 141.06/91.09 ((~(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)),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[299, 298, 292])).
% 141.06/91.09 tff(301,plain,
% 141.06/91.09 (p1(Y!21)),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[300, 245])).
% 141.06/91.09 tff(302,assumption,((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))), introduced(assumption)).
% 141.06/91.09 tff(303,assumption,(~![X: $i] : ((~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))))))), introduced(assumption)).
% 141.06/91.09 tff(304,assumption,(![X: $i] : (p1(X) | (~r1(Y!21, X)))), introduced(assumption)).
% 141.06/91.09 tff(305,plain,
% 141.06/91.09 (~(p1(X!23) | (~r1(Y!21, X!23)))),
% 141.06/91.09 inference(and_elim,[status(thm)],[118])).
% 141.06/91.09 tff(306,plain,
% 141.06/91.09 (r1(Y!21, X!23)),
% 141.06/91.09 inference(or_elim,[status(thm)],[305])).
% 141.06/91.09 tff(307,plain,
% 141.06/91.09 (~p1(X!23)),
% 141.06/91.09 inference(or_elim,[status(thm)],[305])).
% 141.06/91.09 tff(308,plain,
% 141.06/91.09 (((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | (p1(X!23) | (~r1(Y!21, X!23)))) <=> ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | p1(X!23) | (~r1(Y!21, X!23)))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(309,plain,
% 141.06/91.09 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | (p1(X!23) | (~r1(Y!21, X!23)))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(310,plain,
% 141.06/91.09 ((~![X: $i] : (p1(X) | (~r1(Y!21, X)))) | p1(X!23) | (~r1(Y!21, X!23))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[309, 308])).
% 141.06/91.09 tff(311,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[310, 307, 306, 304])).
% 141.06/91.09 tff(312,plain,(~![X: $i] : (p1(X) | (~r1(Y!21, X)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(313,plain,
% 141.06/91.09 ((~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(314,plain,
% 141.06/91.09 ((~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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: $i] : (p1(Y) | (~r1(X, Y)))))))))) | (~p1(Y!21))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[313, 312, 303, 302])).
% 141.06/91.09 tff(315,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[314, 301, 243])).
% 141.06/91.09 tff(316,plain,((~((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))) | ![X: $i] : ((~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))))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(317,plain,
% 141.06/91.09 (~((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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)))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[316, 240])).
% 141.06/91.09 tff(318,plain,
% 141.06/91.09 (((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))) | ![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)))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(319,plain,
% 141.06/91.09 (![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)))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[318, 317])).
% 141.06/91.09 tff(320,plain,
% 141.06/91.09 (((~![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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(321,plain,
% 141.06/91.09 (((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))))) <=> ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(322,plain,
% 141.06/91.09 (((~![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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(tptp_fun_Y_1(tptp_fun_X_7(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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))))),
% 141.06/91.09 inference(monotonicity,[status(thm)],[321])).
% 141.06/91.09 tff(323,plain,
% 141.06/91.09 (((~![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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(tptp_fun_Y_1(tptp_fun_X_7(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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X))))),
% 141.06/91.09 inference(transitivity,[status(thm)],[322, 320])).
% 141.06/91.09 tff(324,plain,
% 141.06/91.09 ((~![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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)) | (~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y)))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(325,plain,
% 141.06/91.09 ((~![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_1(tptp_fun_X_7(Y!21)))) | (~((~p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_4(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[324, 323])).
% 141.06/91.09 tff(326,plain,
% 141.06/91.09 (![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[325, 319, 9, 8])).
% 141.06/91.09 tff(327,assumption,(~((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))), introduced(assumption)).
% 141.06/91.09 tff(328,plain,
% 141.06/91.09 (((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(329,plain,
% 141.06/91.09 (p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[328, 327])).
% 141.06/91.09 tff(330,plain,
% 141.06/91.09 (((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(331,plain,
% 141.06/91.09 (r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[330, 327])).
% 141.06/91.09 tff(332,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))), introduced(assumption)).
% 141.06/91.09 tff(333,assumption,(![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))), introduced(assumption)).
% 141.06/91.09 tff(334,assumption,(p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))), introduced(assumption)).
% 141.06/91.09 tff(335,assumption,(r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))), introduced(assumption)).
% 141.06/91.09 tff(336,plain,
% 141.06/91.09 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(337,plain,
% 141.06/91.09 (((~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) <=> ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(338,plain,
% 141.06/91.09 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))))),
% 141.06/91.09 inference(monotonicity,[status(thm)],[337])).
% 141.06/91.09 tff(339,plain,
% 141.06/91.09 (((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) <=> ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))))),
% 141.06/91.09 inference(transitivity,[status(thm)],[338, 336])).
% 141.06/91.09 tff(340,plain,
% 141.06/91.09 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | ((~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(341,plain,
% 141.06/91.09 ((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X)))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[340, 339])).
% 141.06/91.09 tff(342,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[341, 335, 334, 333, 332])).
% 141.06/91.09 tff(343,plain,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), X))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(344,plain,
% 141.06/91.09 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[343, 331, 329, 326])).
% 141.06/91.09 tff(345,plain,
% 141.06/91.09 (((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(346,plain,
% 141.06/91.09 (r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[345, 327])).
% 141.06/91.09 tff(347,plain,
% 141.06/91.09 (((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | (~p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(348,plain,
% 141.06/91.09 (~p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[347, 327])).
% 141.06/91.09 tff(349,plain,
% 141.06/91.09 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))) | (p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(350,plain,
% 141.06/91.09 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))) | (p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(351,plain,
% 141.06/91.09 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), Y)))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[350, 349])).
% 141.06/91.09 tff(352,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[351, 348, 346, 344])).
% 141.06/91.09 tff(353,plain,(((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(354,plain,
% 141.06/91.09 ((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[353, 5, 3])).
% 141.06/91.09 tff(355,plain,
% 141.06/91.09 (((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))) | r1(Y!21, tptp_fun_X_7(Y!21))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(356,plain,
% 141.06/91.09 (r1(Y!21, tptp_fun_X_7(Y!21))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[355, 317])).
% 141.06/91.09 tff(357,plain,
% 141.06/91.09 (((~![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(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)) | (~((~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))))))))) | (~((~p1(Y!21)) | ![X: $i] : (p1(X) | (~r1(Y!21, X))) | ![X: $i] : ((~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!21, tptp_fun_X_7(Y!21))) | (~p1(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)) | (~((~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))))))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(358,plain,
% 141.06/91.09 ((~(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)) | (~((~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)))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[357, 187])).
% 141.06/91.09 tff(359,plain,
% 141.06/91.09 ((~((~(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)) | (~((~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))))))))) | (~(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)) | (~((~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)))))))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(360,plain,
% 141.06/91.09 ((~((~(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)) | (~((~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))))))))) | ![X: $i] : ((~r1(Y!21, 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)))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[359, 292])).
% 141.06/91.09 tff(361,plain,
% 141.06/91.09 (![X: $i] : ((~r1(Y!21, 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)))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[360, 358])).
% 141.06/91.09 tff(362,assumption,(![X: $i] : ((~r1(Y!21, 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)))))))), introduced(assumption)).
% 141.06/91.09 tff(363,assumption,(~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))), introduced(assumption)).
% 141.06/91.09 tff(364,assumption,(r1(Y!21, tptp_fun_X_7(Y!21))), introduced(assumption)).
% 141.06/91.09 tff(365,plain,
% 141.06/91.09 (((~![X: $i] : ((~r1(Y!21, 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(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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)))))))) <=> ((~![X: $i] : ((~r1(Y!21, 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(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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)))))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(366,plain,
% 141.06/91.09 ((~![X: $i] : ((~r1(Y!21, 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(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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)))))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(367,plain,
% 141.06/91.09 ((~![X: $i] : ((~r1(Y!21, 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(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | (~p1(tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[366, 365])).
% 141.06/91.09 tff(368,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[367, 364, 363, 362])).
% 141.06/91.09 tff(369,plain,((~![X: $i] : ((~r1(Y!21, 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(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(370,plain,
% 141.06/91.09 ((~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[369, 361])).
% 141.06/91.09 tff(371,plain,
% 141.06/91.09 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[370, 356])).
% 141.06/91.09 tff(372,plain,
% 141.06/91.09 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(373,plain,
% 141.06/91.09 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(374,plain,
% 141.06/91.09 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | (~p1(tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~((~r1(tptp_fun_Y_1(tptp_fun_X_7(Y!21)), tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | (~p1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))))) | p1(tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_1(tptp_fun_X_7(Y!21))), tptp_fun_Y_10(tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[373, 372])).
% 141.06/91.09 tff(375,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[374, 371, 3, 5, 354])).
% 141.06/91.09 tff(376,plain,(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(377,assumption,(~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 141.06/91.09 tff(378,plain,
% 141.06/91.09 (((~![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, tptp_fun_X_7(Y!21))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), 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, tptp_fun_X_7(Y!21))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(379,plain,
% 141.06/91.09 ((~![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, tptp_fun_X_7(Y!21))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(380,plain,
% 141.06/91.09 ((~![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, tptp_fun_X_7(Y!21))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_7(Y!21))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_1(tptp_fun_X_7(Y!21)))))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[379, 378])).
% 141.06/91.09 tff(381,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[380, 356, 189, 377, 376])).
% 141.06/91.09 tff(382,plain,(![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.09 tff(383,assumption,(![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))), introduced(assumption)).
% 141.06/91.09 tff(384,assumption,(~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))), introduced(assumption)).
% 141.06/91.09 tff(385,plain,
% 141.06/91.09 (((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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))))))) | r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))),
% 141.06/91.09 inference(tautology,[status(thm)],[])).
% 141.06/91.09 tff(386,plain,
% 141.06/91.09 (r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[385, 317])).
% 141.06/91.09 tff(387,plain,
% 141.06/91.09 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X))))),
% 141.06/91.09 inference(rewrite,[status(thm)],[])).
% 141.06/91.09 tff(388,plain,
% 141.06/91.09 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X))))),
% 141.06/91.09 inference(quant_inst,[status(thm)],[])).
% 141.06/91.09 tff(389,plain,
% 141.06/91.09 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 141.06/91.09 inference(modus_ponens,[status(thm)],[388, 387])).
% 141.06/91.09 tff(390,plain,
% 141.06/91.09 ($false),
% 141.06/91.09 inference(unit_resolution,[status(thm)],[389, 386, 384, 383])).
% 141.06/91.09 tff(391,plain,((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))) | ![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(392,plain,
% 141.06/91.10 (![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[391, 382])).
% 141.06/91.10 tff(393,plain,
% 141.06/91.10 (((~r1(Y!21, tptp_fun_X_7(Y!21))) | (~p1(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_Y_8(Y!21)))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(394,plain,
% 141.06/91.10 (~p1(tptp_fun_Y_8(Y!21))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[393, 317])).
% 141.06/91.10 tff(395,assumption,(r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))), introduced(assumption)).
% 141.06/91.10 tff(396,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)).
% 141.06/91.10 tff(397,assumption,(~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))), introduced(assumption)).
% 141.06/91.10 tff(398,assumption,(~p1(tptp_fun_Y_8(Y!21))), introduced(assumption)).
% 141.06/91.10 tff(399,plain,
% 141.06/91.10 (((~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))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(400,plain,
% 141.06/91.10 ((~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))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[399, 398])).
% 141.06/91.10 tff(401,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)).
% 141.06/91.10 tff(402,plain,
% 141.06/91.10 (((~![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))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(403,plain,
% 141.06/91.10 (((~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))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(404,plain,
% 141.06/91.10 (((~![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)))))),
% 141.06/91.10 inference(monotonicity,[status(thm)],[403])).
% 141.06/91.10 tff(405,plain,
% 141.06/91.10 (((~![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))))),
% 141.06/91.10 inference(transitivity,[status(thm)],[404, 402])).
% 141.06/91.10 tff(406,plain,
% 141.06/91.10 ((~![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)))))),
% 141.06/91.10 inference(quant_inst,[status(thm)],[])).
% 141.06/91.10 tff(407,plain,
% 141.06/91.10 ((~![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: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 141.06/91.10 inference(modus_ponens,[status(thm)],[406, 405])).
% 141.06/91.10 tff(408,plain,
% 141.06/91.10 ($false),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[407, 395, 396, 397, 401])).
% 141.06/91.10 tff(409,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)))))) | (~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)))))) | ![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(410,plain,
% 141.06/91.10 ($false),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[409, 400, 397, 396, 395])).
% 141.06/91.10 tff(411,plain,(![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))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(412,plain,
% 141.06/91.10 (![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[411, 386, 394, 319])).
% 141.06/91.10 tff(413,assumption,(![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))), introduced(assumption)).
% 141.06/91.10 tff(414,assumption,(![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))), introduced(assumption)).
% 141.06/91.10 tff(415,assumption,(~((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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))))), introduced(assumption)).
% 141.06/91.10 tff(416,plain,
% 141.06/91.10 (((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(417,plain,
% 141.06/91.10 (r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[416, 415])).
% 141.06/91.10 tff(418,assumption,(r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))), introduced(assumption)).
% 141.06/91.10 tff(419,plain,
% 141.06/91.10 (((~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))))) <=> ((~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(420,plain,
% 141.06/91.10 ((~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | ((~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))))),
% 141.06/91.10 inference(quant_inst,[status(thm)],[])).
% 141.06/91.10 tff(421,plain,
% 141.06/91.10 ((~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~(p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))))),
% 141.06/91.10 inference(modus_ponens,[status(thm)],[420, 419])).
% 141.06/91.10 tff(422,plain,
% 141.06/91.10 (~(p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[421, 413, 418])).
% 141.06/91.10 tff(423,plain,
% 141.06/91.10 ((p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))) | r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(424,plain,
% 141.06/91.10 (r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[423, 422])).
% 141.06/91.10 tff(425,plain,
% 141.06/91.10 ((p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))) | (~p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(426,plain,
% 141.06/91.10 (~p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[425, 422])).
% 141.06/91.10 tff(427,assumption,(![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))), introduced(assumption)).
% 141.06/91.10 tff(428,plain,
% 141.06/91.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | (p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(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)))) | p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(429,plain,
% 141.06/91.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | (p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21))))))),
% 141.06/91.10 inference(quant_inst,[status(thm)],[])).
% 141.06/91.10 tff(430,plain,
% 141.06/91.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | p1(tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))))),
% 141.06/91.10 inference(modus_ponens,[status(thm)],[429, 428])).
% 141.06/91.10 tff(431,plain,
% 141.06/91.10 ($false),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[430, 427, 426, 424])).
% 141.06/91.10 tff(432,plain,((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))) | (~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(433,plain,
% 141.06/91.10 (~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[432, 417, 413])).
% 141.06/91.10 tff(434,plain,
% 141.06/91.10 (((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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)))) | p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 141.06/91.10 inference(tautology,[status(thm)],[])).
% 141.06/91.10 tff(435,plain,
% 141.06/91.10 (p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[434, 415])).
% 141.06/91.10 tff(436,plain,
% 141.06/91.10 (((~![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))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(437,plain,
% 141.06/91.10 (((~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))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(438,plain,
% 141.06/91.10 (((~![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)))))),
% 141.06/91.10 inference(monotonicity,[status(thm)],[437])).
% 141.06/91.10 tff(439,plain,
% 141.06/91.10 (((~![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))))),
% 141.06/91.10 inference(transitivity,[status(thm)],[438, 436])).
% 141.06/91.10 tff(440,plain,
% 141.06/91.10 ((~![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)))))),
% 141.06/91.10 inference(quant_inst,[status(thm)],[])).
% 141.06/91.10 tff(441,plain,
% 141.06/91.10 ((~![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: $i] : (p1(Y) | (~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), Y)))),
% 141.06/91.10 inference(modus_ponens,[status(thm)],[440, 439])).
% 141.06/91.10 tff(442,plain,
% 141.06/91.10 ($false),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[441, 414, 435, 417, 433])).
% 141.06/91.10 tff(443,plain,(((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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)))) | (~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(444,plain,
% 141.06/91.10 ((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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)))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[443, 414, 413])).
% 141.06/91.10 tff(445,plain,
% 141.06/91.10 ((~(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)) | (~((~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)))))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[357, 241])).
% 141.06/91.10 tff(446,plain,
% 141.06/91.10 (![X: $i] : ((~r1(Y!21, 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)))))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[360, 445])).
% 141.06/91.10 tff(447,plain,
% 141.06/91.10 (![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[367, 364, 446])).
% 141.06/91.10 tff(448,plain,
% 141.06/91.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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))))))) <=> ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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))))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(449,plain,
% 141.06/91.10 ((p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(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))))))),
% 141.06/91.10 inference(rewrite,[status(thm)],[])).
% 141.06/91.10 tff(450,plain,
% 141.06/91.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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)) | (~((~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))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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)))))))),
% 141.06/91.10 inference(monotonicity,[status(thm)],[449])).
% 141.06/91.10 tff(451,plain,
% 141.06/91.10 (((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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)) | (~((~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))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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))))))),
% 141.06/91.10 inference(transitivity,[status(thm)],[450, 448])).
% 141.06/91.10 tff(452,plain,
% 141.06/91.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), 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))))))) | (p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), 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_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)))))))),
% 141.06/91.10 inference(quant_inst,[status(thm)],[])).
% 141.06/91.10 tff(453,plain,
% 141.06/91.10 ((~![Y: $i] : (p1(Y) | (~r1(tptp_fun_X_7(Y!21), Y)) | (~((~r1(Y, tptp_fun_X_9(Y))) | (~p1(tptp_fun_X_9(Y))) | p1(tptp_fun_Y_10(Y)) | (~r1(tptp_fun_X_9(Y), tptp_fun_Y_10(Y))))))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~r1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)), tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))) | (~p1(tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_9(tptp_fun_Y_8(Y!21)))) | p1(tptp_fun_Y_10(tptp_fun_Y_8(Y!21)))))),
% 141.06/91.10 inference(modus_ponens,[status(thm)],[452, 451])).
% 141.06/91.10 tff(454,plain,
% 141.06/91.10 ($false),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[453, 398, 395, 447, 444])).
% 141.06/91.10 tff(455,plain,((~![X: $i] : ((~p1(X)) | ![Y: $i] : (p1(Y) | (~r1(X, Y))) | (~r1(tptp_fun_Y_8(Y!21), X)))) | p1(tptp_fun_Y_8(Y!21)) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))), inference(lemma,lemma(discharge,[]))).
% 141.06/91.10 tff(456,plain,
% 141.06/91.10 (~![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X))))))),
% 141.06/91.10 inference(unit_resolution,[status(thm)],[455, 412, 386, 356, 394])).
% 141.06/91.10 tff(457,assumption,(~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))), introduced(assumption)).
% 141.06/91.10 tff(458,assumption,(~![X: $i] : ((~r1(Y!21, 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)))))))))))))), introduced(assumption)).
% 141.06/91.10 tff(459,plain,
% 141.06/91.10 (^[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] : ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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)))))))))))))))))))))))))),
% 141.06/91.10 inference(bind,[status(th)],[])).
% 141.06/91.10 tff(460,plain,
% 141.06/91.10 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)) | (~(p1(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))))))))))))))))))))))))),
% 141.06/91.10 inference(quant_intro,[status(thm)],[459])).
% 141.06/91.10 tff(461,plain,
% 141.06/91.10 (^[Y: $i] : refl(((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))) <=> ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))))),
% 141.06/91.11 inference(bind,[status(th)],[])).
% 141.06/91.11 tff(462,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(quant_intro,[status(thm)],[461])).
% 141.06/91.11 tff(463,plain,
% 141.06/91.11 (^[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] : ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))))),
% 141.06/91.11 inference(bind,[status(th)],[])).
% 141.06/91.11 tff(464,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(quant_intro,[status(thm)],[463])).
% 141.06/91.11 tff(465,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(transitivity,[status(thm)],[464, 462])).
% 141.06/91.11 tff(466,plain,
% 141.06/91.11 (^[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] : ((~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)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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))))))))))))))))))))))),
% 141.06/91.11 inference(bind,[status(th)],[])).
% 141.06/91.11 tff(467,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(quant_intro,[status(thm)],[466])).
% 141.06/91.11 tff(468,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))),
% 141.06/91.11 inference(and_elim,[status(thm)],[118])).
% 141.06/91.11 tff(469,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(modus_ponens,[status(thm)],[468, 467])).
% 141.06/91.11 tff(470,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(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)))))))))))))))))))))),
% 141.06/91.11 inference(modus_ponens,[status(thm)],[469, 465])).
% 141.06/91.11 tff(471,plain,
% 141.06/91.11 (![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))))))),
% 141.06/91.11 inference(modus_ponens,[status(thm)],[470, 460])).
% 141.06/91.11 tff(472,plain,
% 141.06/91.11 (((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))))))) | (~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)) | ![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))))))))))))))))))))))))),
% 141.06/91.11 inference(rewrite,[status(thm)],[])).
% 141.06/91.11 tff(473,plain,
% 141.06/91.11 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))))))),
% 141.06/91.11 inference(quant_inst,[status(thm)],[])).
% 141.06/91.11 tff(474,plain,
% 141.06/91.11 ((~![Y: $i] : ((~r1(X!0, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![Y: $i] : ((~r1(X, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))))))),
% 141.06/91.11 inference(modus_ponens,[status(thm)],[473, 472])).
% 141.06/91.11 tff(475,plain,
% 141.06/91.11 (![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)) | ![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)))))))))))))))))))))))),
% 141.06/91.11 inference(unit_resolution,[status(thm)],[474, 471, 119])).
% 141.06/91.11 tff(476,plain,
% 141.06/91.11 (((~![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)) | ![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)))))))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))))))) <=> ((~![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)) | ![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)))))))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))))))),
% 141.06/91.11 inference(rewrite,[status(thm)],[])).
% 141.06/91.11 tff(477,plain,
% 141.06/91.11 ((~![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)) | ![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)))))))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))))))),
% 141.06/91.11 inference(quant_inst,[status(thm)],[])).
% 141.06/91.11 tff(478,plain,
% 141.06/91.11 ((~![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)) | ![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)))))))))))))))))))))))) | (~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)) | ![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))))))))))))))))))))))),
% 141.06/91.11 inference(modus_ponens,[status(thm)],[477, 476])).
% 141.06/91.11 tff(479,plain,
% 141.06/91.11 (![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)) | ![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))))))))))))))))))))))),
% 141.06/91.11 inference(unit_resolution,[status(thm)],[478, 137, 475])).
% 141.06/91.11 tff(480,plain,
% 141.06/91.11 (((~![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)) | ![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))))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))))) <=> ((~![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)) | ![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))))))))))))))))))))))) | (~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)) | ![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))))))))))))))))))))))),
% 141.06/91.12 inference(rewrite,[status(thm)],[])).
% 141.06/91.12 tff(481,plain,
% 141.06/91.12 ((~![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)) | ![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))))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))))),
% 141.06/91.12 inference(quant_inst,[status(thm)],[])).
% 141.06/91.12 tff(482,plain,
% 141.06/91.12 ((~![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)) | ![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))))))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))))),
% 141.06/91.12 inference(modus_ponens,[status(thm)],[481, 480])).
% 141.06/91.12 tff(483,plain,
% 141.06/91.12 (![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)) | ![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)))))))))))))))))))))),
% 141.06/91.12 inference(unit_resolution,[status(thm)],[482, 142, 479])).
% 141.06/91.12 tff(484,plain,
% 141.06/91.12 (((~![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)) | ![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)))))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))))) <=> ((~![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)) | ![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)))))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))))),
% 141.06/91.12 inference(rewrite,[status(thm)],[])).
% 141.06/91.12 tff(485,plain,
% 141.06/91.12 ((~![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)) | ![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)))))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))))),
% 141.10/91.12 inference(quant_inst,[status(thm)],[])).
% 141.10/91.12 tff(486,plain,
% 141.10/91.12 ((~![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)) | ![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)))))))))))))))))))))) | (~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)) | ![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))))))))))))))))))))),
% 141.10/91.12 inference(modus_ponens,[status(thm)],[485, 484])).
% 141.10/91.12 tff(487,plain,
% 141.10/91.12 (![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)) | ![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))))))))))))))))))))),
% 141.10/91.12 inference(unit_resolution,[status(thm)],[486, 147, 483])).
% 141.10/91.12 tff(488,plain,
% 141.10/91.12 (((~![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)) | ![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))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))) <=> ((~![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)) | ![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))))))))))))))))))))) | (~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)) | ![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))))))))))))))))))))),
% 141.10/91.12 inference(rewrite,[status(thm)],[])).
% 141.10/91.12 tff(489,plain,
% 141.10/91.12 ((~![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)) | ![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))))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))))),
% 141.10/91.12 inference(quant_inst,[status(thm)],[])).
% 141.10/91.12 tff(490,plain,
% 141.10/91.12 ((~![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)) | ![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))))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))),
% 141.10/91.12 inference(modus_ponens,[status(thm)],[489, 488])).
% 141.10/91.12 tff(491,plain,
% 141.10/91.12 (![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)) | ![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)))))))))))))))))))),
% 141.10/91.12 inference(unit_resolution,[status(thm)],[490, 152, 487])).
% 141.10/91.12 tff(492,plain,
% 141.10/91.12 (((~![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)) | ![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)))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))) <=> ((~![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)) | ![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)))))))))))))))))))) | (~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)) | ![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)))))))))))))))))))),
% 141.10/91.12 inference(rewrite,[status(thm)],[])).
% 141.10/91.12 tff(493,plain,
% 141.10/91.12 ((~![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)) | ![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)))))))))))))))))))) | ((~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)) | ![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)))))))))))))))))))),
% 141.10/91.12 inference(quant_inst,[status(thm)],[])).
% 141.10/91.12 tff(494,plain,
% 141.10/91.12 ((~![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)) | ![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)))))))))))))))))))) | (~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)) | ![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))))))))))))))))))),
% 141.10/91.12 inference(modus_ponens,[status(thm)],[493, 492])).
% 141.10/91.12 tff(495,plain,
% 141.10/91.12 (![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)) | ![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))))))))))))))))))),
% 141.10/91.12 inference(unit_resolution,[status(thm)],[494, 157, 491])).
% 141.10/91.12 tff(496,plain,
% 141.10/91.12 (((~![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)) | ![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))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))) <=> ((~![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)) | ![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))))))))))))))))))) | (~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)) | ![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))))))))))))))))))),
% 141.10/91.12 inference(rewrite,[status(thm)],[])).
% 141.10/91.12 tff(497,plain,
% 141.10/91.12 ((~![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)) | ![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))))))))))))))))))) | ((~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)) | ![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))))))))))))))))))),
% 141.10/91.12 inference(quant_inst,[status(thm)],[])).
% 141.10/91.12 tff(498,plain,
% 141.10/91.12 ((~![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)) | ![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))))))))))))))))))) | (~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)) | ![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)))))))))))))))))),
% 141.10/91.12 inference(modus_ponens,[status(thm)],[497, 496])).
% 141.10/91.12 tff(499,plain,
% 141.10/91.12 (![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)) | ![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)))))))))))))))))),
% 141.10/91.12 inference(unit_resolution,[status(thm)],[498, 162, 495])).
% 141.10/91.12 tff(500,plain,
% 141.10/91.12 (((~![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)) | ![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)))))))))))))))))) | ((~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)) | ![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)))))))))))))))))) <=> ((~![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)) | ![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)))))))))))))))))) | (~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)) | ![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)))))))))))))))))),
% 141.10/91.12 inference(rewrite,[status(thm)],[])).
% 141.10/91.12 tff(501,plain,
% 141.10/91.12 ((~![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)) | ![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)))))))))))))))))) | ((~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)) | ![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)))))))))))))))))),
% 141.10/91.12 inference(quant_inst,[status(thm)],[])).
% 141.10/91.12 tff(502,plain,
% 141.10/91.12 ((~![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)) | ![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)))))))))))))))))) | (~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)) | ![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))))))))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[501, 500])).
% 141.10/91.13 tff(503,plain,
% 141.10/91.13 (![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[502, 167, 499])).
% 141.10/91.13 tff(504,plain,
% 141.10/91.13 (((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))) | ((~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![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))))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))) | (~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![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))))))))))))))))),
% 141.10/91.13 inference(rewrite,[status(thm)],[])).
% 141.10/91.13 tff(505,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))) | ((~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![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))))))))))))))))),
% 141.10/91.13 inference(quant_inst,[status(thm)],[])).
% 141.10/91.13 tff(506,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(X!18, Y)) | ![X: $i] : ((~r1(Y, X)) | ![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))))))))))))))))) | (~r1(X!18, Y!19)) | ![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[505, 504])).
% 141.10/91.13 tff(507,plain,
% 141.10/91.13 (![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[506, 172, 503])).
% 141.10/91.13 tff(508,plain,
% 141.10/91.13 (((~![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))) | ((~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, 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)))))))))))))))) <=> ((~![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))) | (~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, 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)))))))))))))))),
% 141.10/91.13 inference(rewrite,[status(thm)],[])).
% 141.10/91.13 tff(509,plain,
% 141.10/91.13 ((~![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))) | ((~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, 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)))))))))))))))),
% 141.10/91.13 inference(quant_inst,[status(thm)],[])).
% 141.10/91.13 tff(510,plain,
% 141.10/91.13 ((~![X: $i] : ((~r1(Y!19, X)) | ![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)))))))))))))))) | (~r1(Y!19, X!20)) | ![Y: $i] : ((~r1(X!20, 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))))))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[509, 508])).
% 141.10/91.13 tff(511,plain,
% 141.10/91.13 (![Y: $i] : ((~r1(X!20, 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))))))))))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[510, 177, 507])).
% 141.10/91.13 tff(512,plain,
% 141.10/91.13 (((~![Y: $i] : ((~r1(X!20, 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))))))))))))))) | ((~r1(X!20, Y!21)) | ![X: $i] : ((~r1(Y!21, 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))))))))))))))) <=> ((~![Y: $i] : ((~r1(X!20, 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))))))))))))))) | (~r1(X!20, Y!21)) | ![X: $i] : ((~r1(Y!21, 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))))))))))))))),
% 141.10/91.13 inference(rewrite,[status(thm)],[])).
% 141.10/91.13 tff(513,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(X!20, 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))))))))))))))) | ((~r1(X!20, Y!21)) | ![X: $i] : ((~r1(Y!21, 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))))))))))))))),
% 141.10/91.13 inference(quant_inst,[status(thm)],[])).
% 141.10/91.13 tff(514,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(X!20, 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))))))))))))))) | (~r1(X!20, Y!21)) | ![X: $i] : ((~r1(Y!21, 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: $i] : (p1(X) | (~r1(Y, X)))))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[513, 512])).
% 141.10/91.13 tff(515,plain,
% 141.10/91.13 ($false),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[514, 182, 511, 458])).
% 141.10/91.13 tff(516,plain,(![X: $i] : ((~r1(Y!21, 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)))))))))))))), inference(lemma,lemma(discharge,[]))).
% 141.10/91.13 tff(517,plain,
% 141.10/91.13 (((~![X: $i] : ((~r1(Y!21, 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)))))))))))))) | ((~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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)))))))))))))) <=> ((~![X: $i] : ((~r1(Y!21, 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)))))))))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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)))))))))))))),
% 141.10/91.13 inference(rewrite,[status(thm)],[])).
% 141.10/91.13 tff(518,plain,
% 141.10/91.13 ((~![X: $i] : ((~r1(Y!21, 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)))))))))))))) | ((~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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)))))))))))))),
% 141.10/91.13 inference(quant_inst,[status(thm)],[])).
% 141.10/91.13 tff(519,plain,
% 141.10/91.13 ((~![X: $i] : ((~r1(Y!21, 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)))))))))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21))) | ![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[518, 517])).
% 141.10/91.13 tff(520,plain,
% 141.10/91.13 ($false),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[519, 364, 516, 457])).
% 141.10/91.13 tff(521,plain,(![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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)))))))))))) | (~r1(Y!21, tptp_fun_X_7(Y!21)))), inference(lemma,lemma(discharge,[]))).
% 141.10/91.13 tff(522,plain,
% 141.10/91.13 (![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[521, 356])).
% 141.10/91.13 tff(523,assumption,(![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))), introduced(assumption)).
% 141.10/91.13 tff(524,assumption,((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))), introduced(assumption)).
% 141.10/91.13 tff(525,plain,
% 141.10/91.13 (((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))) <=> ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 141.10/91.13 inference(rewrite,[status(thm)],[])).
% 141.10/91.13 tff(526,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))) | ((~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))))),
% 141.10/91.13 inference(quant_inst,[status(thm)],[])).
% 141.10/91.13 tff(527,plain,
% 141.10/91.13 ((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))),
% 141.10/91.13 inference(modus_ponens,[status(thm)],[526, 525])).
% 141.10/91.13 tff(528,plain,
% 141.10/91.13 ($false),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[527, 395, 524, 523])).
% 141.10/91.13 tff(529,plain,((~![Y: $i] : ((~r1(tptp_fun_X_7(Y!21), Y)) | (~((~![X: $i] : ((~r1(Y, X)) | (~(p1(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))))))))))))) | (~r1(tptp_fun_X_7(Y!21), tptp_fun_Y_8(Y!21))) | (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))))), inference(lemma,lemma(discharge,[]))).
% 141.10/91.13 tff(530,plain,
% 141.10/91.13 (~((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[529, 522, 386])).
% 141.10/91.13 tff(531,plain,
% 141.10/91.13 (((~![X: $i] : ((~r1(tptp_fun_Y_8(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(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))))) | (p1(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))),
% 141.10/91.13 inference(tautology,[status(thm)],[])).
% 141.10/91.13 tff(532,plain,
% 141.10/91.13 (p1(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 141.10/91.13 inference(unit_resolution,[status(thm)],[531, 530])).
% 141.10/91.13 tff(533,plain,
% 141.10/91.13 ((~(p1(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))))) | p1(tptp_fun_Y_8(Y!21)) | ![X: $i] : ((~r1(tptp_fun_Y_8(Y!21), X)) | (~(p1(tptp_fun_Y_1(X)) | (~r1(X, tptp_fun_Y_1(X)))))) | (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))))),
% 141.12/91.14 inference(tautology,[status(thm)],[])).
% 141.12/91.14 tff(534,plain,
% 141.12/91.14 (~(p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X))))))),
% 141.12/91.14 inference(unit_resolution,[status(thm)],[533, 532, 394, 456])).
% 141.12/91.14 tff(535,plain,
% 141.12/91.14 ((p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))),
% 141.12/91.14 inference(tautology,[status(thm)],[])).
% 141.12/91.14 tff(536,plain,
% 141.12/91.14 (r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))),
% 141.12/91.14 inference(unit_resolution,[status(thm)],[535, 534])).
% 141.12/91.14 tff(537,plain,
% 141.12/91.14 ((p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))) | (~![Y: $i] : ((~p1(Y)) | (~r1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)), Y)) | ![X: $i] : (p1(X) | (~r1(Y, X)))))) | (~p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))))),
% 141.12/91.14 inference(tautology,[status(thm)],[])).
% 141.12/91.14 tff(538,plain,
% 141.12/91.14 (~p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21)))),
% 141.12/91.14 inference(unit_resolution,[status(thm)],[537, 534])).
% 141.12/91.14 tff(539,plain,
% 141.12/91.14 (((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))))) <=> ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))) | p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))))),
% 141.12/91.14 inference(rewrite,[status(thm)],[])).
% 141.12/91.14 tff(540,plain,
% 141.12/91.14 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))) | (p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21)))))),
% 141.12/91.14 inference(quant_inst,[status(thm)],[])).
% 141.12/91.14 tff(541,plain,
% 141.12/91.14 ((~![X: $i] : (p1(X) | (~r1(tptp_fun_Y_8(Y!21), X)))) | p1(tptp_fun_X_2(tptp_fun_Y_8(Y!21))) | (~r1(tptp_fun_Y_8(Y!21), tptp_fun_X_2(tptp_fun_Y_8(Y!21))))),
% 141.12/91.14 inference(modus_ponens,[status(thm)],[540, 539])).
% 141.12/91.14 tff(542,plain,
% 141.12/91.14 ($false),
% 141.12/91.14 inference(unit_resolution,[status(thm)],[541, 538, 536, 392])).
% 141.12/91.14 % SZS output end Proof
%------------------------------------------------------------------------------